On the public citation graph
Discrete versions of some classical integrable systems and factorization of matrix polynomials
0 signed · 453 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160420405openalex-snapshot
Matrix factorizations and integrable systems
inferredcites →https://doi.org/10.1007/978-1-4613-8109-9_7openalex-snapshot
Geometry of Quadrics and Spectral Theory
inferredcites →https://doi.org/10.1007/978-1-4757-1693-1openalex-snapshot
Mathematical Methods of Classical Mechanics
inferredcites →https://doi.org/10.1007/978-1-4757-2063-1openalex-snapshot
Mathematical Methods of Classical Mechanics
inferredcites →https://doi.org/10.1007/978-3-642-13929-1_3openalex-snapshot
Various Aspects of Integrable Hamiltonian Systems
inferredcites →https://doi.org/10.1007/978-94-009-3807-6openalex-snapshot
Symplectic Geometry and Analytical Mechanics
inferredcites →https://doi.org/10.1007/bf01029105openalex-snapshot
Solutions of domain type in anisotropic magnetic chains
inferredcites →https://doi.org/10.1007/bf01029106openalex-snapshot
Integration of the stationary problem for a classical spin chain
inferredcites →https://doi.org/10.1007/bf01077141openalex-snapshot
Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties
inferredcites →https://doi.org/10.1007/bf01077598openalex-snapshot
Integrable discrete-time systems and difference operators
inferredcites →https://doi.org/10.1007/bf01077717openalex-snapshot
Poisson manifolds and the schouten bracket
inferredcites →https://doi.org/10.1007/bf01086019openalex-snapshot
Real algebrogeometric solutions of the Landau-Lifshits equation in prym theta functions
inferredcites →https://doi.org/10.1007/bf01223376openalex-snapshot
Isospectral hamiltonian flows in finite and infinite dimensions
inferredcites →https://doi.org/10.1007/bf01391179openalex-snapshot
Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
inferredcites →https://doi.org/10.1007/bf01451409openalex-snapshot
Prym varieties and the geodesic flow onSO(n)
inferredcites →https://doi.org/10.1007/bf02098447openalex-snapshot
Isospectral Hamiltonian flows in finite and infinite dimensions
inferredcites →https://doi.org/10.1007/bfb0080422openalex-snapshot
Theory of operators and real algebraic geometry
inferredcites →https://doi.org/10.1016/0001-8708(80)90007-9openalex-snapshot
Completely integrable systems, Euclidean Lie algebras, and curves
inferredcites →https://doi.org/10.1016/0003-4916(73)90439-9openalex-snapshot
Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors
inferredcites →https://doi.org/10.1016/0167-2789(82)90069-0openalex-snapshot
The QR algorithm and scattering for the finite nonperiodic Toda lattice
inferredcites →https://doi.org/10.1016/0393-0440(90)90021-topenalex-snapshot
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
inferredcites →https://doi.org/10.1070/im1978v012n02abeh001859openalex-snapshot
EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
inferredcites →https://doi.org/10.1070/rm1976v031n01abeh001446openalex-snapshot
NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
inferredcites →https://doi.org/10.1080/03081088208817445openalex-snapshot
Factorization of selfadjoint matrix polynomials with constant signature
inferredcites →https://doi.org/10.1090/memo/0479openalex-snapshot
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions
inferredcites →https://doi.org/10.1515/crll.1859.56.46openalex-snapshot
De problemate quodam mechanico, quod ad primam integralium ultraellipticorum classem revocatur.
inferredcites →https://doi.org/10.1515/crll.1982.334.69openalex-snapshot
Geodesics on quadrics and a mechanical problem of C. Neumann.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/1097-0207(20001210)49:10<1295::aid-nme993>3.0.co;2-wopenalex-snapshot
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
inferred← citeshttps://doi.org/10.1002/1097-0207(20001210)49:10<1295::aid-nme993>3.3.co;2-nopenalex-snapshot
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
inferred← citeshttps://doi.org/10.1002/mana.200711162openalex-snapshot
On the Hamiltonian structure of Hirota‐Kimura discretization of the Euler top
inferred← citeshttps://doi.org/10.1002/nme.1272openalex-snapshot
Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies
inferred← citeshttps://doi.org/10.1002/nme.1874openalex-snapshot
Semi‐implicit reversible algorithms for rigid body rotational dynamics
inferred← citeshttps://doi.org/10.1002/nme.2541openalex-snapshot
Midpoint rule for variational integrators on Lie groups
inferred← citeshttps://doi.org/10.1002/nme.2603openalex-snapshot
Lagrangian mechanics and variational integrators on two‐spheres
inferred← citeshttps://doi.org/10.1002/nme.3160openalex-snapshot
Variational time integrators for finite‐dimensional thermo‐elasto‐dynamics without heat conduction
inferred← citeshttps://doi.org/10.1002/nme.3333openalex-snapshot
A numerical test of long‐time stability for rigid body integrators
inferred← citeshttps://doi.org/10.1007/3-540-58453-6_2openalex-snapshot
Baxterization, dynamical systems, and the symmetries of integrability
inferred← citeshttps://doi.org/10.1007/978-0-387-30440-3_126openalex-snapshot
Discrete Control Systems
inferred← citeshttps://doi.org/10.1007/978-1-4612-1246-1_10openalex-snapshot
Time Integration and Discrete Hamiltonian Systems
inferred← citeshttps://doi.org/10.1007/978-1-4612-1274-4_2openalex-snapshot
Conservative and Approximately Conservative Algorithms on Manifolds
inferred← citeshttps://doi.org/10.1007/978-1-4612-1532-5_7openalex-snapshot
Discrete Painlevé Equations
inferred← citeshttps://doi.org/10.1007/978-1-4612-2012-1_18openalex-snapshot
Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms
inferred← citeshttps://doi.org/10.1007/978-1-4612-2434-1_1openalex-snapshot
Complex Billiard Hamiltonian Systems and Nonlinear Waves
inferred← citeshttps://doi.org/10.1007/978-1-4612-2434-1_10openalex-snapshot
Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0
inferred← citeshttps://doi.org/10.1007/978-1-4612-2434-1_14openalex-snapshot
On the r-Matrix Structure of the Neumann System and its Discretizations
inferred← citeshttps://doi.org/10.1007/978-1-4614-1806-1_10openalex-snapshot
Discrete Control Systems
inferred← citeshttps://doi.org/10.1007/978-1-4939-2441-7_20openalex-snapshot
Hamel’s Formalism and Variational Integrators
inferred← citeshttps://doi.org/10.1007/978-3-030-01397-4_1openalex-snapshot
Why Geometric Numerical Integration?
inferred← citeshttps://doi.org/10.1007/978-3-030-01397-4_9openalex-snapshot
Bäcklund Transformations in Discrete Variational Principles for Lie-Poisson Equations
inferred← citeshttps://doi.org/10.1007/978-3-030-01593-0_5openalex-snapshot
The Clebsch Representation in Optimal Control and Low Rank Integrable Systems
inferred← citeshttps://doi.org/10.1007/978-3-030-31351-7_6openalex-snapshot
Variational Methods for Fluid-Structure Interactions
inferred← citeshttps://doi.org/10.1007/978-3-319-31879-0_5openalex-snapshot
A Brief Introduction to Variational Integrators
inferred← citeshttps://doi.org/10.1007/978-3-540-40357-9_5openalex-snapshot
Discrete Lagrangian Models
inferred← citeshttps://doi.org/10.1007/978-3-642-01777-3_13openalex-snapshot
Poisson Bracket and Lie-Poisson Schemes
inferred← citeshttps://doi.org/10.1007/978-3-642-01777-3_15openalex-snapshot
Lee-Variational Integrator
inferred← citeshttps://doi.org/10.1007/978-3-642-56478-9_10openalex-snapshot
Geometric Mechanics, Lagrangian Reduction, and Nonholonomic Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-84570-3_28openalex-snapshot
A Simple Method to Generate Integrable Symplectic Maps
inferred← citeshttps://doi.org/10.1007/978-3-642-88703-1_6openalex-snapshot
What Is an Integrable Mapping?
inferred← citeshttps://doi.org/10.1007/978-94-011-0017-5_8openalex-snapshot
The Discrete Korteweg—de Vries Equation
inferred← citeshttps://doi.org/10.1007/978-94-011-4994-5_5openalex-snapshot
Algebraic and differential geometric aspects of the integrability of nonlinear dynamical systems on infinite-dimensional functional manifolds
inferred← citeshttps://doi.org/10.1007/bf00739422openalex-snapshot
Hirota equation as an example of an integrable symplectic map
inferred← citeshttps://doi.org/10.1007/bf00994631openalex-snapshot
The discrete Korteweg-de Vries equation
inferred← citeshttps://doi.org/10.1007/bf01079590openalex-snapshot
Integrable Lagrangian correspondences and the factorization of matrix polynomials
inferred← citeshttps://doi.org/10.1007/bf01137542openalex-snapshot
Growth of the number of images of a point under iterates of a multivalued map
inferred← citeshttps://doi.org/10.1007/bf01212956openalex-snapshot
Equivariant constrained symplectic integration
inferred← citeshttps://doi.org/10.1007/bf01608780openalex-snapshot
Functional relations in lattice statistical mechanics, enumerative combinatorics, and discrete dynamical systems
inferred← citeshttps://doi.org/10.1007/bf01690457openalex-snapshot
The conservation laws for deformed classical models
inferred← citeshttps://doi.org/10.1007/bf02070933openalex-snapshot
Factorization and Poisson correspondences
inferred← citeshttps://doi.org/10.1007/bf02099285openalex-snapshot
Growth and integrability in the dynamics of mappings
inferred← citeshttps://doi.org/10.1007/bf02430634openalex-snapshot
Conserving algorithms for the dynamics of Hamiltonian systems on lie groups
inferred← citeshttps://doi.org/10.1007/bf02440162openalex-snapshot
Time integration and discrete Hamiltonian systems
inferred← citeshttps://doi.org/10.1007/bf02666023openalex-snapshot
On the Γ-convergence of discrete dynamics and variational integrators
inferred← citeshttps://doi.org/10.1007/bf02772221openalex-snapshot
Symplectic twist maps without conjugate points
inferred← citeshttps://doi.org/10.1007/bf02790360openalex-snapshot
Continuous versions of some discrete maps or what goes on when the lights go out
inferred← citeshttps://doi.org/10.1007/bfb0102557openalex-snapshot
Some algebraic and analytic structures in integrable systems
inferred← citeshttps://doi.org/10.1007/pl00005573openalex-snapshot
The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type
inferred← citeshttps://doi.org/10.1007/s000140050091openalex-snapshot
Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid
inferred← citeshttps://doi.org/10.1007/s000390050020openalex-snapshot
Exact Transverse Line Fields and Projective Billiards in a Ball
inferred← citeshttps://doi.org/10.1007/s00205-017-1133-0openalex-snapshot
On the Geometry of the Hamilton–Jacobi Equation and Generating Functions
inferred← citeshttps://doi.org/10.1007/s00211-014-0659-4openalex-snapshot
Discrete variational Lie group formulation of geometrically exact beam dynamics
inferred← citeshttps://doi.org/10.1007/s00220-003-1015-1openalex-snapshot
Tropical R and Tau Functions
inferred← citeshttps://doi.org/10.1007/s00220-008-0512-7openalex-snapshot
An Integrable Discretization of the Rational $${\mathfrak su(2)}$$ Gaudin Model and Related Systems
inferred← citeshttps://doi.org/10.1007/s00220-011-1223-zopenalex-snapshot
On the Integral Geometry of Liouville Billiard Tables
inferred← citeshttps://doi.org/10.1007/s002200050164openalex-snapshot
Affine Toda Field Theory as a 3-Dimensional Integrable System
inferred← citeshttps://doi.org/10.1007/s002200050505openalex-snapshot
Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs
inferred← citeshttps://doi.org/10.1007/s002200050537openalex-snapshot
What is the Relativistic Volterra Lattice?
inferred← citeshttps://doi.org/10.1007/s002200050642openalex-snapshot
Discrete Time Lagrangian Mechanics on Lie Groups,¶with an Application to the Lagrange Top
inferred← citeshttps://doi.org/10.1007/s00332-004-0585-1openalex-snapshot
On the ?-Convergence of Discrete Dynamics and Variational Integrators
inferred← citeshttps://doi.org/10.1007/s00332-007-9012-8openalex-snapshot
Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
inferred← citeshttps://doi.org/10.1007/s00332-013-9182-5openalex-snapshot
A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects
inferred← citeshttps://doi.org/10.1007/s00332-016-9311-zopenalex-snapshot
Geometry of Discrete-Time Spin Systems
inferred← citeshttps://doi.org/10.1007/s00332-021-09700-wopenalex-snapshot
Fractional Damping Through Restricted Calculus of Variations
inferred← citeshttps://doi.org/10.1007/s00332-022-09846-1openalex-snapshot
Stochastic Variational Principles for Dissipative Equations with Advected Quantities
inferred← citeshttps://doi.org/10.1007/s00440-023-01195-8openalex-snapshot
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve
inferred← citeshttps://doi.org/10.1007/s00466-008-0286-yopenalex-snapshot
Formulation and performance of variational integrators for rotating bodies
inferred← citeshttps://doi.org/10.1007/s00707-013-0914-2openalex-snapshot
A novel Quaternion integration approach for describing the behaviour of non-spherical particles
inferred← citeshttps://doi.org/10.1007/s10208-004-0118-6openalex-snapshot
The Discrete Moser?Veselov Algorithm for the Free Rigid Body, Revisited
inferred← citeshttps://doi.org/10.1007/s10208-008-9025-1openalex-snapshot
Optimal Control and Geodesics on Quadratic Matrix Lie Groups
inferred← citeshttps://doi.org/10.1007/s10208-008-9030-4openalex-snapshot
Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties
inferred← citeshttps://doi.org/10.1007/s10208-015-9287-3openalex-snapshot
Lie Group Spectral Variational Integrators
inferred← citeshttps://doi.org/10.1007/s102080010028openalex-snapshot
Geometric Integration Algorithms on Homogeneous Manifolds
inferred← citeshttps://doi.org/10.1007/s10440-012-9695-1openalex-snapshot
Constraints in Euler-Poincaré Reduction of Field Theories
inferred← citeshttps://doi.org/10.1007/s10444-004-4093-5openalex-snapshot
Discrete variational integrators and optimal control theory
inferred← citeshttps://doi.org/10.1007/s10543-007-0138-8openalex-snapshot
Invariantization of numerical schemes using moving frames
inferred← citeshttps://doi.org/10.1007/s10543-022-00932-0openalex-snapshot
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems
inferred← citeshttps://doi.org/10.1007/s10569-007-9073-xopenalex-snapshot
Lie group variational integrators for the full body problem in orbital mechanics
inferred← citeshttps://doi.org/10.1007/s11005-010-0381-9openalex-snapshot
On the Lagrangian Structure of Integrable Quad-Equations
inferred← citeshttps://doi.org/10.1007/s11005-012-0583-4openalex-snapshot
On Discrete Integrable Equations with Convex Variational Principles
inferred← citeshttps://doi.org/10.1007/s11072-006-0007-4openalex-snapshot
On the Lagrangian and Hamiltonian Aspects of Infinite-Dimensional Dynamical Systems and their Finite-Dimensional Reductions
inferred← citeshttps://doi.org/10.1007/s11425-006-2060-yopenalex-snapshot
Difference discrete connection and curvature on cubic lattice
inferred← citeshttps://doi.org/10.1007/s11587-018-0422-8openalex-snapshot
The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions
inferred← citeshttps://doi.org/10.1007/s12346-008-0011-4openalex-snapshot
Some Applications of Semi-Discrete Variational Integrators to Classical Field Theories
inferred← citeshttps://doi.org/10.1007/s13398-011-0020-zopenalex-snapshot
Field theories: reduction, constraints and variational integrators
inferred← citeshttps://doi.org/10.1007/s13398-011-0034-6openalex-snapshot
First variation formula for discrete variational problems in two independent variables
inferred← citeshttps://doi.org/10.1007/s13398-011-0046-2openalex-snapshot
A historical review on nonholomic mechanics
inferred← citeshttps://doi.org/10.1007/s40598-018-0085-2openalex-snapshot
Two-Valued Groups, Kummer Varieties, and Integrable Billiards
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90081-jopenalex-snapshot
Integrators for Lie-Poisson dynamical systems
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90149-4openalex-snapshot
Integrable symplectic maps
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00124-mopenalex-snapshot
Integrable deformations of a polygon
inferred← citeshttps://doi.org/10.1016/0375-9601(92)90084-yopenalex-snapshot
Time discretizations of lattice integrable systems
inferred← citeshttps://doi.org/10.1016/0375-9601(92)90222-8openalex-snapshot
A discrete Neumann system
inferred← citeshttps://doi.org/10.1016/0375-9601(92)90502-dopenalex-snapshot
Discretization of integrable systems
inferred← citeshttps://doi.org/10.1016/0375-9601(94)90097-3openalex-snapshot
A discrete-time Garnier system
inferred← citeshttps://doi.org/10.1016/0375-9601(95)00056-9openalex-snapshot
Dynamical r-matrices for integrable maps
inferred← citeshttps://doi.org/10.1016/0375-9601(95)00647-lopenalex-snapshot
Bi-Hamiltonian structure of the qd algorithm and new discretizations of the Toda lattice
inferred← citeshttps://doi.org/10.1016/0375-9601(96)00375-1openalex-snapshot
A discrete time peakons lattice
inferred← citeshttps://doi.org/10.1016/0378-4371(94)90055-8openalex-snapshot
Integrable mappings and polynomial growth
inferred← citeshttps://doi.org/10.1016/0378-4371(95)00220-2openalex-snapshot
Factorization properties of birational mappings
inferred← citeshttps://doi.org/10.1016/0393-0440(90)90021-topenalex-snapshot
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
inferred← citeshttps://doi.org/10.1016/j.aam.2011.11.006openalex-snapshot
Exact geometric theory of dendronized polymer dynamics
inferred← citeshttps://doi.org/10.1016/j.actaastro.2026.01.052openalex-snapshot
Galerkin lie group variational integrators developed for orbit-attitude coupled dynamics near small celestial bodies
inferred← citeshttps://doi.org/10.1016/j.aim.2008.06.021openalex-snapshot
Hyperelliptic Jacobians as billiard algebra of pencils of quadrics: Beyond Poncelet porisms
inferred← citeshttps://doi.org/10.1016/j.aim.2016.03.023openalex-snapshot
Integrable cluster dynamics of directed networks and pentagram maps
inferred← citeshttps://doi.org/10.1016/j.aim.2018.05.037openalex-snapshot
Introducing symplectic billiards
inferred← citeshttps://doi.org/10.1016/j.aim.2022.108476openalex-snapshot
Pentagram maps and refactorization in Poisson-Lie groups
inferred← citeshttps://doi.org/10.1016/j.aim.2023.109044openalex-snapshot
Resonance of ellipsoidal billiard trajectories and extremal rational functions
inferred← citeshttps://doi.org/10.1016/j.amc.2005.11.002openalex-snapshot
Discrete total variation calculus and Lee’s discrete mechanics
inferred← citeshttps://doi.org/10.1016/j.amc.2007.07.028openalex-snapshot
Variational integrators and the finite element method
inferred← citeshttps://doi.org/10.1016/j.automatica.2014.05.024openalex-snapshot
Optimal control of partitioned hybrid systems via discrete-time Hamilton–Jacobi theory
inferred← citeshttps://doi.org/10.1016/j.automatica.2016.10.022openalex-snapshot
MPC on manifolds with an application to the control of spacecraft attitude on SO(3)
inferred← citeshttps://doi.org/10.1016/j.cam.2021.113814openalex-snapshot
Solving the discrete Euler–Arnold equations for the generalized rigid body motion
inferred← citeshttps://doi.org/10.1016/j.cma.2007.01.017openalex-snapshot
Lie group variational integrators for the full body problem
inferred← citeshttps://doi.org/10.1016/j.cma.2011.03.010openalex-snapshot
Asynchronous variational contact mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2016.11.011openalex-snapshot
A multisymplectic integrator for elastodynamic frictionless impact problems
inferred← citeshttps://doi.org/10.1016/j.cma.2018.04.022openalex-snapshot
Galerkin Lie-group variational integrators based on unit quaternion interpolation
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113067openalex-snapshot
A review of structure-preserving numerical methods for engineering applications
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113475openalex-snapshot
Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation — no shear locking
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117367openalex-snapshot
Relative-kinematic formulation of geometrically exact beam dynamics based on Lie group variational integrators
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.02.032openalex-snapshot
Multisymplectic Lie group variational integrator for a geometrically exact beam in
inferred← citeshttps://doi.org/10.1016/j.cnsns.2018.04.025openalex-snapshot
New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties
inferred← citeshttps://doi.org/10.1016/j.cnsns.2021.106002openalex-snapshot
Some new discretizations of the Euler–Lagrange equation
inferred← citeshttps://doi.org/10.1016/j.compstruc.2016.05.010openalex-snapshot
On Energy–Entropy–Momentum integration methods for discrete thermo-visco-elastodynamics
inferred← citeshttps://doi.org/10.1016/j.cor.2011.05.010openalex-snapshot
Simulated annealing for optimal ship routing
inferred← citeshttps://doi.org/10.1016/j.finel.2014.10.003openalex-snapshot
Explicit symplectic momentum-conserving time-stepping scheme for the dynamics of geometrically exact rods
inferred← citeshttps://doi.org/10.1016/j.geomphys.2006.05.006openalex-snapshot
Discrete Lagrangian field theories on Lie groupoids
inferred← citeshttps://doi.org/10.1016/j.geomphys.2010.06.001openalex-snapshot
Periodic billiard orbits on n -dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations
inferred← citeshttps://doi.org/10.1016/j.geomphys.2011.09.009openalex-snapshot
First variation formula and conservation laws in several independent discrete variables
inferred← citeshttps://doi.org/10.1016/j.geomphys.2011.12.004openalex-snapshot
Structure-preserving algorithms for Birkhoffian systems
inferred← citeshttps://doi.org/10.1016/j.geomphys.2020.104032openalex-snapshot
Pseudo-Euclidean billiards within confocal curves on the hyperboloid of one sheet
inferred← citeshttps://doi.org/10.1016/j.ifacol.2021.06.105openalex-snapshot
Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.09.030openalex-snapshot
Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.05.047openalex-snapshot
Variational integrators for reduced magnetohydrodynamics
inferred← citeshttps://doi.org/10.1016/j.jde.2013.04.008openalex-snapshot
Integrable maps from Galois differential algebras, Borel transforms and number sequences
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114537openalex-snapshot
Laurent sequences, extended Rota algebras and categorical discretization of dynamical systems
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2010.07.006openalex-snapshot
An accurate numerical integration scheme for finite rotations using rotation vector parametrization
inferred← citeshttps://doi.org/10.1016/j.jmaa.2004.12.029openalex-snapshot
Variational calculus on q-nonuniform lattices
inferred← citeshttps://doi.org/10.1016/j.laa.2007.08.043openalex-snapshot
Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations
inferred← citeshttps://doi.org/10.1016/j.matpur.2005.12.002openalex-snapshot
Geometry of integrable billiards and pencils of quadrics
inferred← citeshttps://doi.org/10.1016/j.mechmachtheory.2022.104918openalex-snapshot
A multisymplectic Lie algebra variational integrator for flexible multibody dynamics on the special Euclidean group SE (3)
inferred← citeshttps://doi.org/10.1016/j.mechmachtheory.2023.105462openalex-snapshot
Hamel's field variational integrator for simulating dynamics of thin-walled geometrically exact beams with warping effects
inferred← citeshttps://doi.org/10.1016/j.na.2009.10.029openalex-snapshot
Discretization of nonlinear evolution equations over associative function algebras
inferred← citeshttps://doi.org/10.1016/j.physd.2007.09.001openalex-snapshot
Invariantization of the Crank–Nicolson method for Burgers’ equation
inferred← citeshttps://doi.org/10.1016/j.physd.2011.07.011openalex-snapshot
Geometric, variational discretization of continuum theories
inferred← citeshttps://doi.org/10.1016/j.physd.2015.08.002openalex-snapshot
Variational integrators for nonvariational partial differential equations
inferred← citeshttps://doi.org/10.1016/j.physd.2019.132172openalex-snapshot
Swirling fluid flow in flexible, expandable elastic tubes: Variational approach, reductions and integrability
inferred← citeshttps://doi.org/10.1016/j.physd.2023.133696openalex-snapshot
Birational Solutions to the Set-Theoretical 4-Simplex Equation
inferred← citeshttps://doi.org/10.1016/j.physleta.2009.09.063openalex-snapshot
Integrable deformations of integrable symplectic maps
inferred← citeshttps://doi.org/10.1016/j.physleta.2010.02.080openalex-snapshot
An integrable lattice equation related to the nKN system
inferred← citeshttps://doi.org/10.1016/s0021-9991(03)00306-1openalex-snapshot
Stabilization and attitude of a triaxial rigid body by Lie group methods
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00450-0openalex-snapshot
The Moser–Veselov equation
inferred← citeshttps://doi.org/10.1016/s0034-4877(07)80002-4openalex-snapshot
Discrete variational principles for lagrangians linear in velocities
inferred← citeshttps://doi.org/10.1016/s0167-2789(97)00051-1openalex-snapshot
Mechanical integrators derived from a discrete variational principle
inferred← citeshttps://doi.org/10.1016/s0167-2789(99)00014-7openalex-snapshot
Growth-complexity spectrum of some discrete dynamical systems
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00246-2openalex-snapshot
Classical r-matrix structures of integrable mappings related to the Volterra lattice
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00258-9openalex-snapshot
Lagrangian time-discretization of the Korteweg–de Vries equation
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00264-4openalex-snapshot
Heteroclinic orbits and Flux in a perturbed integrable Suris map
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00776-3openalex-snapshot
The Lie–Poisson representation of the nonlinearized eigenvalue problem of the Kac–van Moerbeke hierarchy
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00837-9openalex-snapshot
Integrability of Adler's discretization of the Neumann system
inferred← citeshttps://doi.org/10.1016/s0375-9601(02)01388-9openalex-snapshot
Lagrangian time-discretization of the Hunter–Saxton equation
inferred← citeshttps://doi.org/10.1016/s0375-9601(03)00915-0openalex-snapshot
Yang–Baxter maps and integrable dynamics
inferred← citeshttps://doi.org/10.1016/s0375-9601(03)00955-1openalex-snapshot
Symplectic and multisymplectic schemes with the simple finite element method
inferred← citeshttps://doi.org/10.1016/s0375-9601(97)00332-0openalex-snapshot
Integrable perturbations of billiards on constant curvature surfaces
inferred← citeshttps://doi.org/10.1016/s0375-9601(99)00784-7openalex-snapshot
On billiard solutions of nonlinear PDEs
inferred← citeshttps://doi.org/10.1016/s0377-0427(98)00084-3openalex-snapshot
On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift
inferred← citeshttps://doi.org/10.1016/s0378-4371(00)00236-3openalex-snapshot
The nonlinearized eigenvalue problem of the Toda hierarchy in the Lie–Poisson framework
inferred← citeshttps://doi.org/10.1016/s0378-4371(00)00314-9openalex-snapshot
A new family of four-dimensional symplectic and integrable mappings
inferred← citeshttps://doi.org/10.1016/s0378-4371(98)00452-xopenalex-snapshot
Rational dynamical zeta functions for birational transformations
inferred← citeshttps://doi.org/10.1016/s0393-0440(00)00018-8openalex-snapshot
Symmetry reduction of discrete Lagrangian mechanics on Lie groups
inferred← citeshttps://doi.org/10.1016/s0393-0440(02)00029-3openalex-snapshot
Bäcklund transformations for finite-dimensional integrable systems: a geometric approach
inferred← citeshttps://doi.org/10.1016/s0393-0440(02)00219-xopenalex-snapshot
On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies
inferred← citeshttps://doi.org/10.1016/s0393-0440(97)00013-2openalex-snapshot
Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I
inferred← citeshttps://doi.org/10.1017/cbo9781139525381openalex-snapshot
Principles of Discrete Time Mechanics
inferred← citeshttps://doi.org/10.1017/s0143385702001049openalex-snapshot
Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampère equations
inferred← citeshttps://doi.org/10.1017/s014338570700096xopenalex-snapshot
Discrete analog of the projective equivalence and integrable billiard tables
inferred← citeshttps://doi.org/10.1017/s096249290100006xopenalex-snapshot
Discrete mechanics and variational integrators
inferred← citeshttps://doi.org/10.1023/a:1006178224117openalex-snapshot
Classical Integrable Systems and Billiards Related to Generalized Jacobians
inferred← citeshttps://doi.org/10.1023/a:1007634406786openalex-snapshot
Algebraic Entropy of Birational Maps with Invariant Curves
inferred← citeshttps://doi.org/10.1023/a:1007654605901openalex-snapshot
Discrete Lagrangian Reduction, Discrete Euler–Poincaré Equations, and Semidirect Products
inferred← citeshttps://doi.org/10.1023/a:1011459217639openalex-snapshot
A Note on the Numerical Solution of the Heavy Top Equations
inferred← citeshttps://doi.org/10.1023/a:1012326828456openalex-snapshot
An Ellipsoidal Billiard with a Quadratic Potential
inferred← citeshttps://doi.org/10.1023/a:1023668015087openalex-snapshot
Partitioned Runge–Kutta Methods in Lie-Group Setting
inferred← citeshttps://doi.org/10.1049/iet-cta.2009.0103openalex-snapshot
Closed-form solution of particular case of algebraic Riccati equation using Moser–Veselov equation
inferred← citeshttps://doi.org/10.1063/1.1559642openalex-snapshot
Total variation in Hamiltonian formalism and symplectic-energy integrators
inferred← citeshttps://doi.org/10.1063/1.1621058openalex-snapshot
On variations in discrete mechanics and field theory
inferred← citeshttps://doi.org/10.1063/1.1644325openalex-snapshot
Geometric integrators and nonholonomic mechanics
inferred← citeshttps://doi.org/10.1063/1.166114openalex-snapshot
The dynamics of a generalized Heisenberg ferromagnetic spin chain
inferred← citeshttps://doi.org/10.1063/1.4706003openalex-snapshot
Classification of symmetric periodic trajectories in ellipsoidal billiards
inferred← citeshttps://doi.org/10.1063/1.4820817openalex-snapshot
Higher-order discrete variational problems with constraints
inferred← citeshttps://doi.org/10.1063/1.5034381openalex-snapshot
On exact discretization of cubic-quintic Duffing oscillator
inferred← citeshttps://doi.org/10.1063/1.531611openalex-snapshot
Integrable discretizations of the Bogoyavlensky lattices
showing the first 200 of 425 · page through all 425
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.