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Normal modes for nonlinear hamiltonian systems

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160230406openalex-snapshot
Regularization of kepler's problem and the averaging method on a manifold
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Vorlesungen über Himmelsmechanik
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Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
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Periodische Bewegungen mechanischer Systeme
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Generic properties of conservative systems
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O(n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten
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A theorem on the existence of periodic solutions to Hamiltonian systems with convex potential
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An extension to resonant cases of Liapunov's theorem concerning the periodic solutions near a Hamiltonian equilibrium
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AUTONOMOUS PERTURBATIONS OF SOME HAMILTONIAN SYSTEMS, ALL OF WHOSE SOLUTIONS ARE PERIODIC
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Perturbation of periodic manifolds of hamiltonian systems
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Foundations Of Mechanics
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Lagrangian Submanifolds and Hamiltonian Systems
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An Index of Fixed Point Type for Periodic Orbits
inferredcites →https://doi.org/10.2307/2373361openalex-snapshot
Generic Properties of Conservative Systems

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Generalization of Lyapunov Center Theorem for Hamiltonian Systems Via Normal Forms Theory
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References
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Further Reading
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Periodic Orbits near equilibria
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Seifert Conjecture in the Even Convex Case
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Periodic orbits near an equilibrium and a theorem by Alan Weinstein
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Symplectic v‐manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds
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Periodic solutions of hamiltonian systems
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Hamiltonian trajectories having prescribed minimal period
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Linear Versus Nonlinear Stability in Hamiltonian Systems
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Perturbation Theory and the Method of Detuning
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Nonlinear Normal Modes of Symmetric Hamiltonian Systems
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On the continuation of degenerate periodic orbits via normal form: Lower dimensional resonant tori
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A regular isomerization path among chaotic vibrational states of CH2(a˜1A1)
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Multiple transition states and roaming in ion–molecule reactions: A phase space perspective
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The dynamical matching mechanism in phase space for caldera-type potential energy surfaces
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Periodic orbits in the case of a zero eigenvalue
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J-harmonic functions on almost Hermitian manifolds
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On some dynamical and geometrical properties of the Maxwell–Bloch equations with a quadratic control
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Coulomb dynamics of three equal negative charges in field of fixed two equal positive charges
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Exact and quasi-exact Newton dynamics of n − 1 and n bodies n − 1 of which have equal masses
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Reduced-order modelling based on non-linear modes
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Synge's concept of stability applied to non-linear normal modes
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On the coupling of non-linear normal modes
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High–low frequency interaction in alternating FPU α -chains
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Explorations for alternating FPU-chains with large mass
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Existence of multiple periodic solutions for a natural Hamiltonian system in a potential well
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Asymptotic stability estimates near an equilibrium point
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Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
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Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems
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Generalization of Lyapunov Center Theorem for Hamiltonian systems via normal forms theory
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Bifurcation of gravity-capillary Stokes waves with constant vorticity
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Irrationally elliptic closed characteristics on compact convex hypersurfaces in R6
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Irrationally elliptic closed characteristics on compact convex hypersurfaces in R2
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Symplectic Reeb atlas and determination of periodic solutions in perturbed isotropic n-oscillators
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Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method
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Multiplicity of periodic solutions of nonlinear wave equations
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Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the -dimensional disk
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Index iteration theories for periodic orbits: Old and new
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Quartic normal forms for the periodic nonlinear Schrödinger equation with dispersion management
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Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields
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Vanishing twist in the Hamiltonian Hopf bifurcation
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Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation
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Breather solutions for inhomogeneous FPU models using Birkhoff normal forms
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On the nonexistence of degenerate phase-shift multibreathers in Klein–Gordon models with interactions beyond nearest neighbors
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Classical study of the rovibrational dynamics of a polar diatomic molecule in static electric fields
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Assigning vibrational polyads using relative equilibria: application to ozone
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Atom–surface diffraction: a trajectory description
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Flocks, games, and cognition: A geometric approach
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Saddle-node states in the spectra of HCO and DCO: a periodic orbit classification of vibrational levels
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A combined classical/quantum study of the photodissociation dynamics of NeBr2(B) near the Br2(B) dissociation limit
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Bifurcation diagrams of periodic orbits for unbound molecular systems: FH2
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Non-linear normal modes for systems with discrete symmetry
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Bandes pseudo-holomorphes en symplectisations I : comportement asymptotique
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Multiplicité des trajectoires fermées de systèmes hamiltoniens connexes
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Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systems
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Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
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A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium
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On relative normal modes
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Chapter 3 Dynamical Systems
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