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Periodic solutions of hamiltonian equations

https://doi.org/10.1007/bfb0072117
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What this work says

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

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Homoclinic points near elliptic fixed points
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Generalized implicit function theorems with applications to some small divisor problems, I
inferredcites →https://doi.org/10.1002/cpa.3160290613openalex-snapshot
Periodic orbits near an equilibrium and a theorem by Alan Weinstein
inferredcites →https://doi.org/10.1002/cpa.3160300207openalex-snapshot
Symplectic v‐manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds
inferredcites →https://doi.org/10.1002/cpa.3160310203openalex-snapshot
Periodic solutions of hamiltonian systems
inferredcites →https://doi.org/10.1002/cpa.3160310408openalex-snapshot
Addendum to “periodic orbits near an equilibrium and a theorem by alan weinstein”
inferredcites →https://doi.org/10.1002/cpa.3160330202openalex-snapshot
Hamiltonian trajectories having prescribed minimal period
inferredcites →https://doi.org/10.1002/cpa.3160330204openalex-snapshot
Some critical point theorems and applications
inferredcites →https://doi.org/10.1002/cpa.3160330504openalex-snapshot
On subharmonic solutions of hamiltonian systems
inferredcites →https://doi.org/10.1002/cpa.3160330507openalex-snapshot
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
inferredcites →https://doi.org/10.1002/cpa.3160340402openalex-snapshot
A geometrical index for the group S1 and some applications to the study of periodic solutions of ordinary differential equations
inferredcites →https://doi.org/10.1002/cpa.3160340503openalex-snapshot
Solutions of asymptotically linear operator equations via morse theory
inferredcites →https://doi.org/10.1002/cpa.3160350504openalex-snapshot
Integrability of hamiltonian systems on cantor sets
inferredcites →https://doi.org/10.1002/cpa.3160370204openalex-snapshot
Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
inferredcites →https://doi.org/10.1007/978-1-4684-6728-4_1openalex-snapshot
Recent Advances in the Study of the Existence of Periodic Orbits of Hamiltonian Systems
inferredcites →https://doi.org/10.1007/978-1-4757-1693-1openalex-snapshot
Mathematical Methods of Classical Mechanics
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Mathematical Methods of Classical Mechanics
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Gewöhnliche Differentialgleichungen
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Lectures on Closed Geodesics
inferredcites →https://doi.org/10.1007/978-3-642-87284-6openalex-snapshot
Lectures on Celestial Mechanics
inferredcites →https://doi.org/10.1007/bf00249584openalex-snapshot
Nonlinear oscillations and boundary value problems for Hamiltonian systems
inferredcites →https://doi.org/10.1007/bf00253043openalex-snapshot
On periodic solutions near equilibrium points of conservative systems
inferredcites →https://doi.org/10.1007/bf01214573openalex-snapshot
Bifurcations and Hamilton's principle
inferredcites →https://doi.org/10.1007/bf01229286openalex-snapshot
Are higher order resonances really interesting?
inferredcites →https://doi.org/10.1007/bf01236166openalex-snapshot
Periodic solutions near a resonant equilibrium of a Hamiltonian system
inferredcites →https://doi.org/10.1007/bf01291002openalex-snapshot
Periodische Bewegungen mechanischer Systeme
inferredcites →https://doi.org/10.1007/bf01298187openalex-snapshot
Periodic solutions of asymptotically linear Hamiltonian systems
inferredcites →https://doi.org/10.1007/bf01389167openalex-snapshot
Closed curves on convex hypersurfaces and periods of nonlinear oscillations
inferredcites →https://doi.org/10.1007/bf01389883openalex-snapshot
Critical point theorems for indefinite functionals
inferredcites →https://doi.org/10.1007/bf01390045openalex-snapshot
On fixed points of symplectic maps
inferredcites →https://doi.org/10.1007/bf01390270openalex-snapshot
Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
inferredcites →https://doi.org/10.1007/bf01393824openalex-snapshot
The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
inferredcites →https://doi.org/10.1007/bf01405263openalex-snapshot
Normal modes for nonlinear hamiltonian systems
inferredcites →https://doi.org/10.1007/bf01420283openalex-snapshot
Closed geodesics on complete surfaces
inferredcites →https://doi.org/10.1007/bf01450713openalex-snapshot
Solutions of minimal period for a class of convex Hamiltonian systems
inferredcites →https://doi.org/10.1007/bf01617921openalex-snapshot
On the construction of quasimodes associated with stable periodic orbits
inferredcites →https://doi.org/10.1007/bf01947071openalex-snapshot
Feynman path integrals and the trace formula for the Schrödinger operators
inferredcites →https://doi.org/10.1007/bf02392196openalex-snapshot
Forced vibrations of superquadratic Hamiltonian systems
inferredcites →https://doi.org/10.1007/bf02413852openalex-snapshot
On the periodic motions near a given periodic motion of a dynamical system
inferredcites →https://doi.org/10.1007/bf02545741openalex-snapshot
A fixed point theorem in symplectic geometry
inferredcites →https://doi.org/10.1007/bf02559515openalex-snapshot
An extension of Poincaré's last geometric theorem
inferredcites →https://doi.org/10.1007/bf02566074openalex-snapshot
Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique
inferredcites →https://doi.org/10.1007/bf02831625openalex-snapshot
A criterion for the non-existence of invariant circles
inferredcites →https://doi.org/10.1007/bfb0061415openalex-snapshot
An index theory for periodic solutions of a Hamiltonian system
inferredcites →https://doi.org/10.1007/bfb0085372openalex-snapshot
Proof of a generalized from of a fixed point theorem due to G. D. Birkhoff
inferredcites →https://doi.org/10.1016/0001-8708(76)90074-8openalex-snapshot
On the Morse index in variational calculus
inferredcites →https://doi.org/10.1016/0022-0396(68)90031-4openalex-snapshot
Periodic solutions of arbitrarily long periods in Hamiltonian systems
inferredcites →https://doi.org/10.1016/0022-0396(71)90055-6openalex-snapshot
A theorem on the existence of periodic solutions to Hamiltonian systems with convex potential
inferredcites →https://doi.org/10.1016/0022-0396(71)90094-5openalex-snapshot
On a family of periodic solutions of Hamiltonian systems
inferredcites →https://doi.org/10.1016/0022-0396(76)90094-2openalex-snapshot
Periodic solutions of x′' + f(x, t) = 0 via the Poincaré-Birkhoff theorem
inferredcites →https://doi.org/10.1016/0022-0396(77)90097-3openalex-snapshot
On boundary value problems for superlinear second order differential equations
inferredcites →https://doi.org/10.1016/0022-0396(78)90041-4openalex-snapshot
The Fuller index and global Hopf bifurcation
inferredcites →https://doi.org/10.1016/0022-0396(79)90034-2openalex-snapshot
Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz
inferredcites →https://doi.org/10.1016/0022-0396(79)90069-xopenalex-snapshot
Periodic solutions of a Hamiltonian system on a prescribed energy surface
inferredcites →https://doi.org/10.1016/0022-0396(79)90070-6openalex-snapshot
On the hypotheses of Rabinowitz' periodic orbit theorems
inferredcites →https://doi.org/10.1016/0022-0396(81)90007-3openalex-snapshot
Periodic solutions to Hamiltonian inclusions
inferredcites →https://doi.org/10.1016/0022-0396(82)90093-6openalex-snapshot
On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories
inferredcites →https://doi.org/10.1016/0022-0396(83)90069-4openalex-snapshot
A perturbation theory near convex Hamiltonian systems
inferredcites →https://doi.org/10.1016/0022-1236(73)90051-7openalex-snapshot
Dual variational methods in critical point theory and applications
inferredcites →https://doi.org/10.1016/0022-247x(70)90065-xopenalex-snapshot
On periodic solutions of second order Hamiltonian systems (I)
inferredcites →https://doi.org/10.1016/0040-9383(82)90023-4openalex-snapshot
Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
inferredcites →https://doi.org/10.1016/0040-9383(83)90033-2openalex-snapshot
Homology generated by iterated closed geodesics
inferredcites →https://doi.org/10.1016/0362-546x(78)90017-2openalex-snapshot
Global Hopf bifurcation from a multiple eigenvalue
inferredcites →https://doi.org/10.1016/b978-0-12-165550-1.50016-1openalex-snapshot
Some Minimax Theorems and Applications to Nonlinear Partial Differential Equations
inferredcites →https://doi.org/10.1016/b978-0-12-195250-1.50017-5openalex-snapshot
A Variational Method for Finding Periodic Solutions of Differential Equations
inferredcites →https://doi.org/10.1016/s0304-0208(08)71098-3openalex-snapshot
Periodic Solutions Near Equilibrium Points of Hamiltonian Systems
inferredcites →https://doi.org/10.1017/s0143385700001504openalex-snapshot
Some remarks on Birkhoff and Mather twist map theorems
inferredcites →https://doi.org/10.1017/s0143385700001978openalex-snapshot
The C1 Closing Lemma, including Hamiltonians
inferredcites →https://doi.org/10.1063/1.3068879openalex-snapshot
Stable and Random Motions in Dynamical Systems
inferredcites →https://doi.org/10.1090/cbms/029openalex-snapshot
Lectures on Symplectic Manifolds
inferredcites →https://doi.org/10.1090/cbms/038openalex-snapshot
Isolated Invariant Sets and the Morse Index
inferredcites →https://doi.org/10.1090/s0002-9904-1977-14384-xopenalex-snapshot
Bifurcation of periodic orbits on manifolds, and Hamiltonian systems
inferredcites →https://doi.org/10.1090/s0002-9939-1973-0315217-8openalex-snapshot
On Periodic Solutions of Autonomous Hamiltonian Systems of Ordinary Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9939-1979-0534415-7openalex-snapshot
A classical variational principle for periodic Hamiltonian trajectories
inferredcites →https://doi.org/10.1090/s0002-9947-1982-0637039-0openalex-snapshot
An improvement of the Poincaré-Birkhoff fixed point theorem
inferredcites →https://doi.org/10.1090/s0002-9947-1982-0675067-xopenalex-snapshot
On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
inferredcites →https://doi.org/10.1090/s0273-0979-1980-14824-7openalex-snapshot
Marston Morse and his mathematical works
inferredcites →https://doi.org/10.1090/s0273-0979-1982-15038-8openalex-snapshot
Lectures on Morse theory, old and new
inferredcites →https://doi.org/10.1137/0513027openalex-snapshot
Periodic Solutions of Hamiltonian Systems: A Survey
inferredcites →https://doi.org/10.1142/9789812812797_0033openalex-snapshot
HOMOLOGY GENERATED BY ITERATED CLOSED GEODESICS
inferredcites →https://doi.org/10.1215/s0012-7094-82-04932-8openalex-snapshot
On the number of closed geodesics on a compact Riemannian manifold
inferredcites →https://doi.org/10.1307/mmj/1029001816openalex-snapshot
Proof of the Poincaré-Birkhoff fixed point theorem.
inferredcites →https://doi.org/10.1515/9781400881437-004openalex-snapshot
EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS
inferredcites →https://doi.org/10.1515/9781400882694openalex-snapshot
Stable and Random Motions in Dynamical Systems
inferredcites →https://doi.org/10.2307/1970458openalex-snapshot
On the Minimal Sets of Non-Singular Vector Fields
inferredcites →https://doi.org/10.2307/1971077openalex-snapshot
Counterexamples to the Seifert Conjecture and Opening Closed Leaves of Foliations
inferredcites →https://doi.org/10.2307/1971148openalex-snapshot
On the Number of Periodic Trajectories for a Hamiltonian Flow on a Convex Energy Surface
inferredcites →https://doi.org/10.2307/1971185openalex-snapshot
Periodic Orbits for Convex Hamiltonian Systems
inferredcites →https://doi.org/10.2307/2007062openalex-snapshot
Closed Geodesics on Positively Curved Manifolds
inferredcites →https://doi.org/10.2307/2373443openalex-snapshot
Periodic Solutions of Second Order Dynamical Systems and Isoperimetric Variational Problems
inferredcites →https://doi.org/10.2307/2373851openalex-snapshot
Global Bifurcations of Periodic Orbits
inferredcites →https://doi.org/10.24033/bsmf.1944openalex-snapshot
Oscillations de systèmes hamiltoniens non linéaires. III
inferredcites →https://doi.org/10.3929/ethz-a-000243606openalex-snapshot
Integrability of Hamiltonian systems on cantor sets
inferredcites →https://doi.org/10.3931/e-rara-421openalex-snapshot
Les méthodes nouvelles de la mécanique céleste
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Problème général de la stabilité du mouvement

What points at this work

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

inferred← citeshttps://doi.org/10.1007/bf01260388openalex-snapshot
Symplectic fixed points and holomorphic spheres
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Global aspects of periodic solutions of nonlinear conservative system
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An "A-Priori" estimate for oscillatory-equations
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Fixed point results for symplectic maps related to the arnold - conjecture
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Computation of Time-Periodic Solutions of the Benjamin–Ono Equation
inferred← citeshttps://doi.org/10.1016/0020-7462(93)90035-jopenalex-snapshot
Qualitative analysis of periodic oscillations in classical autonomous Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/0021-8928(86)90056-0openalex-snapshot
Non-local criteria for the existence and stability of periodic oscillations in autonomous hamiltonian systems
inferred← citeshttps://doi.org/10.1016/s0362-546x(02)00120-7openalex-snapshot
Periodic solutions for nonlinear differential systems of equations with a small parameter
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Nonlocal generalization of the Lyapunov theorem
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Existence and orbital stability of periodic solutions for small-parameter nonlinear differential systems
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Generalized index for Hamiltonian systems with applications
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Boundedness of solutions in impulsive Duffing equations with polynomial potentials and $C^{1}$ time dependent coefficients
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