A variational approach to chaotic dynamics in periodically forced nonlinear oscillators

DOI10.1016/S0294-1449(00)00054-8zbMath0978.37024OpenAlexW2044494336WikidataQ127647106 ScholiaQ127647106MaRDI QIDQ1594905

Enrico Serra, Elena Bosetto

Publication date: 13 February 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2000__17_6_673_0

zbMATH Keywords

periodic orbitschaotic dynamicsvariational approachheteroclinic solutions

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (6)

Generic-type results for chaotic dynamics in equations with periodic forcing terms ⋮ Existence of homoclinic solutions to periodic orbits in a center manifold ⋮ Unnamed Item ⋮ Variational construction for heteroclinic orbits of the \(N\)-center problem ⋮ Invariant tori and topological entropy in Tonelli Lagrangian systems on the 2-torus ⋮ Chaotic dynamics of monotone twist maps

Cites Work

• The existence of homoclinic motions
• A variational approach to homoclinic orbits in Hamiltonian systems
• Looking for the Bernoulli shift
• Heteroclinics for a reversible Hamiltonian system. II
• Variational construction of connecting orbits
• Multibump periodic solutions of a family of Hamiltonian systems
• Homoclinics: Poincaré-Melnikov type results via a variational approach
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• On the structure of the solution set of forced pendulum-type equations
• Homoclinic solutions to periodic motions in a class of reversible equations
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• A global condition for periodic Duffing-like equations
• Non degeneracy and chaotic motions for a class of almost-periodic Lagrangean systems
• Heteroclinics for a reversible Hamiltonian system
• Connecting orbits for a reversible Hamiltonian system
• A global condition for quasi-random behavior in a class of conservative systems
• Heteroclinic chains for a reversible hamiltonian system
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A variational approach to chaotic dynamics in periodically forced nonlinear oscillators