Arnold's diffusion with two resonances

DOI10.1006/jdeq.1996.3251zbMath0885.58020OpenAlexW2075633586MaRDI QIDQ1361422

Ugo Bessi

Publication date: 23 April 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.3251

zbMATH Keywords

Arnold diffusionHamiltonian mechanics

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion ⋮ Arnold diffusion in a priori chaotic symplectic maps ⋮ On energy transferring in a periodic pendulum lattice with analytic weak couplings ⋮ On the chaotic diffusion in multidimensional Hamiltonian systems ⋮ Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders ⋮ Arnol′d Diffusion in a Pendulum Lattice ⋮ An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension ⋮ Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods

Cites Work

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• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• Homoclinic phenomena in Hamiltonian systems with several degrees of freedom
• Looking for the Bernoulli shift
• Variational construction of connecting orbits
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• A variational proof of a Sitnikov-like theorem
• An approach to arnold's diffusion through the calculus of variations

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