On the disappearance of isolating integrals in dynamical systems with more than two degrees of freedom

DOI10.1007/BF00649179zbMath0271.70014OpenAlexW2000463867MaRDI QIDQ758870

Claude Froeschlé, Jean-Paul Scheidecker

Publication date: 1973

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00649179

Mathematics Subject Classification ID

Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (10)

ON THE COMPUTATION OF LYAPUNOV EXPONENTS FOR DISCRETE TIME SERIES: APPLICATIONS TO TWO-DIMENSIONAL SYMPLECTIC AND DISSIPATIVE MAPPINGS ⋮ A small example of Arnold diffusion ⋮ Exact numerical studies of Hamiltonian maps: Iterating without roundoff error ⋮ Generalized Lyapunov exponents indicators in Hamiltonian dynamics: An application to a double star system ⋮ Chaotic properties of internal wave triad interactions ⋮ Disappearance of integrals in systems of more than two degrees of freedom ⋮ Invariant surfaces and orbital behaviour in dynamical systems of 3 degrees of freedom. II ⋮ Diffusion in Hamiltonian Quasi-Integrable Systems ⋮ Special Features of Galactic Dynamics ⋮ The Lyapunov characteristic exponents-applications to celestial mechanics

Cites Work

• Numerical study of the stochasticity of dynamical systems with more than two degrees of freedom
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