Hamiltonian chaos

Cresson, Jacky
May 2000
AIP Conference Proceedings;2000, Vol. 517 Issue 1, p510
Academic Journal
We describe a new mechanism of instability for three degrees of freedom initially hyperbolic Hamiltonian systems. It is based on the specific geometry of simple resonances and the transversality-torsion phenomenon. It provides a solution to the gaps’s problem occuring in the Arnold’s mechanism of instability. We discuss the relevance of this work with respect to the Arnold’s conjecture about topological instability of nearly integrable Hamiltonian systems. © 2000 American Institute of Physics.


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