Closed orbits and converse KAM theory

Knauf A (1990)

Publication Type: Journal article, Original article

Publication year: 1990


Publisher: Institute of Physics: Hybrid Open Access

Book Volume: 3

Pages Range: 961--973

Journal Issue: 3


DOI: 10.1088/0951-7715/3/3/019


The author considers the motion of a classical particle in a potential for values of the energy such that the particle cannot escape to infinity. It is known that in that case there exists at least one closed trajectory. Then for more than one freedom and energies smaller than the maximum of the potential the energy shell is not foliated by invariant tori. If any energy shell of a particle moving on a torus is foliated by invariant tori, then the potential is constant.

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How to cite


Knauf, A. (1990). Closed orbits and converse KAM theory. Nonlinearity, 3(3), 961--973.


Knauf, Andreas. "Closed orbits and converse KAM theory." Nonlinearity 3.3 (1990): 961--973.

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