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
URI: http://stacks.iop.org/0951-7715/3/961
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.
APA:
Knauf, A. (1990). Closed orbits and converse KAM theory. Nonlinearity, 3(3), 961--973. https://doi.org/10.1088/0951-7715/3/3/019
MLA:
Knauf, Andreas. "Closed orbits and converse KAM theory." Nonlinearity 3.3 (1990): 961--973.
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