Chaos in Hamiltonian Systems

Details Chaos in Hamiltonian Systems Chaos in Hamiltonian Systems

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413..131p&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 413, Issue 1844, pp. 131-143

Physics

7

Scientific paper

Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems, for which it is almost everywhere chaotic. The K.A.M. theorem and problems of convergence are discussed.

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