Algebraic escape in higher dimensional Hamiltonian systems

Mingzhou Ding; Tassos Bountis; Edward Ott

doi:10.1016/0375-9601(90)90910-G

Algebraic escape in higher dimensional Hamiltonian systems

Mingzhou Ding, Tassos Bountis, Edward Ott

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

73 Citations (Scopus)

Abstract

The escape of particles from a region partially filled with KAM tori is investigated for higher dimensional Hamiltonian systems using four-dimensional and six-dimensional symplectic maps. Numerical experiments show that the decay with time of the number of surviving particles is well fit by an algebraic law, N(t)∼t^-α, over several decades.

Original language	English
Pages (from-to)	395-400
Number of pages	6
Journal	Physics Letters A
Volume	151
Issue number	8
DOIs	https://doi.org/10.1016/0375-9601(90)90910-G
Publication status	Published - Dec 24 1990

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "The escape of particles from a region partially filled with KAM tori is investigated for higher dimensional Hamiltonian systems using four-dimensional and six-dimensional symplectic maps. Numerical experiments show that the decay with time of the number of surviving particles is well fit by an algebraic law, N(t)∼t-α, over several decades.",

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