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

69 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)

Access to Document

10.1016/0375-9601(90)90910-G

Fingerprint Dive into the research topics of 'Algebraic escape in higher dimensional Hamiltonian systems'. Together they form a unique fingerprint.

Cite this

@article{dac8bd6f7afc48749db214fecbb2cd84,

title = "Algebraic escape in higher dimensional Hamiltonian systems",

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.",

author = "Mingzhou Ding and Tassos Bountis and Edward Ott",

year = "1990",

month = dec,

day = "24",

doi = "10.1016/0375-9601(90)90910-G",

language = "English",

volume = "151",

pages = "395--400",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "8",

}

TY - JOUR

T1 - Algebraic escape in higher dimensional Hamiltonian systems

AU - Ding, Mingzhou

AU - Bountis, Tassos

AU - Ott, Edward

PY - 1990/12/24

Y1 - 1990/12/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000314095&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000314095&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(90)90910-G

DO - 10.1016/0375-9601(90)90910-G

M3 - Article

AN - SCOPUS:0000314095

VL - 151

SP - 395

EP - 400

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 8

ER -