TY - JOUR
T1 - Algebraic escape in higher dimensional Hamiltonian systems
AU - Ding, Mingzhou
AU - Bountis, Tassos
AU - Ott, Edward
N1 - Funding Information:
We thank John Finn, Qi Chen and John Som-merer for several discussions. T.B. gratefully acknowledges the hospitality of the Laboratory for Plasma Research of the University of Maryland during his visit in May and June, 1990, where most of the work reported here was carried out. This work was supported by the Office of Naval Research (Physics Division).
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
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.
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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 -