Localization in a coupled standard map lattice

被引：3
作者：
Abel, M
Flach, S
Pikovsky, A
机构：
[1] Univ Potsdam, Inst Theoret Phys & Astrophys, D-14415 Potsdam, Germany
[2] Max Planck Inst Phys Complex Syst, D-01187 Dresden, Germany
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1998年 / 119卷 / 1-2期
关键词：
D O I：
10.1016/S0167-2789(98)00060-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study spatially localized excitations in a lattice of coupled standard maps. Time-periodic solutions (breathers) exist in a range of coupling that is shown to shrink as the period grows to inanity, thus excluding the possibility of time-quasiperiodic breathers. The evolution of initially localized chaotic and quasiperiodic states in a lattice is studied numerically. Chaos is demonstrated to spread slowly along the lattice, with the globally chaotic regime appearing as an eventually statistically stationary state. A quasiperiodic initial state has extremely large life time for small couplings, and for large couplings evolves slowly into global chaos. (C) 1998 Elsevier Science B.V.
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页码：4 / 21
页数：18
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