Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation

被引：8
|
作者：
Felk, E. V. [1 ]
Kuznetsov, A. P. [1 ]
Savin, A. V. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2014年 / 410卷
关键词：
Weak dissipation; Stochastic web; Transition to chaos; MAP; DYNAMICS;
D O I：
10.1016/j.physa.2014.05.066
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The effect of small nonlinear dissipation on the dynamics of a system with the stochastic web which is linear oscillator driven by pulses is studied. The scenario of coexisting attractors evolution with the increase of nonlinear dissipation is revealed. It is shown that the period-doubling transition to chaos is possible only for the third-order resonance and only hard transitions can be seen for all other resonances. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：561 / 572
页数：12
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