Delay-induced multistability near a global bifurcation

被引：18
|
作者：
Hizanidis, J. [1 ]
Aust, R. [1 ]
Schoell, E. [1 ]
机构：
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 06期
关键词：
nonlinear dynamical system; control; delayed feedback; multistability;
D O I：
10.1142/S0218127408021348
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node. Delay renders the phase space infinite-dimensional and creates multistability of periodic orbits and the fixed point. Homoclinic bifurcations, period-doubling and saddle-node bifurcations of limit cycles are found in accordance with Shilnikov's theorems.
引用
收藏
页码：1759 / 1765
页数：7
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