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

页码：1759 / 1765

页数：7

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