Delay-induced multistability near a global bifurcation
混沌动力学
2015-06-26 v2
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
@article{arxiv.nlin/0702002,
title = {Delay-induced multistability near a global bifurcation},
author = {J. Hizanidis and R. Aust and E. Schoell},
journal= {arXiv preprint arXiv:nlin/0702002},
year = {2015}
}
备注
Int. J. Bif. Chaos (2007), in print