CHARACTERIZATION OF STATIC BIFURCATIONS FOR MAPS IN THE FREQUENCY DOMAIN-Reference-Cited by-同舟云学术

CHARACTERIZATION OF STATIC BIFURCATIONS FOR MAPS IN THE FREQUENCY DOMAIN

Published:2007-03 Issue:03 Volume:17 Page:975-983
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ZENG LI¹,ZHAO YI²

Affiliation:

1. Department of Applied Mathematics, School of Informatics, GuangDong University of Foreign Studies, GuangZhou, GuangDong 510420, P. R. China

2. Department of Mathematics, Sun Yat-Sen University, GuangZhou, GuangDong 510275, P. R. China

Abstract

In this paper n-dimensional discrete-time systems with static bifurcations are considered from the viewpoint of control theory. This paper presents an adaption of available formulas for bifurcation analysis in two-dimensional continuous-time systems to the case of smooth maps using a frequency domain approach. The analyzed bifurcations are the building blocks to understand other more complex singularities and to propose certain methods for controlling the bifurcation behavior in nonlinear maps in the future.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127407017690

Reference18 articles.

1. Local feedback stabilization and bifurcation control, I. Hopf bifurcation

2. Local feedback stabilization and bifurcation control, II. Stationary bifurcation

3. Hopf bifurcation for maps: a frequency-domain approach

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hopf Bifurcation in a Chaotic Associative Memory;Neurocomputing;2015-03