BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS-Reference-Cited by-同舟云学术

BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS

Published:2011-09 Issue:09 Volume:21 Page:2647-2664
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

YU PEI¹,LÜ JINHU²³

Affiliation:

1. Department of Applied Mathematics, The University of Western Ontario London, Ontario, Canada N6A 5B7, Canada

2. LSC, ISS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, P. R. China

3. School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia

Abstract

In this paper, a control method developed earlier is employed to consider controlling bifurcations in a class of Lorenz-like systems. Particular attention is focused on Hopf bifurcation control via linear and nonlinear stability analyses. The Lorenz system, Chen system and Lü system are studied in detail. Simple feedback controls are designed for controlling the stability of equilibrium solutions, limit cycles and chaotic motions. All formulas are derived in general forms including the system parameters. Computer simulation results are presented to confirm the analytical predictions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127411030003

Reference20 articles.

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

2. CONTROLLING OSCILLATION AMPLITUDES VIA FEEDBACK

3. Anti-control of Hopf bifurcations

4. BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS

Cited by 12 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. A fast-response active disturbance rejection control for a class of nonlinear uncertain systems;Measurement and Control;2024-01-31

2. Existence of Supercritical Hopf Bifurcation on a Type-Lorenz System;Journal of Applied Mathematics and Physics;2023

3. A Chaotic Hybrid Butterfly Optimization Algorithm with Particle Swarm Optimization for High-Dimensional Optimization Problems;Symmetry;2020-10-30

4. Stability and bifurcation control of a neuron system under a novel fractional-order PD controller;Science China Technological Sciences;2019-10-16

5. PD control at Neimark–Sacker bifurcations in a Mackey–Glass system;Advances in Difference Equations;2018-11-07