DETECTING UNSTABLE PERIODIC ORBITS IN CHEN'S CHAOTIC ATTRACTOR-Reference-Cited by-同舟云学术

DETECTING UNSTABLE PERIODIC ORBITS IN CHEN'S CHAOTIC ATTRACTOR

Published:2000-08 Issue:08 Volume:10 Page:1987-1991
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

YU XINGHUO¹,XIA YANG¹

Affiliation:

1. Faculty of Informatics and Communication, Central Queensland University, Rockhampton QLD 4702, Australia

Abstract

This letter further explores the newly discovered Chen's chaotic attractor by means of detecting its unstable periodic orbits. An effective and simple computational detection algorithm based on the sliding mode concept is proposed and used for finding these orbits.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127400001250

Reference9 articles.

1. YET ANOTHER CHAOTIC ATTRACTOR

2. Systematic Computation of the Least Unstable Periodic Orbits in Chaotic Attractors

3. Characterization of an experimental strange attractor by periodic orbits

4. CHARACTERISATION OF CHAOS IN CHUA'S OSCILLATOR IN TERMS OF UNSTABLE PERIODIC ORBITS

5. Controlling chaos

Cited by 35 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. Fractional order chaotic systems: history, achievements, applications, and future challenges;The European Physical Journal Special Topics;2020-03

2. Periodic Orbits and Chaos in Nonsmooth Delay Differential Equations;International Journal of Bifurcation and Chaos;2019-09

3. An On-Line Tracker for a Stochastic Chaotic System Using Observer/Kalman Filter Identification Combined with Digital Redesign Method;Algorithms;2017-02-15

4. Combination of Observer/Kalman Filter Identification and Digital Redesign of Observer-Based Tracker for Stochastic Chaotic Systems;2016 International Symposium on Computer, Consumer and Control (IS3C);2016-07

5. Rank One Chaos in Periodically-Kicked Time-Delayed Chen System;International Journal of Bifurcation and Chaos;2015-07