Dynamical Behaviors of a Modified Lorenz–Stenflo Chaotic System-Reference-Cited by-同舟云学术

Dynamical Behaviors of a Modified Lorenz–Stenflo Chaotic System

Published:2017-05 Issue:05 Volume:27 Page:1750074
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Zhang Fuchen¹,Wang Xingyuan²,Liao Xiaofeng³,Zhang Guangyun¹,Mu Chunlai⁴

Affiliation:

1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China

2. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, P. R. China

3. College of Electronic and Information Engineering, Southwest University, Chongqing 400715, P. R. China

4. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China

Abstract

In this paper, the ultimate bound and globally exponentially attractive sets of a modified Lorenz–Stenflo system are studied based on the Lyapunov stability theory and optimization theory. Comparing with the best results in the current literature, our new results include the existing results as special cases. Furthermore, the new results offer a theoretical support to studying the Hausdorff dimension of attractor of this modified Lorenz–Stenflo system. These theoretical results are also important and useful for chaos control and chaos synchronization.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417500742

Reference27 articles.

1. Qualitative Properties for a Fourth Order Rational Difference Equation

2. New method to obtain periodic solutions of period two and three of a rational difference equation

3. Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor

4. Attraktorlokalisierung des Lorenz-Systems

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