A Chaotic System with Different Families of Hidden Attractors-Reference-Cited by-同舟云学术

A Chaotic System with Different Families of Hidden Attractors

Published:2016-07 Issue:08 Volume:26 Page:1650139
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Pham Viet-Thanh¹,Volos Christos²,Jafari Sajad³,Vaidyanathan Sundarapandian⁴,Kapitaniak Tomasz⁵,Wang Xiong⁶

Affiliation:

1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

2. Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR–54124, Greece

3. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran

4. Research and Development Centre, Vel Tech University, Avadi, Chennai 600062, India

5. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland

6. Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, P. R. China

Abstract

The presence of hidden attractors in dynamical systems has received considerable attention recently both in theory and applications. A novel three-dimensional autonomous chaotic system with hidden attractors is introduced in this paper. It is exciting that this chaotic system can exhibit two different families of hidden attractors: hidden attractors with an infinite number of equilibrium points and hidden attractors without equilibrium. Dynamical behaviors of such system are discovered through mathematical analysis, numerical simulations and circuit implementation.

Funder

Polish National Science Centre, MAESTRO Programme

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741650139X

Reference37 articles.

1. YET ANOTHER CHAOTIC ATTRACTOR

2. Chua's Circuit Implementations

3. Simple chaotic flows with a line equilibrium

4. Elementary quadratic chaotic flows with no equilibria

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