Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium-Reference-Cited by-同舟云学术

Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium

Published:2017-08 Issue:09 Volume:27 Page:1750138
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Pham Viet-Thanh¹²,Jafari Sajad³,Volos Christos⁴,Kapitaniak Tomasz²

Affiliation:

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

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

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

4. Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece

Abstract

A new chaotic system having variable equilibrium is introduced in this paper. The presence of an infinite number of equilibrium points, a stable equilibrium, and no-equilibrium is observed in the system. Interestingly, this system is classified as a rare system with hidden attractors from the view point of computation. Complex dynamical behavior and a circuital implementation of the new system have been investigated in our work.

Funder

Polish National Science Centre

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417501383

Reference50 articles.

1. Design and analysis of a first order time-delayed chaotic system

2. Rare and hidden attractors in Van der Pol-Duffing oscillators

3. A new Lorenz-type hyperchaotic system with a curve of equilibria