A New Megastable Oscillator with Rational and Irrational Parameters-Reference-Cited by-同舟云学术

A New Megastable Oscillator with Rational and Irrational Parameters

Published:2019-12-10 Issue:13 Volume:29 Page:1950176
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Wang Zhen¹,Hamarash Ibrahim Ismael²,Shabestari Payam Sadeghi³,Jafari Sajad⁴^ORCID

Affiliation:

1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, P. R. China

2. Department of Computer Science and Engineering, University of Kurdistan-Hewler, Iraq

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

4. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Abstract

In this paper, a new two-dimensional nonlinear oscillator with an unusual sequence of rational and irrational parameters is introduced. This oscillator has endless coexisting limit cycles, which make it a megastable dynamical system. By periodically forcing this system, a new system is designed which is capable of exhibiting an infinite number of coexisting asymmetric torus and strange attractors. This system is implemented by an analog circuit, and its Hamiltonian energy is calculated.

Funder

Natural Science Foundation of China

Natural Science Basic Research Plan in Shaanxi Province of China

Natural Science Basic Research Plan in Shandong Province 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/S0218127419501761

Reference69 articles.

1. Design of multiwing-multiscroll grid compound chaotic system and its circuit implementation