0
research-article

A Time-delayed Hyper-chaotic System Composed of Multi-scroll Attractors with Multiple Positive Lyapunov Exponents

[+] Author and Article Information
Yue Wang

College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
yuewang@hnu.edu.cn

Chunhua Wang

College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
wch1227164@hnu.edu.cn

Ling Zhou

College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
zhouling0340@163.com

1Corresponding author.

ASME doi:10.1115/1.4036831 History: Received February 27, 2017; Revised May 10, 2017

Abstract

The paper proposes a time-delayed hyper-chaotic system composed of multi-scroll attractors with multiple positive Lyapunov exponents (LEs), which is described by a three-order nonlinear retarded type delay differential equation. The dynamical characteristics of the time-delayed system are far more complicated than those of the original system without time delay. The three-order time-delayed system not only generates hyper-chaotic attractors with multi-scroll but also has multiple positive LEs. We observe that the number of positive LEs increases with increasing time delay. Through numerical simulations, the time-delayed system exhibits a larger number of scrolls than the original system without time delay. Moreover, different numbers of scrolls with variable delay and coexistence of multiple attractors with a variable number of scrolls are also observed in the time-delayed system. Finally, we set up electronic circuit of the proposed system, and make Pspice simulations to it. The Pspice simulation results agree well with the numerical results.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In