<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper investigates the hybrid chaos synchronization of identical Wang four-scroll systems (Wang, 2009), identical Liu-Chen four-scroll systems (Liu and Chen, 2004) and non-identical Wang and Liu-Chen four-scroll systems. Active control method is the method adopted to achieve the hybrid chaos synchronization of the four-scroll chaotic systems addressed in this paper and our synchronization results are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active control method is effective and convenient to hybrid synchronize identical and different Wang and Liu-Chen four-scroll chaotic systems. Numerical simulations are also shown to illustrate and validate the hybrid synchronization results derived in this paper.</p></abstract>

This paper investigates the hybrid chaos synchronization of identical Wang four-scroll systems (Wang, 2009), identical Liu-Chen four-scroll systems (Liu and Chen, 2004) and non-identical Wang and Liu-Chen four-scroll systems. Active control method is the method adopted to achieve the hybrid chaos synchronization of the four-scroll chaotic systems addressed in this paper and our synchronization results are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active control method is effective and convenient to hybrid synchronize identical and different Wang and Liu-Chen four-scroll chaotic systems. Numerical simulations are also shown to illustrate and validate the hybrid synchronization results derived in this paper.

Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control

Department of ECE, Velammal Institute of Technology, Panchetti, Tiruvalluvar District, India

Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, India

Journal of Electrical Engineering

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"Hybrid Chaos Synchronization of Four\u2013Scroll Systems via Active Control"}

This paper investigates the hybrid chaos synchronization of identical Wang four-scroll systems (Wang, 2009), identical Liu-Chen four-scroll systems (Liu and...

Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control

Published Online: Apr 23, 2014

Page range: 97 - 103

DOI: https://doi.org/10.2478/jee-2014-0014

Keywords
active control, chaos, chaotic systems, four-scroll systems, Wang system, Liu-Chen system

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control

Published Online: Apr 23, 2014

Page range: 97 - 103

DOI: https://doi.org/10.2478/jee-2014-0014

Keywordsactive control, chaos, chaotic systems, four-scroll systems, Wang system, Liu-Chen system

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords
active control, chaos, chaotic systems, four-scroll systems, Wang system, Liu-Chen system