https://doi.org/10.1140/epjst/e2015-02485-8
Regular Article
Synchronization and circuit design of a chaotic system with coexisting hidden attractors
1 College of Applied Sciences Nizwa, Ministry of Higher Education, Nizwa, Sultanate of Oman
2 School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
3 Physics Department, Faculty of Science, PO Box 741, University of Tabuk, 71491 Tabuk, Saudi Arabia
4 Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
a e-mail: sajadjafari@aut.ac.ir
Received: 20 April 2015
Revised: 20 May 2015
Published online: 27 July 2015
This paper investigates an unusual example of a three- dimensional dissipative chaotic flow with quadratic nonlinearites in which there is no equilibrium. This system belongs to a newly introduced category of chaotic systems: systems with hidden attractors which have important and potentially problematic engineering consequences. It is more interesting when we show there are coexisting hidden attractors for some range of parameters. We investigate this system through some analysis, circuit design and finally we use it as a benchmark for synchronization using a Robust Adaptive Sliding Mode Control (RASMC). This synchronization is performed through a nonlinear controller based on Lyapunov Stability Theory to stabilize the error dynamics.
© EDP Sciences, Springer-Verlag, 2015
