https://doi.org/10.1140/epjst/e2016-02616-9
Regular Article
Complexity and synchronization in stochastic chaotic systems
1 School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
2 Basic Sciences and Humanities Department, Calcutta Institute of Engineering and Management, Kolkata, India
3 Department of Mathematics, Sivanath Sastri College, Kolkata, India
4 Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia
a e-mail: santoban@gmail.com
Received: 25 September 2015
Revised: 11 January 2016
Published online: 29 February 2016
We investigate the complexity of a hyperchaotic dynamical system perturbed by noise and various nonlinear speech and music signals. The complexity is measured by the weighted recurrence entropy of the hyperchaotic and stochastic systems. The synchronization phenomenon between two stochastic systems with complex coupling is also investigated. These criteria are tested on chaotic and perturbed systems by mean conditional recurrence and normalized synchronization error. Numerical results including surface plots, normalized synchronization errors, complexity variations etc show the effectiveness of the proposed analysis.
© EDP Sciences, Springer-Verlag, 2016
