A family of n-scroll hyperchaotic attractors and their realization
نویسندگان
چکیده
A systematic circuit design approach is proposed for experimental verification of hyperchaotic 2-, 3-, 4-scroll attractors from a generalized Matsumoto–Chua–Kobayashi (MCK) circuit. Moreover, using appropriate discrete and extended transformations, a novel digital signal processor (DSP) method is also presented for physically realizing the above hyperchaotic 2-, 3-, 4-scroll attractors. This is the first time in the literature to report the experimental verification of hyperchaotic 3and 4-scroll attractors. Some recursive formulas of system parameters are rigorously derived, useful for improving circuit implementation. © 2006 Elsevier B.V. All rights reserved. PACS: 05.45.Ac; 05.45.Gg
منابع مشابه
Adomian decomposition method as a tool for numerical studying multi-scroll hyperchaotic attractors
This paper deals with the numerical study of multi-scroll hyperchaotic attractors via the Adomian decomposition method. This objective is achieved by exploiting Hermite interpolating polynomials as nonlinearities in coupled Chua’s circuits. Several examples of generation of multi-scroll attractors highlight the capabilities of the proposed technique.
متن کاملMulti-scroll Chaotic and hyperchaotic attractors Generated from Chen System
In this paper, we create a multi-scroll chaotic attractor from Chen system by a nonlinear feedback control. The dynamic behavior of the new chaotic attractor is analyzed. Specially, the Lyapunov spectrum and Lyapunov dimension are calculated and the bifurcation diagram is sketched. Furthermore, via changing the value of the control parameters, we can increase the number of equilibrium points an...
متن کاملDynamics of Hyperchaotic Coupled Chua Circuits: Generation of new NxM-Scroll Attractors
In this paper the attention is focused on the generation of new hyperchaotic attractors from coupled Chua circuits. By exploiting sine functions as nonlinearities, the proposed technique enables nxm-scroll attractors to be obtained. In particular, it is shown that nxm-scroll dynamics can be easily designed by modifying four parameters, which characterize the circuit nonlinearities. Finally, som...
متن کاملControlling Hyperchaotic n×m-Scroll Attractors
Over the past decade, the fundamental issue of generating complex attractors has raised a lot of interests. One of the major classes of complex attractors is the socalled hyperchaos, which has more than one positive Lyapunov exponent, meaning that the dynamics of such a system expand in more than one direction therefore a more complex attractor can be obtained. Due to its great potential in tec...
متن کاملBirth of double-double scroll attractor in coupled Chua circuits
We discuss the creation of hyperchaotic attractors in a system of two coupled Chua circuits. Both mutual and unidirectional couplings are considered. Results from chaos synchronization theory allow us to determine chaos-hyperchaos intermittency.
متن کامل