Multi scroll chaotic attractor producing and synchronous method thereof based on hyperbolic tangent function

Abstract

At the basis of a jerk chaotic system, the invention provides a simplest and novel method which adopts hyperbolic tangent function. By switching a system, the multi scroll chaotic attractor producing and synchronous method thereof based on hyperbolic tangent function can produce the chaotic system with one dimension (1-D-), two dimensions (2-D-) and three dimensions (3-D-), by setting different parameters, the chaotic attractor producing and synchronous method thereof based on the hyperbolic tangent function can further produce a multi scroll chaotic attractor with different quantities, and then regards the chaotic system as a driving system, and realizes self-adaptive synchronous control of the multi scroll chaotic system. The controller designed by the multi scroll chaotic attractor producing and synchronous method thereof based on the hyperbolic tangent function has the advantages of being simple, easy to achieve, capable of extracting measuring signals with high quality, effectively overcoming the self-adaptive synchronous problem of the multi scroll chaotic system, and having certain application value for communication system tools.

Description

technical field [0001] The invention relates to a generation and synchronization method of multi-scroll chaotic attractors based on a hyperbolic tangent function, which is suitable for the field of control and secure communication. Background technique [0002] In the early 1990s, based on the normalized state equation of the Chua circuit, Suykens and Vandewalle discovered multi-scroll chaotic attractors by increasing the turning point of the nonlinear function curve. Compared with traditional single-scroll and double-scroll chaotic systems, multi-scroll or multi-wing chaotic systems present a more complex attractor topology, and have broad application prospects in the fields of electronics, communication, and system control. Therefore, the theoretical analysis of multi-scroll chaotic system and the corresponding circuit realization become a hot spot in chaos research. Chaos synchronization has a very broad application prospect in secure communication, signal processing and...

AI Technical Summary

Problems solved by technology

Therefore, the theoretical analysis of multi-scroll chaotic system and the corresponding circuit realization become a hot spot in chaos research. Chaos synchronization has a very broad application prospect in secure communication, signal processing and life sciences. In recent years, many methods of chaos synchronization have been proposed, such as adaptive control, active control method, backstepping method, linear control method, etc. However, there are few reports on the adaptive synchronization control of multi-scroll chaotic systems

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