Abstract
A State Controlled-Cellular Neural Network (SC-CNN) based chaotic model for generating multi-scroll attractors via hyperbolic tangent function series is proposed in this paper. After presenting the double scroll generation, the presented SC-CNN system is used in multi-scroll chaotic attractor generation by adding hyperbolic tangent function series. By using equilibrium analysis and their stability such as Lyapunov exponent analysis, bifurcation diagrams and Poincaré map, the dynamical behaviors of the proposed system are theoretically analyzed and numerically investigated.
Highlights
It has been accepted that chaos can be quite useful in some engineering and technological applications
Cardiac action potential models demonstrate that memory can cause dynamical instabilities which result in complex excitation dynamics and chaos [1]
In addition to piecewise linear (PWL) approach, the trigonometric function was presented by Günay and Kılıç as an alternative way of generating multi-scroll attractors in State Controlled-Cellular Neural Network (SC-Cellular Neural Network (CNN)) [34]
Summary
It has been accepted that chaos can be quite useful in some engineering and technological applications. The work on generating multi-scroll attractors has always grab researchers’ attention and has gradually become a new research field The functions such as piecewise linear (PWL), sawtooth, step wave, hysteresis series, switching, sine, saturated sequence and hyperbolic tangent have been proposed for generating a different type of multi-scroll chaotic attractors so far. In addition to PWL approach, the trigonometric function was presented by Günay and Kılıç as an alternative way of generating multi-scroll attractors in SC-CNN [34]. A novel methodfor multi-scroll chaotic attractor generation in SC-CNN is presented based on hyperbolic tangent function. The dynamical mechanisms of multi-scroll chaos generations based on the corresponding model are theoretically analyzed and numerically investigated including one, two, and three directional multi-scroll chaotic attractors. Discussions, suggestions, and potential future work plans are presented in the Conclusions Section
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