By Recai Kilic
Self sustaining and nonautonomous Chua's circuits are of designated importance within the learn of chaotic procedure modeling, chaos-based technology and engineering functions. in view that and software-based layout and implementation ways might be utilized to Chua's circuits, those circuits also are very good educative types for learning and experimenting nonlinear dynamics and chaos. This publication not just offers a suite of the author's released papers on layout, simulation and implementation of Chua's circuits, it additionally offers a scientific method of practicing chaotic dynamics.
Read Online or Download A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a) PDF
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Additional info for A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a)
After discussing numerical simulation methods via code-based programming, we also introduce a generalized Chua’s circuit model created in the SIMULINK environment. 40 A Practical Guide for Studying Chua’s Circuits 41 Fig. 1 Generalized Chua’s circuit model with multiple nonlinear functions. This generalized model consists of a main Chua’s circuit’s block coupled with multiple nonlinear functions via a switching mechanism. This model allows easy investigation of the roles and effects of different nonlinear functions in Chua’s circuit under a unique model.
3 Some building blocks representing continuous time dynamic systems. In this section, a generalized SIMULINK model of Chua’s circuit is given and the usage of SIMULINK blocks for constructing Chua’s circuit with different nonlinear functions is shown. A SIMULINK model for Chua’s circuit with the piecewise-linear nonlinear function is shown in Fig. 4. Fig. 4 SIMULINK model of Chua’s circuit with piecewise-linear nonlinear function defined by Eq. 1. A Practical Guide for Studying Chua’s Circuits 47 As shown in the figure, system state-variables x, y and z are represented at the output of INTEGRATOR blocks.
10, respectively. (a) (b) Fig. 8 SIMULINK simulation results of Chua’s circuit model in Fig. 7(a) showing chaotic dynamics, chaotic attractor and dc characteristic of nonlinear function block. A Practical Guide for Studying Chua’s Circuits 51 (a) (b) Fig. 9 SIMULINK simulation results of Chua’s circuit model in Fig. 7(b) showing chaotic dynamics, chaotic attractor and dc characteristic of nonlinear function block.
A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a) by Recai Kilic