A Practical Guide for Studying Chua's Circuits (Nonlinear by Recai Kilic

By Recai Kilic

Self reliant and nonautonomous Chua's circuits are of specific importance within the examine of chaotic approach modeling, chaos-based technological know-how and engineering functions. considering the fact that and software-based layout and implementation techniques might be utilized to Chua's circuits, those circuits also are first-class educative versions for learning and experimenting nonlinear dynamics and chaos. This publication not just offers a set of the author's released papers on layout, simulation and implementation of Chua's circuits, it additionally offers a scientific method of training chaotic dynamics.

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Additional resources for A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a)

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2k Fig. 24 Hybrid-III realization of Chua’s circuit. The PSPICE simulation results are shown in Fig. 25. Due to use of a CMOS-based FTFN topology, this realization is suitable for integrated circuit implementation. The FTFN-based inductance simulator used in Autonomous Chua’s Circuit: Classical and New Design Aspects 25 this realization can also be used for simulating a floating inductance in other chaotic circuits. (a) (b) Fig. 25 (a) Simulations of chaotic circuit dynamics VC1(t) and VC2(t) of Hybrid-III realization, (b) The double-scroll attractor, projection in the (VC2–VC1) plane, in HybridIII realization.

15) Leq = 3 1 2 3 R4 C3 R2 R1 x w y FTFN-I z R3 x w y FTFN-II z L R4 Fig. 18 FTFN-based inductance simulator. In addition to using the inductance simulator for an inductorless Chua’s circuit, an alternative approach has been developed based on replacing the LC resonator of Chua’s circuit with an RC configuration. Such a realization has been proposed by Morgül [97]. In Morgül’s implementation, shown in Fig. 19, the LC resonator of Chua’s circuit was replaced by a Wien bridge–based circuit topology.

1 with the typical parametric definitions. 1 The most used nonlinear function definitions for modeling Chua’s circuit. 5) For numerical simulation of chaotic systems defined by a set of differential equations such as Chua’s circuit, different integration techniques can be used in simulation tools. In the MATLAB numerical simulations, ODE45 solver yielding a fourth-order Runge-Kutta integration solution has been used. For introducing the numerical solutions in MATLAB for Chua’s circuit defined by differential equations in Eq.

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