By Recai Kilic
Independent and nonautonomous Chua's circuits are of certain value within the research of chaotic process modeling, chaos-based technology and engineering purposes. due to the fact that and software-based layout and implementation techniques may be utilized to Chua's circuits, those circuits also are very good educative types for learning and experimenting nonlinear dynamics and chaos. This ebook not just offers a suite of the author's released papers on layout, simulation and implementation of Chua's circuits, it additionally presents 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)
In addition to OTA-based realizations, op amp–based inductance simulator structures can be used in designing inductorless Chua’s circuits and other chaotic circuits . Such an op amp–based inductance simulator design is shown in Fig. 16. AD712 L R1 R2 R3 C3 AD712 Fig. 16 Op amp–based inductance simulator. 13) Due to the nonidealities of the op amps, this approach has a limited frequency range. Therefore, in experimental studies with such op amp– based inductance simulators, the nonidealities and parasitics should be taken into consideration when considering the inductor.
6 SIMULINK simulation results of Chua’s circuit model in Fig. 4 showing chaotic dynamics, chaotic attractor and dc characteristic of nonlinear function block. A Practical Guide for Studying Chua’s Circuits 49 (a) (b) (c) Fig. 7 SIMULINK models of Chua’s circuit using (a) trigonometric nonlinear function, (b) cubic-like nonlinear function and (c) piecewise-quadratic nonlinear function. 50 Numerical Simulation and Modeling of Chua’s Circuit As shown in models, the nonlinear functions including trigonometric, cubic-like and piecewise-quadratic functions used in these models have been constructed by using different SIMULINK blocks.
The parameters of the RC configuration are determined as R1 = 100 Ω, R2 = 100 Ω, R3 = 200 Ω, R4 = 100 Ω, and C2 = C3 = 220 nF. 2 nF, and R = 1525 Ω such that the circuit exhibits a 28 A Practical Guide for Studying Chua’s Circuits double-scroll attractor behavior. The simulation results for this realization are shown in Fig. 31. (a) (b) Fig. 29 (a) Simulations of chaotic circuit dynamics VC1(t), VC2(t) and iLoad(t) current output with a 5k load of Hybrid-V realization, (b) The double-scroll attractor , projection in the (VC2 -VC1) plane.
A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a) by Recai Kilic