By Recai Kilic
Self sustaining and nonautonomous Chua's circuits are of distinctive value within the research of chaotic process modeling, chaos-based technology and engineering purposes. considering and software-based layout and implementation methods may be utilized to Chua's circuits, those circuits also are first-class educative types for learning and experimenting nonlinear dynamics and chaos. This publication not just provides a set of the author's released papers on layout, simulation and implementation of Chua's circuits, it additionally presents a scientific method of training chaotic dynamics.
Read 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)
F=b*x(1)+(1/2)*(a-b)*(abs(x(1)+c)-abs(x(1)-c)); % The first nonlinear function. %f=h1*x(1)-(h2*x(1)*x(1)*x(1)); % The second nonlinear function. %f=k1*x(1)+(k2*x(1)*x(1)*x(1)); % The third nonlinear function. %f=d1*x(1)+(d2*x(1)*abs(x(1))); % The fourth nonlinear function. dx(1) = alpha*(x(2)-x(1)-f); % dx(1) represents dx . dτ dx(2) = x(1)-x(2)+x(3); % dx(2) represents dy . dτ dz dx(3) = -beta*x(2); % dx(3) represents d τ . According to these numerical simulations, the circuit’s chaotic dynamics and double-scroll attractors are shown in Fig.
The nonidealities and parasitic effects of the VOA should be considered for obtaining the real value of the inductor. The simulation results of this realization are shown in Fig. 29. R + 1 65k + RN1 22k AD712 AD844 AD844 VC2 R1 R2 R3 C3 1k 1k 1k 18nF VC1 C2 100nF C C I Load C1 Vo 10nF RN2 22k R4 1k RN3 500Ω AD712 - RN4 2 2k - Fig. 28 Hybrid-V realization of Chua’s circuit. 6 Hybrid-VI realization of Chua’s circuit Fig. 30 shows a Hybrid-VI realization of Chua’s circuit using two AD844-type CFOAs biased with ±9 V, four resistors to implement nonlinear resistor, an AD712 VOA biased with ±9 V, four resistors and two capacitors to implement a Wien bridge–based RC configuration for the LC resonator in Chua’s circuit.
22 Hybrid-II realization of Chua’s circuit. 2 kΩ. And we used the same parameter values of synthetic inductor as in our Hybrid-I realization of Chua’s circuit with L = 18 mH inductance value given by Eq. 14). The rest of the parameters are chosen as C1 = 10 nF, C2 = 100 nF, and R = 1750 Ω such that the circuit exhibits a double-scroll attractor. The circuit dynamics VC1, VC2, iL and current output iLoad with a 5 kΩ load, and the double-scroll attractor obtained from PSPICE simulation experiments are shown in Fig.
A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a) by Recai Kilic