By Recai Kilic
Independent and nonautonomous Chua's circuits are of distinct value within the examine of chaotic approach modeling, chaos-based technological know-how and engineering functions. seeing that and software-based layout and implementation methods may be utilized to Chua's circuits, those circuits also are very good educative types for learning and experimenting nonlinear dynamics and chaos. This e-book 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 working towards 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 resources for A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a)
Dynamic systems can be analyzed as continuous or discrete time systems in SIMULINK. Chaotic systems can be analyzed as continuous time systems which model several alternative building blocks such as the transfer functions, integration blocks and state-space blocks shown in Fig. 3. A Practical Guide for Studying Chua’s Circuits 45 (a) (b) (c) (d) Fig. 5(a − b)( x + c − x − c ) , (b) f ( x) =h1 x − h2 x 3 , (c) f ( x) = k1 x + k2 x 3 , and (d) f ( x) = d1 x + d 2 x x nonlinear functions. 46 Numerical Simulation and Modeling of Chua’s Circuit Fig.
17. R1 AD844 C C L AD844 C3 R2 C iL AD844 (a) AD844 AD844 L R1 C R2 C C3 (b) Fig. 17 CFOA-based synthetic inductor structures. 14) Leq = C3 R1 R2 In the literature, an alternative inductance simulator topology based on an FTFN has been introduced for inductorless realization of Chua’s circuit and other chaotic oscillators that contains both grounded and floating inductor elements . The FTFN-based inductance simulator, shown in Fig. 18, allows one to simulate not only a grounded inductor but also a floating inductor.
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