By Recai Kilic
Self sufficient and nonautonomous Chua's circuits are of exact value within the examine of chaotic approach modeling, chaos-based technological know-how and engineering purposes. considering and software-based layout and implementation methods might be utilized to Chua's circuits, those circuits also are first-class educative versions 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 offers a scientific method of training 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 resources for A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a)
Although the FTFN-based inductance simulator structure is shown in floating inductor form in Fig. 18, this simulator may also be used as a grounded inductor by connecting one port of the floating inductance to ground. 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.
26 shows the Hybrid-IV realization of Chua’s circuit using two AD844-type CFOAs biased with ±9 V, four resistors to nonlinear resistor, two FTFN blocks, four resistors, and a capacitor to implement an inductance simulator with L = 18 mH. In this realization, the nonlinear resistor structure of Hybrid-III is replaced with a CFOA-based nonlinear resistor circuit. This reduces the component count, and the 26 A Practical Guide for Studying Chua’s Circuits chaotic spectrum can be extended to higher frequencies.
An additional drawback is that the op amp–based inductor simulator can only be used for grounded inductance as in Chua’s circuit. For simulating a floating inductance in any chaotic circuit, alternative topologies should be used. In the literature, some CFOA-based synthetic inductor structures have been used for inductorless realizations of Chua’s circuit [74, 128]. These synthetic inductor structures are shown in Fig. 17. R1 AD844 C C L AD844 C3 R2 C iL AD844 (a) AD844 AD844 L R1 C R2 C C3 (b) Fig.