By Recai Kilic
Self sustaining and nonautonomous Chua's circuits are of detailed importance within the examine of chaotic method modeling, chaos-based technology and engineering functions. in view that and software-based layout and implementation ways could be utilized to Chua's circuits, those circuits also are first-class educative types for learning and experimenting nonlinear dynamics and chaos. This e-book 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 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 info for A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a)
Hence, in this subsection we implement this Hybrid-II realization of Chua’s circuit [60–61]. As a sample experimental study on Chua’s circuit, the experimental implementation of a CFOA-based Chua’s circuit was constructed by combining a CFOA-based Chua’s diode and CFOA-based synthetic inductor. After confirming the proposed circuit’s chaotic behavior by computer simulations in the previous subsections, in order to verify the circuit’s operation experimentally for different frequency ranges, especially at high frequencies in which CFOA has excellent performance, we constructed a Hybrid-II realization of Chua’s circuit shown in Fig.
It can also be constructed by state-space block with appropriate parameter settings. NR1 defined by Eq. 1 is a three-segment piecewise-linear function, and it is constructed by using gain blocks, absolute blocks, adding and constant blocks. The simulation results can be monitored as time/frequencydomain response and X-Y phase portrait illustrations in SIMULINK. In addition to obtaining the simulation results including double-scroll attractors and time domain chaotic response, it is also possible to obtain the dc characteristic of each nonlinear function block.
5 u A standard 4007 inverter IC package can be used for practical realization of the four-transistor Chua’s diode. Chua’s oscillator can be easily implemented by using this Chua’s diode, and the resulting Chua’s oscillator can operate in the MHz frequency range. , an inductance simulator, instead of inductor element, and by using RC configurations instead of the LC resonator in Chua’s circuit. Inductorless realizations of Chua’s circuit using OTA-based inductance simulators have been reported [29, 122].
A Practical Guide for Studying Chua's Circuits (Nonlinear Science, Series a) (World Scientific Series on Nonlinear Science: Series a) by Recai Kilic