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By Ahmad Taher Azar
The publication studies at the newest advances in and purposes of chaos conception and clever regulate. Written by way of eminent scientists and energetic researchers and utilizing a transparent, matter-of-fact kind, it covers complex theories, tools, and functions in numerous examine components, and explains key thoughts in modeling, research, and regulate of chaotic and hyperchaotic structures. issues contain fractional chaotic platforms, chaos keep an eye on, chaos synchronization, memristors, jerk circuits, chaotic platforms with hidden attractors, mechanical and organic chaos, and circuit cognizance of chaotic structures. The ebook extra covers fuzzy good judgment controllers, evolutionary algorithms, swarm intelligence, and petri nets between different subject matters. not just does it give you the readers with chaos basics and clever control-based algorithms; it additionally discusses key functions of chaos in addition to multidisciplinary strategies built through clever keep an eye on. The publication is a well timed and complete reference advisor for graduate scholars, researchers, and practitioners within the components of chaos idea and clever control.
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Extra info for Advances in Chaos Theory and Intelligent Control
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5 V/div, Y: 1 V/div) Fig. 5 V/div, Y: 1 V/div) A Novel Design Approach of a Nonlinear Resistor … 29 Fig. 5 V/div, Y: 1 V/div) Fig. 5 V/div, Y: 1 V/div) 29, 30, 31, 32 and 33. Also, the nonlinear element with the memristor emulator is designed with the procedure and with elements values as described in Sect. 4. From the comparison of the phase portraits of Figs. 26, 27, 28, 29, 30, 31, 32 and 33 with that of Figs. 18, 19, 20, 21, 22, 23, 24 and 25, a good agreement between the circuit’s behavior obtained form numerical simulation and Multisim can be concluded.
Elwakil A, Fouda M, Radwan A (2013) A simple model of double-loop hysteresis behavior in memristive elements. IEEE Trans Circuits Syst II: Exp Briefs 60:487–491 25. Eve RA, Horsfall S, Lee M (1997) Chaos, complexity, and sociology: myths, models, and theories. Sage Publications 26. Fortuna L, Arena P, Balya D, Zarandy A (2001) Cellular neural networks: a paradigm for nonlinear spatio-temporal processing. K. Volos et al. 27. Goras L, Chua LO, Leenaerts DM (1995) Turing patterns in CNNs—part I: once over lightly.
14, 15, 16 and 17 the rich dynamics behavior of the proposed circuit with the proposed nonlinear resistor has been confirmed. Periodic and chaotic regions are alternated and interesting phenomena related with the nonlinear theory such as the intermittency, period doubling route to chaos and hysteresis in period-3 window are observed. In Figs. 5 kHz) for different values of its amplitude V0 are displayed. 25 V, around the one of systems equilibria (Fig. 00 V, through regions of other periodic or chaotic systems behavior.