By Ahmad Taher Azar
The e-book stories at the most up-to-date advances in and purposes of chaos conception and clever keep watch over. Written through eminent scientists and lively researchers and utilizing a transparent, matter-of-fact variety, it covers complicated theories, equipment, and functions in various examine parts, and explains key innovations in modeling, research, and keep an eye on of chaotic and hyperchaotic platforms. subject matters comprise fractional chaotic structures, chaos keep watch over, chaos synchronization, memristors, jerk circuits, chaotic structures with hidden attractors, mechanical and organic chaos, and circuit cognizance of chaotic structures. The publication additional 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 suggestions constructed through clever keep watch over. The ebook is a well timed and entire reference consultant for graduate scholars, researchers, and practitioners within the parts of chaos concept and clever control.
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Additional info for Advances in Chaos Theory and Intelligent Control
Bo-Cheng B, Jian-Ping X, Gua-Hua Z, Zheng-Hua M, Ling Z (2011) Chaotic memristive circuit: equivalent circuit realization and dynamical analysis. Chin Phys B 20(12):1–6 10. Bo-Cheng B, Fei F, Wei D, Sai-Hu P (2013) The voltage-current relationship and equivalent circuit implementation of parallel flux-controlled memristive circuits. Chin Phys B 22(6):1–6 11. Bonchev DD, Rouvray D (2005) Complexity in chemistry, biology, and ecology, mathematical and computational chemistry. Springer, USA 12. Buscarino Fortuna L, Frasca M, Gambuzza LV, Sciuto G (2012) Memristive chaotic circuits based on cellular nonlinear network.
Fig. 5 V/div, Y: 1 V/div) 6 Conclusion In this work, a novel method for designing nonlinear resistors of type-N, consisting of a memristor emulator circuit in parallel with a negative resistor, was presented. The chosen memristor emulator has been built with second-generation current conveyors (CCII) and passive elements and its pinched hysteresis loop is holding up to 20 kHz. The fact, that the proposed memristor emulator circuit is simpler than other topologies as well as it works in higher frequencies that the other emulator circuits reported in literature, makes the proposed nonlinear element a suitable candidate for use in real-world applications.
22) From (18), (20), and (22) we have V˙ (t) = −k x ex2 − ea e y (x1 W (ϕ1 ) + x2 W (ϕ2 )) + A˙ −eb 2e y + B˙ − k y e2y − k z ez2 − kϕ eϕ2 . (23) Then by applying the parameter update law (16), Eq. (23) become V˙ (t) = −k x ex2 − k y e2y − k z ez2 − kϕ eϕ2 . (24) Obviously, derivative of the Lyapunov function is definite negative. According to the Lyapunov stability [79, 80] we obtain ex (t) → 0, e y (t) → 0, ez (t) → 0, eϕ (t) → 0, ea (t) → 0, eb (t) → 0 exponentially when t → 0 that is, anti-synchronization between master and slave system.