By Sundarapandian Vaidyanathan, Christos Volos
This publication studies at the most up-to-date advances and purposes of chaotic structures. It contains 25 contributed chapters by way of specialists who're really good within the numerous themes addressed during this e-book. The chapters disguise a extensive variety of subject matters of chaotic structures equivalent to chaos, hyperchaos, jerk platforms, hyperjerk platforms, conservative and dissipative structures, circulant chaotic structures, multi-scroll chaotic platforms, finance chaotic method, hugely chaotic structures, chaos keep watch over, chaos synchronization, circuit cognizance and purposes of chaos idea in safe communications, cellular robotic, memristors, mobile neural networks, and so forth. detailed significance was once given to chapters supplying functional suggestions, modeling and novel keep an eye on tools for the hot examine difficulties in chaos theory.
This ebook will function a reference booklet for graduate scholars and researchers with a simple wisdom of chaos conception and keep watch over structures. The ensuing layout systems at the chaotic platforms are emphasised utilizing MATLAB software.
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Extra resources for Advances and Applications in Chaotic Systems
55 Hyperchaotic attractor of the designed master circuit obtained from Cadence OrCAD in the (x2 , x4 ) phase plane Fig. K. Volos et al. Next, the design of the coupling circuit as well as the simulation results obtained from SPICE in the case of α = β is discussed in details. In the case of α = β = 1 and by considering the achievement of synchronization between the coupled systems (12) and (13), the NOLCs take the following forms. ⎧ UY 1 ⎪ ⎪ ⎨ UY 2 UY 3 ⎪ ⎪ ⎩ UY 4 = −e2 = − (e2 + e4 ) = −e3 = − (e4 − de2 ) (19) The units from which the coupling circuit is consisted, are shown in the schematic of Fig.
17) 2 2 0 0 x3 Fig. 06, x2 (0) = 10−6 , x3 (0) = 0, and x4 (0) = 0. Here the initial condition of the input of the memristive device x2 (0) should be tiny to guarantee an appropriate value of the internal state variable of the memristive device. Figures 2, 3 and 4 illustrate the 2-D projections and 3-D projections of the new memristive system (13). −2 −2 −2 0 2 −2 0 x1 2 x4 x3 2 0 0 −2 −2 −2 0 −2 2 0 2 x1 x2 2 3 1 x Fig. 3 Strange attractor of the novel chaotic hyperjerk system (13) in (x1 , x2 , x3 )-space 2 x1 0 −1 −2 2 4 0 x2 2 0 −2 −2 x1 A Chaotic Hyperjerk System Based on Memristive Device Fig.
Chaos 21:013110 45. Parlitz U, Junge L, Lauterborn W, Kocarev L (1996) Experimental observation of phase synchronization. Phys Rev E 54:2115–2217 46. Pham V-T, Volos ChK, Jafari S, Wang X, Vaidyanathan S (2014) Hidden hyperchaotic attractor in a novel simple memristive neural network. J Optoelectron Adv Mater Rapid Commun 8(11–12):1157–1163 47. Pham V-T, Jafari S, Volos ChK, Wang X, Golpayegani Mohammad Reza Hashemi S (2014) Is that really hidden? The presence of complex fixed-points in chaotic flows with no equilibria.
Advances and Applications in Chaotic Systems by Sundarapandian Vaidyanathan, Christos Volos