Download e-book for kindle: Cellular Neural Networks, Multi-Scroll Chaos And by Johan A K Suykens, Joos P L Vandewalle, Mustak E Yalcin

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By Johan A K Suykens, Joos P L Vandewalle, Mustak E Yalcin

ISBN-10: 9812561617

ISBN-13: 9789812561619

ISBN-10: 9812567747

ISBN-13: 9789812567741

For engineering purposes which are in line with nonlinear phenomena, novel info processing structures require new methodologies and layout rules. this angle is the foundation of the 3 cornerstones of this booklet: mobile neural networks, chaos and synchronization. mobile neural networks and their common computer implementations provide a well-established platform for processing spatial-temporal styles and wave computing. Multi-scroll circuits are generalizations to the unique Chua's circuit, resulting in chip implementable circuits with more and more advanced attractors. numerous purposes utilize synchronization strategies for nonlinear structures. a scientific evaluate is given for Lur'e representable structures with worldwide synchronization standards for master-slave and mutual synchronization, strong synchronization, H synchronization, time-delayed platforms and impulsive synchronization.

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Additional info for Cellular Neural Networks, Multi-Scroll Chaos And Synchronization (World Scientific Series on Nonlinear Science)

Example text

After this stage of chaos confirmations both by computer simulation and circuit implementations, Chua et al. [45] also gave a rigorous proof of the existence of chaotic behavior for Chua's circuit. In 1990, Chua and Lin [46] introduced a canonical circuit (by adding a linear resistor in series with an inductor) which is canonical in the sense that every continuous three-dimensional odd-symmetric piecewise-linear vector field may be mapped onto the circuit. This circuit has been called Chua's oscillator (see [170]).

CNNs have become a new paradigm [47]. The CNN paradigm has provided an ideal framework for programmable analog array computing. It means that the CNN can be used as a programmable device where the instructions are represented by the templates. This was the key idea in proposing the CNN universal machine (CNN-UM) which is the first algorithmically programmable analog array computer [215]. Another aspect which distinguishes the CNN-UM from a conventional digital computer is the dual computing capability.

1): 9NR(vCl) = GbvCl + \{Ga - Gb) (\vCl +E\- \vCl - E\). 2) One can reduce the number of parameters by normalizing the nonlinear resistor in such a way that the breakpoints are located at ±1V instead of ±E V. 3) Multi-Scroll Chaotic Attractors 47 where f(x) = mix + - ( m 0 - mi) (\x + 1| - \x - 1|). 1). It is called Chua 's equation and is described by the following set of four parameters {a,/3,mo,mi} [177]. 5) with fc0 = — f andfci= ^ as shown in [177]. The rich dynamical behavior of Chua's circuit was first shown by computer simulation [176].

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Cellular Neural Networks, Multi-Scroll Chaos And Synchronization (World Scientific Series on Nonlinear Science) by Johan A K Suykens, Joos P L Vandewalle, Mustak E Yalcin


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