Dynamical Behaviors of Fractional-Order Complex Dynamical Networks

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Dynamical Behaviors of Fractional-Order Complex Dynamical Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamical Behaviors of Fractional-Order Complex Dynamical Networks write by Jin-Liang Wang. This book was released on . Dynamical Behaviors of Fractional-Order Complex Dynamical Networks available in PDF, EPUB and Kindle.

Dynamical Behaviors of Fractional-order Complex Dynamical Networks

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Release : 2024-07-16
Genre : Mathematics
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Book Rating : 494/5 ( reviews)

Dynamical Behaviors of Fractional-order Complex Dynamical Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamical Behaviors of Fractional-order Complex Dynamical Networks write by Jin-Liang Wang. This book was released on 2024-07-16. Dynamical Behaviors of Fractional-order Complex Dynamical Networks available in PDF, EPUB and Kindle. This book benefits researchers, engineers, and graduate students in the field of fractional-order complex dynamical networks. Recently, the dynamical behaviors (e.g., passivity, finite-time passivity, synchronization, and finite-time synchronization, etc.) for fractional-order complex networks (FOCNs) have attracted considerable research attention in a wide range of fields, and a variety of valuable results have been reported. In particular, passivity has been extensively used to address the synchronization of FOCNs.

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

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Release : 2019-05-03
Genre : Technology & Engineering
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Book Rating : 981/5 ( reviews)

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors write by Christos Volos. This book was released on 2019-05-03. Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors available in PDF, EPUB and Kindle. In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Fractional Order Systems

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Release : 2019-10-29
Genre : Mathematics
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Book Rating : 082/5 ( reviews)

Fractional Order Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Order Systems write by Ivo Petráš. This book was released on 2019-10-29. Fractional Order Systems available in PDF, EPUB and Kindle. This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems. This Special Issue explores applications of such systems to control, synchronization, and various mathematical models, as for instance, MRI, long memory process, diffusion.

Dynamical Systems

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Release : 2018-10-09
Genre : Science
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Book Rating : 472/5 ( reviews)

Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamical Systems write by José A. Tenreiro Machado. This book was released on 2018-10-09. Dynamical Systems available in PDF, EPUB and Kindle. Printed Edition of the Special Issue Published in Entropy