Dynamical Behaviors Of Fractional Order Complex Dynamical Networks

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Dynamical Behaviors Of Fractional Order Complex Dynamical Networks

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Author : Jin-Liang Wang
language : en
Publisher: Springer Nature
Release Date : 2024-06-06

Dynamical Behaviors Of Fractional Order Complex Dynamical Networks written by Jin-Liang Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Mathematics categories.

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.

Dynamical Behaviors Of Fractional Order Complex Dynamical Networks

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Author : Jin-Liang Wang
language : en
Publisher: Springer
Release Date : 2024-07-16

Dynamical Behaviors Of Fractional Order Complex Dynamical Networks written by Jin-Liang Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-16 with Mathematics categories.

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.

Dynamical Behaviors Of Multiweighted Complex Network Systems

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Author : Jin-Liang Wang
language : en
Publisher: John Wiley & Sons
Release Date : 2024-12-17

Dynamical Behaviors Of Multiweighted Complex Network Systems written by Jin-Liang Wang and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-17 with Computers categories.

Highly comprehensive resource for studying neural networks, complex networks, synchronization, passivity, and associated applications Dynamical Behaviors of Multiweighted Complex Network Systems discusses the dynamical behaviors of various multiweighted complex dynamical networks, with detailed insight on synchronization for directed and undirected complex networks (CNs) with multiple state or delayed state couplings subject to recoverable attacks, along with passivity and synchronization for coupled neural networks with multi-weights (CNNMWs) by virtue of devised proportional-integral-derivative (PID) controllers. The book also investigates finite-time synchronization (FTS) and H-infinity synchronization for two types of coupled neural networks (CNNs) and focuses on finite-time passivity (FTP) and finite-time synchronization (FTS) for complex dynamical networks with multiple state/derivative couplings based on the proportional-derivative (PD) control method. Final chapters consider finite-time output synchronization and H-infinity output synchronization problems, and multiple weighted coupled reaction-diffusion neural networks (CRDNNs) with and without coupling delays. Other topics covered in Dynamical Behaviors of Multiweighted Complex Network Systems include: Criteria of FTP for complex dynamical networks with multiple state couplings (CDNMSCs), formulated by utilizing the PD controller Finite-time passivity (FTP) concepts for the spatially and temporally systems with different dimensions of output and input FTS and finite time H-infinity synchronization problems for CDNs with multiple state/derivative couplings by utilizing state feedback control approach and selecting suitable parameter adjustment schemes Adaptive output synchronization and output synchronization of CDNs with multiple output or output derivative couplings, and other adaptive control schemes Enabling readers to understand foundational concepts and grasp the latest research, Dynamical Behaviors of Multiweighted Complex Network Systems is essential for all who study neural networks, complex networks, synchronization, passivity, and their applications.

Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors

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Author : Christos Volos
language : en
Publisher: MDPI
Release Date : 2019-05-03

Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors written by Christos Volos and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-03 with Technology & Engineering categories.

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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Author : Ivo Petráš
language : en
Publisher: MDPI
Release Date : 2019-10-29

Fractional Order Systems written by Ivo Petráš and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Mathematics categories.

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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Author : José A. Tenreiro Machado
language : en
Publisher: MDPI
Release Date : 2018-10-09

Dynamical Systems written by José A. Tenreiro Machado and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-09 with Science categories.

Printed Edition of the Special Issue Published in Entropy

Passivity Of Complex Dynamical Networks

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Author : Jin-Liang Wang
language : en
Publisher: Springer Nature
Release Date : 2020-12-12

Passivity Of Complex Dynamical Networks written by Jin-Liang Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-12 with Technology & Engineering categories.

This book intends to introduce some recent results on passivity of complex dynamical networks with single weight and multiple weights. The book collects novel research ideas and some definitions in complex dynamical networks, such as passivity, output strict passivity, input strict passivity, finite-time passivity, and multiple weights. Furthermore, the research results previously published in many flagship journals are methodically edited and presented in a unified form. The book is likely to be of interest to university researchers and graduate students in Engineering and Mathematics who wish to study the passivity of complex dynamical networks.

Mathematical Modeling Using Differential Equations And Network Theory

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Author : Ioannis Dassios
language : en
Publisher: MDPI
Release Date : 2020-06-23

Mathematical Modeling Using Differential Equations And Network Theory written by Ioannis Dassios and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-23 with Technology & Engineering categories.

This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.

Chaotic Dynamics Of Fractional Discrete Time Systems

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Author : Vignesh Dhakshinamoorthy
language : en
Publisher: CRC Press
Release Date : 2024-09-06

Chaotic Dynamics Of Fractional Discrete Time Systems written by Vignesh Dhakshinamoorthy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-06 with Mathematics categories.

The book reviews the application of discrete fractional operators in diverse fields such as biological and chemical reactions, as well as chaotic systems, demonstrating their applications in physics. The dynamical analysis is carried out using equilibrium points of the system for studying their stability properties and the chaotic behaviors are illustrated with the help of bifurcation diagrams and Lyapunov exponents. The book is divided into three parts. Part I deals with the application of discrete fractional operators in chemical reaction-based systems with biological significance. Two different chemical reaction models are analysed- one being disproportionation of glucose, which plays an important role in human physiology and the other is the Lengyel – Epstein chemical model. Chaotic behavior of the systems is studied and the synchronization of the system is performed. Part II covers the analysis of biological systems like tumor immune system and neuronal models by introducing memristor based flux control. The memductance functions are considered as quadratic, periodic, and exponential functions. The final part of the book reviews the complex form of the Rabinovich-Fabrikant system which describes physical systems with strong nonlinearity exhibiting unusual behavior.

Issues In Artificial Intelligence Robotics And Machine Learning 2013 Edition

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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2013-05-01

Issues In Artificial Intelligence Robotics And Machine Learning 2013 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-01 with Computers categories.

Issues in Artificial Intelligence, Robotics and Machine Learning: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Expert Systems. The editors have built Issues in Artificial Intelligence, Robotics and Machine Learning: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Expert Systems in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Artificial Intelligence, Robotics and Machine Learning: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.