Generation Of Self Excited Hidden And Non Self Excited Attractors In Piecewise Linear Systems Some Recent Approaches

Author : Eric Campos Canton
Publisher : World Scientific
ISBN 13 : 9811274134
Total Pages : 192 pages
Book Rating : 4.38/5 ( download)

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Download or read book Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches written by Eric Campos Canton and published by World Scientific. This book was released on 2023-06-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: What kind of dynamics is a piecewise linear system able to display? How may they generate heteroclinic chaos? How can the coexistence of attractors be designed and characterized? Is it necessary to have equilibrium points to generate chaotic behavior? Chaos theory and complex systems are interesting and evolving topics whose investigation from a theoretical and practical point of view constantly leads to arising questions. Interesting behaviors can be observed in self-excited attractors, hidden attractors and non-self-excited attractors.This book presents some fundamentals of linear system theory and recent approaches to design the three classes of chaotic attractors in piecewise linear systems. Each chapter presents a brief description and basic concepts to provide an overview of linear systems theory; chaos and multistability in integer linear systems; hidden and non-self-excited attractors; and fractional approaches. They also provide example systems to illustrate the concepts and design methods introduced. Some current topics under investigation are addressed from an integer order perspective to make the connection with the fractional order counterpart.This textbook provides a comprehensive introduction, methodologies, and analysis tools to study chaotic piecewise linear systems and will be suitable for undergraduate or graduate students interested in the field of chaos and complex dynamics.

Author : Walter Lacarbonara
Publisher : Springer Nature
ISBN 13 : 3031506359
Total Pages : 649 pages
Book Rating : 4.52/5 ( download)

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Download or read book Advances in Nonlinear Dynamics, Volume III written by Walter Lacarbonara and published by Springer Nature. This book was released on with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Eric Campos-Cantón
Publisher : Springer Nature
ISBN 13 : 3031512243
Total Pages : 360 pages
Book Rating : 4.47/5 ( download)

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Download or read book Complex Systems and Their Applications written by Eric Campos-Cantón and published by Springer Nature. This book was released on with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Christos Volos
Publisher : MDPI
ISBN 13 : 3038978981
Total Pages : 290 pages
Book Rating : 4.85/5 ( download)

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Download or read book Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors written by Christos Volos and published by MDPI. This book was released on 2019-05-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Viet-Thanh Pham
Publisher : Springer
ISBN 13 : 3319712438
Total Pages : 497 pages
Book Rating : 4.37/5 ( download)

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Download or read book Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors written by Viet-Thanh Pham and published by Springer. This book was released on 2018-02-26 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

Author : Fei Yu
Publisher : Frontiers Media SA
ISBN 13 : 2832545599
Total Pages : 131 pages
Book Rating : 4.91/5 ( download)

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Download or read book Advances in nonlinear systems and networks, volume II written by Fei Yu and published by Frontiers Media SA. This book was released on 2024-03-04 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. A. Andronov
Publisher : Elsevier
ISBN 13 : 1483194728
Total Pages : 848 pages
Book Rating : 4.21/5 ( download)

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Download or read book Theory of Oscillators written by A. A. Andronov and published by Elsevier. This book was released on 2013-10-22 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of non-linear non-conservative systems, namely, dissipative systems and self-oscillating systems. This book discusses as well the discontinuous self-oscillations of a symmetrical multi-vibrator neglecting anode reaction. The final chapter deals with the immense practical importance of the stability of physical systems containing energy sources particularly control systems. This book is a valuable resource for electrical engineers, scientists, physicists, and mathematicians.

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.13/5 ( download)

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Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Author : Jian Li
Publisher : Frontiers Media SA
ISBN 13 : 2889740803
Total Pages : 205 pages
Book Rating : 4.02/5 ( download)

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Download or read book Cell-Free Synthetic Biology written by Jian Li and published by Frontiers Media SA. This book was released on 2022-01-13 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mario Bernardo
Publisher : Springer Science & Business Media
ISBN 13 : 1846287081
Total Pages : 497 pages
Book Rating : 4.84/5 ( download)

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Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.