Stability, Structures and Chaos in Nonlinear Synchronization Networks by V. S. Afraimovich, V. I. Nekorkin, G. V. Osipov and V. D. Shalfeev - 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 Stability, Structures and Chaos in Nonlinear Synchronization Networks by V. S. Afraimovich, V. I. Nekorkin, G. V. Osipov and V. D. Shalfeev write by Valentin Senderovich Afraĭmovich. This book was released on 1994. Stability, Structures and Chaos in Nonlinear Synchronization Networks by V. S. Afraimovich, V. I. Nekorkin, G. V. Osipov and V. D. Shalfeev available in PDF, EPUB and Kindle.
Stability, Structures And Chaos In Nonlinear Synchronization Networks
Stability, Structures And Chaos In Nonlinear Synchronization 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 Stability, Structures And Chaos In Nonlinear Synchronization Networks write by Valentin S Afraimovich. This book was released on 1995-01-16. Stability, Structures And Chaos In Nonlinear Synchronization Networks available in PDF, EPUB and Kindle. The understanding of fields and media using discrete lattice models has been greatly aided by the advent of powerful computers. This has also led to the formulation of new and inspiring problems associated with the analysis of homogeneous discrete networks of interacting dynamical elements. This book investigates the nonlinear dynamics of peculiar discrete media made up of interconnected phase synchronization systems. After an introduction which sets out the nature of the problem, the book goes on to consider dynamic processes in chain and lattice networks, utilising both continuous and discrete synchronization systems as component elements. Computational studies aimed at oscillatory-wave phenomena will make the book valuable for specialists in radio engineering, biological excitable media and other branches of physics and biology as well as specialists in applied mathematics and nonlinear sciences.
Stability, Structures and Chaos in Nonlinear Synchronization Networks
Stability, Structures and Chaos in Nonlinear Synchronization 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 Stability, Structures and Chaos in Nonlinear Synchronization Networks write by Valentin Senderovich Afra?movich. This book was released on 1994. Stability, Structures and Chaos in Nonlinear Synchronization Networks available in PDF, EPUB and Kindle. The understanding of fields and media using discrete lattice models has been greatly aided by the advent of powerful computers. This has also led to the formulation of new and inspiring problems associated with the analysis of homogeneous discrete networks of interacting dynamical elements. This book investigates the nonlinear dynamics of peculiar discrete media made up of interconnected phase synchronization systems. After an introduction which sets out the nature of the problem, the book goes on to consider dynamic processes in chain and lattice networks, utilising both continuous and discrete synchronization systems as component elements. Computational studies aimed at oscillatory-wave phenomena will make the book valuable for specialists in radio engineering, biological excitable media and other branches of physics and biology as well as specialists in applied mathematics and nonlinear sciences.
Chaos In Nonlinear Oscillators: Controlling And Synchronization
Chaos In Nonlinear Oscillators: Controlling And Synchronization - 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 Chaos In Nonlinear Oscillators: Controlling And Synchronization write by M Lakshmanan. This book was released on 1996-06-28. Chaos In Nonlinear Oscillators: Controlling And Synchronization available in PDF, EPUB and Kindle. This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space - 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 Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space write by Nikolai Verichev. This book was released on 2020-01-01. Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space available in PDF, EPUB and Kindle. This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well as their combinations (rotational-vibrational) if the number of cyclic variables is more than one. The specificity of rotator phase space poses serious challenges in terms of selecting methods for studying the dynamics of related systems. The book chiefly focuses on developing a modified form of the method of averaging, which can be used to study the dynamics of rotators. In general, the book uses the “language” of the qualitative theory of differential equations, point mappings, and the theory of bifurcations, which helps authors to obtain new results on dynamical chaos in systems with few degrees of freedom. In addition, a special section is devoted to the study and classification of dynamic structures that can occur in systems with a large number of interconnected objects, i.e. in lattices of rotators and/or oscillators. Given its scope and format, the book can be used both in lectures and courses on nonlinear dynamics, and in specialized courses on the development and operation of relevant systems that can be represented by a large number of various practical systems: interconnected grids of various mechanical systems, various types of networks including not only mechanical but also biological systems, etc.
