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.
Nonlinear Wave Dynamics of Materials and Structures
Nonlinear Wave Dynamics of Materials and Structures - 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 Wave Dynamics of Materials and Structures write by Holm Altenbach. This book was released on 2020-04-22. Nonlinear Wave Dynamics of Materials and Structures available in PDF, EPUB and Kindle. This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.
Further Insights into Oscillation Theory
Further Insights into Oscillation Theory - 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 Further Insights into Oscillation Theory write by Nikolai Verichev. This book was released on 2021-07-27. Further Insights into Oscillation Theory available in PDF, EPUB and Kindle. The book is written for students of universities and postgraduate students specializing in the field of nonlinear dynamics, as well as specialists in various fields of mechanical engineering. It is devoted to the development of original methods, and outlines the results of analytical studies of dynamical chaos, synchronization, and dynamic structures in lattices of coupled rotators. It presents its findings within the context of the phase space of models and by involving methods of the qualitative theory of differential equations, the theory of bifurcations, and qualitative numerical methods.
Frontiers in the Study of Chaotic Dynamical Systems with Open Problems
Frontiers in the Study of Chaotic Dynamical Systems with Open Problems - 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 Frontiers in the Study of Chaotic Dynamical Systems with Open Problems write by Elhadj Zeraoulia. This book was released on 2011. Frontiers in the Study of Chaotic Dynamical Systems with Open Problems available in PDF, EPUB and Kindle. This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.
Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3
Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 - 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 Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 write by Santo Banerjee. This book was released on 2013-06-12. Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 available in PDF, EPUB and Kindle. Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.
