书目名称 | Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space | 编辑 | Nikolai Verichev,Stanislav Verichev,Vladimir Erofe | 视频video | | 概述 | Summarizes the results of analytical studies on dynamical chaos, synchronization, and dynamic structures in systems of coupled rotators.Focuses on the dynamics of systems with a cylindrical phase spac | 丛书名称 | Understanding Complex Systems | 图书封面 |  | 描述 | .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 systemswith 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 rotator | 出版日期 | Book 2020 | 关键词 | Autonomous Rotator; Autonomous and non-autonomous Systems; Phase Synchronization Systems; Lorentz and F | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-36103-7 | isbn_softcover | 978-3-030-36105-1 | isbn_ebook | 978-3-030-36103-7Series ISSN 1860-0832 Series E-ISSN 1860-0840 | issn_series | 1860-0832 | copyright | Springer Nature Switzerland AG 2020 |
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