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Titlebook: Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space; Nikolai Verichev,Stanislav Verichev,Vladimir Er

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書目名稱Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
編輯Nikolai Verichev,Stanislav Verichev,Vladimir Erofe
視頻videohttp://file.papertrans.cn/224/223912/223912.mp4
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
叢書名稱Understanding Complex Systems
圖書封面Titlebook: Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space; Nikolai Verichev,Stanislav Verichev,Vladimir Er
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 “l(fā)anguage” 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
關(guān)鍵詞Autonomous Rotator; Autonomous and non-autonomous Systems; Phase Synchronization Systems; Lorentz and F
版次1
doihttps://doi.org/10.1007/978-3-030-36103-7
isbn_softcover978-3-030-36105-1
isbn_ebook978-3-030-36103-7Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Voters and the Managing of Conflict,ich is determined by the isochronous synchronization of all lattice oscillators, is the simplest possible structure (all lattice oscillators form a single cluster, i.e. a single-color cluster structure).
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Physics, Existence, Fusion, and Stability of Cluster Structures,ich is determined by the isochronous synchronization of all lattice oscillators, is the simplest possible structure (all lattice oscillators form a single cluster, i.e. a single-color cluster structure).
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1860-0832 s 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 rotator978-3-030-36105-1978-3-030-36103-7Series ISSN 1860-0832 Series E-ISSN 1860-0840
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Book 2020ns, 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
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Nikolai Verichev,Stanislav Verichev,Vladimir ErofeSummarizes 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
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