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Chaos, Synchronization and Structure...
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Verichev, Nikolai.
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space/ by Nikolai Verichev, Stanislav Verichev, Vladimir Erofeev.
作者:
Verichev, Nikolai.
其他作者:
Erofeev, Vladimir.
面頁冊數:
XII, 197 p. 125 illus., 28 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical Physics. -
電子資源:
https://doi.org/10.1007/978-3-030-36103-7
ISBN:
9783030361037
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
Verichev, Nikolai.
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
[electronic resource] /by Nikolai Verichev, Stanislav Verichev, Vladimir Erofeev. - 1st ed. 2020. - XII, 197 p. 125 illus., 28 illus. in color.online resource. - Understanding Complex Systems,1860-0832. - Understanding Complex Systems,.
Introduction -- Autonomous and non-autonomous systems with one degrees-of-freedom. Autonomous and non-autonomous systems with one and a half degrees-of-freedom -- Autonomous systems with two degrees-of-freedom -- Vibration of shafts -- Synchronization in homogeneous lattices -- Physics, existence, fusion and stability Of cluster structures -- Appendix I -- Appendix II.
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. .
ISBN: 9783030361037
Standard No.: 10.1007/978-3-030-36103-7doiSubjects--Topical Terms:
786661
Mathematical Physics.
LC Class. No.: QC174.7-175.36
Dewey Class. No.: 530.1
Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
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