Nikolai Verichev; Stanislav Verichev; Vladimir Ero Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space 9783030361020

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Автор: Nikolai Verichev; Stanislav Verichev; Vladimir Ero
Название: Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
ISBN: 9783030361020
Издательство: Springer
Классификация:

Кибернетика и теория систем

Управление НИОКР

Прикладная математика

Теории нелинейных процессов

Статистическая физика

Математическая физика

ISBN-10: 3030361020
Обложка/Формат: Hardcover
Страницы: 197
Вес: 0.49 кг.
Дата издания: 2020
Серия: Understanding Complex Systems
Язык: English
Издание: 1st ed. 2020
Иллюстрации: 28 illustrations, color; 97 illustrations, black and white; xii, 197 p. 125 illus., 28 illus. in color.
Размер: 234 x 156 x 13
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.

Дополнительное описание: 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 homo

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