Nikolai Verichev's Books

Further Insights into Oscillation Theory

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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Further Insights into Oscillation Theory

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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.

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Page Count

496

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527572978

ISBN 13

9781527572973

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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.

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Page Count

207

Publisher

Springer Nature

Published Date

ISBN 10

3030361039

ISBN 13

9783030361037

Further Insights into Oscillation Theory

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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Further Insights into Oscillation Theory

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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N/A

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Solve jigsaw puzzle

Age

Page Count

496

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527572978

ISBN 13

9781527572973

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

By: Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev

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N/A

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Solve jigsaw puzzle

Age

Page Count

207

Publisher

Springer Nature

Published Date

ISBN 10

3030361039

ISBN 13

9783030361037

Book's by Nikolai Verichev

Further Insights into Oscillation Theory

Further Insights into Oscillation Theory

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

Further Insights into Oscillation Theory

Further Insights into Oscillation Theory

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

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