Alexander B. Borisov - Böcker
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2 produkter
2 produkter
Del 36 - De Gruyter Studies in Mathematical Physics
Nonlinear Dynamics
Non-Integrable Systems and Chaotic Dynamics
Inbunden, Engelska, 2016
1 645 kr
Skickas inom 5-8 vardagar
The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the material exposition is to add some comments, historical information, brief biographies and portraits of the researchers who made the most significant contribution to science. This allows one to present the material as accessible and attractive to students to acquire indepth scientific knowledge of nonlinear mechanics, feel the atmosphere where those or other important discoveries were made. The book can be used as a textbook for advanced undergraduate and graduate students majoring in high-tech industries and high technology (the science based on high technology) to help them to develop lateral thinking in early stages of training. Contents:Nonlinear OscillationsIntegrable SystemsStability of Motion and Structural StabilityChaos in Conservative SystemsChaos and Fractal Attractors in Dissipative SystemsConclusionReferencesIndex
Quasi-One-Dimensional Magnetic Solitons
Riemann Problem, Solitons, and Inverse Scattering Method
Inbunden, Engelska, 2026
2 997 kr
Kommande
Despite the considerable theoretical and practical interest [1-14], there are very few monographs that cover, in sufficient depth, the nonlinear dynamics of magnetic solitons. The book offers to fill this gap to the best advantage. The monograph contains a complete presentation of the current state of the theory of quasi-one-dimensional magnetic solitons. Apart from the traditional description of nonlinear dynamics using the Landau-Lifshitz equations, the Andreev-Volkov-Marchenko-Zheltukhin models of phenomenological Lagrangians of spin waves are incorporated for the first time. The text elucidates the most effective techniques for integrating nonlinear partial differential equations (the inverse scattering method and "dressing" method), through examples that demonstrate the construction and analysis of soliton solutions of ferromagnet models exhibiting various types of magnetic anisotropy, alongside unique solitons in multi-sublattice magnets, magnetic films, and strip domain structures. The discussion of specific problems includes comprehensive computations and universal methodological techniques, a complete analysis of the structure and properties of various solitons. This makes the book useful both for qualified researchers and for senior university students.