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Integrability and nonintegrability of dynamical systems /
This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, it...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
©2001.
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| Colección: | Advanced series in nonlinear dynamics ;
v. 19. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, its geometrical relevance and dynamical consequences. Integrability theory is approached from different perspectives, first in terms of differential algebra, then in terms of complex time singularities and finally from the viewpoint of phase geometry (for both Hamiltonian and non-Hamiltonian systems). |
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| Descripción Física: | 1 online resource (xviii, 415 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 385-409) and index. |
| ISBN: | 9789812811943 981281194X 981023533X 9789810235338 |