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Differential geometry applied to dynamical systems /
This book aims to present a new approach called flow curvature method that applies differential geometry to dynamical systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory -- or the flow -- may be an...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, N.J. :
World Scientific,
2009.
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| Colección: | World Scientific series on nonlinear science. Monographs and treatises ;
vol. 66. World Scientific series on nonlinear science. Monographs and treatises ; v. 66. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This book aims to present a new approach called flow curvature method that applies differential geometry to dynamical systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory -- or the flow -- may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence ... |
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| Descripción Física: | 1 online resource (xxvii, 312 pages) : illustrations. |
| Bibliografía: | Includes bibliographical references (pages 297-307) and index. |
| ISBN: | 9789814277150 9814277150 |