Differential geometry applied to dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hackensack, N.J.
World Scientific
2009
|
| Series: | World Scientific series on nonlinear science
vol. 66 World Scientific series on nonlinear science v. 66 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 297-307) and index 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 .. |
| Physical Description: | 1 Online-Ressource (xxvii, 312 pages) |
| ISBN: | 9789814277143 9789814277150 9814277142 9814277150 |
Staff View
MARC
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| 100 | 1 | |a Ginoux, Jean-Marc |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Differential geometry applied to dynamical systems |c Jean-Marc Ginoux |
| 264 | 1 | |a Hackensack, N.J. |b World Scientific |c 2009 | |
| 300 | |a 1 Online-Ressource (xxvii, 312 pages) | ||
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| 490 | 0 | |a World Scientific series on nonlinear science |v vol. 66 | |
| 490 | 0 | |a World Scientific series on nonlinear science |v v. 66 | |
| 500 | |a Includes bibliographical references (pages 297-307) and index | ||
| 500 | |a 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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| ctrlnum | (OCoLC)593212992 (DE-599)BVBBV043155316 |
| dewey-full | 531.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
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| discipline | Physik |
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| id | DE-604.BV043155316 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:10Z |
| institution | BVB |
| isbn | 9789814277143 9789814277150 9814277142 9814277150 |
| language | English |
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| physical | 1 Online-Ressource (xxvii, 312 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific |
| record_format | marc |
| series2 | World Scientific series on nonlinear science |
| spelling | Ginoux, Jean-Marc Verfasser aut Differential geometry applied to dynamical systems Jean-Marc Ginoux Hackensack, N.J. World Scientific 2009 1 Online-Ressource (xxvii, 312 pages) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science vol. 66 World Scientific series on nonlinear science v. 66 Includes bibliographical references (pages 297-307) and index 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 .. SCIENCE / Mechanics / Dynamics bisacsh Dynamics Geometry, Differential http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305321 Aggregator Volltext |
| spellingShingle | Ginoux, Jean-Marc Differential geometry applied to dynamical systems SCIENCE / Mechanics / Dynamics bisacsh Dynamics Geometry, Differential |
| title | Differential geometry applied to dynamical systems |
| title_auth | Differential geometry applied to dynamical systems |
| title_exact_search | Differential geometry applied to dynamical systems |
| title_full | Differential geometry applied to dynamical systems Jean-Marc Ginoux |
| title_fullStr | Differential geometry applied to dynamical systems Jean-Marc Ginoux |
| title_full_unstemmed | Differential geometry applied to dynamical systems Jean-Marc Ginoux |
| title_short | Differential geometry applied to dynamical systems |
| title_sort | differential geometry applied to dynamical systems |
| topic | SCIENCE / Mechanics / Dynamics bisacsh Dynamics Geometry, Differential |
| topic_facet | SCIENCE / Mechanics / Dynamics Dynamics Geometry, Differential |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305321 |
| work_keys_str_mv | AT ginouxjeanmarc differentialgeometryappliedtodynamicalsystems |