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  1. Bog
  2. Geometri
  3. Differential- og Riemannsk geometri
Differential Geometry Applied To Dynamical Systems (With Cd-rom)
Af: Jean-marc Ginoux
Engelsk Hardback
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Differential Geometry Applied To Dynamical Systems (With Cd-rom)
Af: Jean-marc Ginoux
Engelsk Hardback
Hardback
1.177 kr
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6 - 8 hverdage
Om denne bog
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 identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes).In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.
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Product detaljer
Sprog:
Engelsk
Sider:
340
ISBN-13:
9789814277143
Indbinding:
Hardback
Udgave:
ISBN-10:
9814277142
Kategori:
Udg. Dato:
6 apr 2009
Længde:
21mm
Bredde:
162mm
Højde:
237mm
Forlag:
World Scientific Publishing Co Pte Ltd
Oplagsdato:
6 apr 2009
Forfatter(e):
Kategori sammenhænge