You might also like

Availability alert

More about Differential Geometry Applied To Dynamical Systems (With Cd-rom)

• Book details
• Synopsis
• Trending among others

You get 283 loyalty points

Book synopsis

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, and 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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Differential Geometry Applied To Dynamical Systems (With Cd-rom)
• Author: Jean-Marc Ginoux
• Language: English
• Binding: Hardback
• Number of pages: 340
• EAN: 9789814277143
• ISBN: 9814277142
• ID: 05069750
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 668 g
• Dimensions: 237 × 162 × 21 mm
• Date of publishing: 06. April 2009

Trending among others

---

---

---