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Bestseller
BestsellerE-book
Author Ginoux, Jean-Marc.

Title Differential geometry applied to dynamical systems / Jean-Marc Ginoux.

Publication Info. Hackensack, N.J. : World Scientific, 2009.

Item Status

Description 1 online resource (xxvii, 312 pages) : illustrations.
Physical Medium polychrome
Description text file
Series World scientific series on nonlinear science. Series A. ; vol. 66
World Scientific series on nonlinear science. Series A, Monographs and treatises ; vol. 66.
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 66.
Bibliography Includes bibliographical references (pages 297-307) and index.
Summary 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 ...
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Dynamics.
Dynamics.
Geometry, Differential.
Geometry, Differential.
Genre/Form Electronic books.
Electronic books.
Other Form: Print version: Ginoux, Jean-Marc. Differential geometry applied to dynamical systems. Hackensack, N.J. : World Scientific, 2009 9789814277143 (OCoLC)311763235
ISBN 9789814277150 (electronic book)
9814277150 (electronic book)
9789814277143
9814277142