Global Differentiable Dynamics PDF Download
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Author: O. Hajek
Publisher: Springer
ISBN: 3540369961
Category : Mathematics
Languages : en
Pages : 153
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Book Description
Author: O. Hajek
Publisher: Springer
ISBN: 3540369961
Category : Mathematics
Languages : en
Pages : 153
Get Book Here
Book Description
Author: O. Hájek
Publisher:
ISBN: 9780387056746
Category :
Languages : en
Pages : 140
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Book Description
Author: O. Hajek
Publisher:
ISBN: 9783662170281
Category :
Languages : en
Pages : 160
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Book Description
Author: A. J. Lohwater
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 140
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Book Description
Author: Lawrence Markus
Publisher: American Mathematical Soc.
ISBN: 0821816950
Category : Mathematics
Languages : en
Pages : 85
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Book Description
Offers an exposition of the central results of Differentiable Dynamics. This edition includes an Appendix reviewing the developments under five basic areas: nonlinear oscillations, diffeomorphisms and foliations, general theory; dissipative dynamics, general theory; conservative dynamics, and, chaos, catastrophe, and multi-valued trajectories.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Bo T. Stenström
Publisher:
ISBN: 9780387056784
Category : Associative rings
Languages : de
Pages : 140
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Book Description
Author: Zbigniew Nitecki
Publisher:
ISBN: 9780026240116
Category : Diffeomorphisms
Languages : en
Pages : 282
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Book Description
Author: David Ruelle
Publisher: Elsevier
ISBN: 1483272184
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
Author: Jean-Marc Ginoux
Publisher: World Scientific
ISBN: 9814277150
Category : Science
Languages : en
Pages : 341
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Book Description
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 OCo or the flow OCo 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.
