Lectures on Dynamical Systems, Structural Stability and Their Applications

ISBN-10: 981450727X
ISBN-13: 9789814507271
Category: Differentiable dynamical systems
Pages: 472
Language: English
Published: 1992-05-14
Publisher: World Scientific
Author: Kotik K Lee

Description

The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems. Contents:IntroductionTopics in Topology and Differential GeometryIntroduction to Global Analysis and Infinite Dimensional ManifoldsGeneral Theory of Dynamical SystemsStability Theory and Liapunov's Direct MethodIntroduction to the General Theory of Structural StabilityApplications Readership: Applied mathematicians and engineers. Keywords:Asymptotically Stable;Bifurcation;Dispersive Systems;Global Analysis;Integral Flow;Liapunov Functions;Linearization;Nonlinear Dynamical Systems;Stable Manifolds;Structural StabilityReview:“The author's style is clear, formulations of mathematical results are precise … The book helps the reader to create a good global picture of the theory of dynamical systems. The author has gathered a considerable number of facts about dynamical systems in this book, including almost 1000 references, so that it can also serve as a handbook for mathematicians beginning to work in this area … The book is useful not only for technicians, but also for mathematicians, and we recommend it to anyone working in dynamical systems.”Alois Klíc Mathematical Reviews

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