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The Duffing Equation: Periodic Solutions and Chaotic Dynamics (Infosys Science Foundation Series)
Book 25 of 38: Infosys Science FoundationSeller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
US$ 217.54
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The Duffing Equation : Periodic Solutions and Chaotic Dynamics
Book 25 of 38: Infosys Science FoundationLanguage: English
Published by Springer Nature Singapore, Springer Nature Singapore, 2025
ISBN 10: 9819783003 ISBN 13: 9789819783007
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of periodic solutions, subharmonic solutions and different approaches to prove rigorously the presence of chaotic dynamics. Topics in the book are presented at an expository level without entering too much into technical detail. It targets to researchers in the field of chaotic dynamics as well as graduate students with a basic knowledge of topology, analysis, ordinary differential equations and dynamical systems. The book starts with a study of the autonomous equation which represents a simple model of dynamics of a mechanical system with one degree of freedom. This special case has been discussed in the book by using an associated energy function. In the case of a centre, a precise formula is given for the period of the orbit by studying the associated period map.The book also deals with the problem of existence of periodic solutions for the periodically perturbed equation. An important operator, the Poincaré map, is introduced and studied with respect to the existence and multiplicity of its fixed points and periodic points. As a map of the plane into itself, complicated structure and patterns can arise giving numeric evidence of the presence of the so-called chaotic dynamics. Therefore, some novel topological tools are introduced to detect and rigorously prove the existence of periodic solutions as well as analytically prove the existence of chaotic dynamics according to some classical definitions introduced in the last decades. Finally, the rest of the book is devoted to some recent applications in different mathematical models. It carefully describes the technique of 'stretching along the paths', which is a very efficient tool to prove rigorously the presence of chaotic dynamics.
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Periodic Solutions of Functional-DFifferential Systems with Sublinear Nonlinerarities.
Published by New York / London. Academic Press. 1984., 1984
Softcover. Originalbroschur. gr. 8°. 588-597 Seiten. Exemplar knittrig. sehr guter Zustand. Reprinted from Journal of Mathematical Analysis and Applications", Vol. 101, No. 2. in englischer Sprache (in english).
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The Duffing Equation
Book 25 of 38: Infosys Science FoundationLanguage: English
Published by Springer Verlag GmbH, 2025
ISBN 10: 9819783003 ISBN 13: 9789819783007
US$ 182.47
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The Duffing Equation: Periodic Solutions and Chaotic Dynamics
Book 25 of 38: Infosys Science FoundationUS$ 276.64
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The Duffing Equation: Periodic Solutions and Chaotic Dynamics (Infosys Science Foundation Series)
Book 25 of 38: Infosys Science FoundationUS$ 278.06
US$ 8.67 shipping
Ships from United Kingdom to U.S.A.Quantity: 4 available
Add to basketCondition: New. Print on Demand.
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Condition: New. PRINT ON DEMAND.
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