Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2
Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu.- Benford solutions of linear difference equations: Arno Berger and Gideon Eshun.- Harvesting and dynamics in some one-dimensional population models: Eduardo Liz and Frank M. Hilker.- Chaos and wild chaos in Lorenz-type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer.- Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas.- Advances in periodic difference equations with open problems: Ziyad AlSharawi, Jose S. Canovas and Antonio Linero.- An Evolutionary Beverton-Holt Model: J. M. Cushing.- The periodic decomposition problem: Balint Farkas and Szilard Gy. Revesz.- Existence of periodic and almost periodic solutions of discrete Ricker delay models: Yoshihiro Hamaya.- Generalized Lagrange identity for discrete symplectic systems and applications in Weyl-Titchmarsh Theory: Roman Simon Hilscher and Petr Zemanek.- Dynamic selection systems and replicator equations: Zdenek Pospsil.- Asymptotic equivalence of difference equations in Banach Space: Andrejs Reinfelds.
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Автор: Vasile Marinca; Nicolae Herisanu Название: Nonlinear Dynamical Systems in Engineering ISBN: 364243410X ISBN-13(EAN): 9783642434105 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents and extends methods for solving different types of strong nonlinearities encountered in engineering systems. Each chapter introduces a distinct approximate method, accompanied by representative examples from various fields of engineering.
Автор: Sanders J. A., Verhulst F., Murdock J. Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 0387489169 ISBN-13(EAN): 9780387489162 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.Review of First Edition"One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews
Автор: Brin Название: Introduction to Dynamical Systems ISBN: 1107538947 ISBN-13(EAN): 9781107538948 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one, the authors use examples to motivate, clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory, data storage, and Internet search engines.
Автор: Ralph Abraham; Laura Gardini; Christian Mira Название: Chaos in Discrete Dynamical Systems ISBN: 1461273471 ISBN-13(EAN): 9781461273479 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors.
Описание: A guide to the geometrical theory of dynamical systems, fluid flows and certain integrable systems. It helps to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples.
Автор: Michel Coornaert Название: Topological Dimension and Dynamical Systems ISBN: 3319197932 ISBN-13(EAN): 9783319197937 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov.
Автор: Bernd Krauskopf; Hinke M. Osinga; Jorge Galan-Vioq Название: Numerical Continuation Methods for Dynamical Systems ISBN: 9400797028 ISBN-13(EAN): 9789400797024 Издательство: Springer Рейтинг: Цена: 19589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay.
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