Global Bifurcations and Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Bifurcations and Chaos write by Stephen Wiggins. This book was released on 2013-11-27. Global Bifurcations and Chaos available in PDF, EPUB and Kindle. Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.
Chaos, Bifurcations And Fractals Around Us: A Brief Introduction
Chaos, Bifurcations And Fractals Around Us: A Brief Introduction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos, Bifurcations And Fractals Around Us: A Brief Introduction write by Wanda Szemplinska-stupnicka. This book was released on 2003-11-11. Chaos, Bifurcations And Fractals Around Us: A Brief Introduction available in PDF, EPUB and Kindle. During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared. These academic tomes are intended for graduate students and require a deep knowledge of comprehensive, advanced mathematics. There is a need for a book that is accessible to general readers, a book that makes it possible to get a good deal of knowledge about complex chaotic phenomena in nonlinear oscillators without deep mathematical study.Chaos, Bifurcations and Fractals Around Us: A Brief Introduction fills that gap. It is a very short monograph that, owing to geometric interpretation complete with computer color graphics, makes it easy to understand even very complex advanced concepts of chaotic dynamics. This invaluable publication is also addressed to lecturers in engineering departments who want to include selected nonlinear problems in full time courses on general mechanics, vibrations or physics so as to encourage their students to conduct further study.
Bifurcation and Chaos in Nonsmooth Mechanical Systems
Bifurcation and Chaos in Nonsmooth Mechanical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bifurcation and Chaos in Nonsmooth Mechanical Systems write by Jan Awrejcewicz. This book was released on 2003. Bifurcation and Chaos in Nonsmooth Mechanical Systems available in PDF, EPUB and Kindle. This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.
Bifurcation And Chaos In Simple Dynamical Systems
Bifurcation And Chaos In Simple Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bifurcation And Chaos In Simple Dynamical Systems write by Jan Awrejcewicz. This book was released on 1989-10-01. Bifurcation And Chaos In Simple Dynamical Systems available in PDF, EPUB and Kindle. This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author. Practical examples for mechanical and biomechanical systems are discussed. The use of both numerical and analytical approaches allows for a deeper insight into non-linear dynamical phenomena. The numerical and analytical techniques presented do not require specific mathematical knowledge.
Attractors, Bifurcations, & Chaos
Attractors, Bifurcations, & Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Attractors, Bifurcations, & Chaos write by Tönu Puu. This book was released on 2003-07-10. Attractors, Bifurcations, & Chaos available in PDF, EPUB and Kindle. Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.
