Bifurcation and Chaos in Engineering - 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 Engineering write by Yushu Chen. This book was released on 2012-12-06. Bifurcation and Chaos in Engineering available in PDF, EPUB and Kindle. For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science. An in-depth study of the theory and application of non-linear science will certainly change one's perception of numerous non-linear phenomena and laws considerably, together with its great effects on many areas of application. As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern. This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials from literature in this field. The bifurcation and chaotic vibration of deterministic non-linear dynamic systems are studied from the viewpoint of non-linear vibration.
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.
Bifurcations and Chaos in Piecewise-smooth Dynamical Systems
Bifurcations and Chaos in Piecewise-smooth 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 Bifurcations and Chaos in Piecewise-smooth Dynamical Systems write by Zhanybai T. Zhusubaliyev. This book was released on 2003. Bifurcations and Chaos in Piecewise-smooth Dynamical Systems available in PDF, EPUB and Kindle. Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description.This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory.The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general.
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.
Bifurcation and Chaos
Bifurcation 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 Bifurcation and Chaos write by Jan Awrejcewicz. This book was released on 2012-12-06. Bifurcation and Chaos available in PDF, EPUB and Kindle. A collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the state of the art, as well as details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book provides important information and ideas for all mathematicians, physicists and engineers whose work in R & D or academia involves the practical consequences of chaotic dynamics.
