Bifurcation and chaos in engineering
- 452 Pages
- 3.15 MB
- 7058 Downloads
Springer , London, New York
Engineering mathematics, Bifurcation theory, Chaotic behavior in systems, Differentiable dynamical sy
|Statement||Yushu Chen and Andrew Y.T. Leung.|
|Contributions||Leung, A. Y. T.|
|LC Classifications||TA331 .C454 1998|
|The Physical Object|
|Pagination||xii, 452 p. :|
|LC Control Number||98175372|
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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 Cited by: Additional Physical Format: Online version: Chen, Yushu.
Bifurcation and chaos in engineering. London ; New York: Springer, © (OCoLC) Nonlinearity, Bifurcation and Chaos - Theory and Application is an edited book focused on introducing both theoretical and application oriented approaches in science and engineering.
It contains 12 chapters, and is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested Cited by: 6. 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. 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. Get this from a library.
Bifurcation and Chaos in Engineering. [Yushu Chen; Andrew Y T Leung] -- This work deals effectively and systematically with the main contents of modern analytical methods of nonlinear science, dynamic systems and the basic concepts of the theory and its applications in. Controlling Chaos and Bifurcations in Engineering Systems provides a state-of-the-art survey of the control-and anti-control-of chaos in dynamical systems.
Internationally known experts in the field join forces in this volume to form this tutorial-style combination of overview and technical report on the latest advances in the theory and Format: Hardcover.
Description Bifurcation and chaos in engineering PDF
The favorable reaction to the ﬁrst edition of this book conﬁrmed that the publication of such an application-oriented text on bifurcation theory of dynamical systems was well timed. The selected topics indeed cover ma-jor practical issues of applying the bifurcation theory to ﬁnite-dimensional problems.
The last chapters of the book are focused more on engineering bifurcation and engineering chaos, covering the various problems relevant to the field of electrical and electronics engineering Author: Jan Awrejcewicz. An example is the bifurcation diagram of the logistic map: + = (−).
The bifurcation parameter r is shown on the horizontal axis of the plot and the vertical axis shows the set of values of the logistic function visited asymptotically from almost all initial conditions. The bifurcation diagram shows the forking of the periods of stable orbits from 1 to 2 to 4 to 8 etc.
The purpose of the present chapter is once again to show on concrete new examples that chaos in one-dimensional unimodal mappings, dynamical chaos in systems of ordinary differential equations, diffusion chaos in systems of the equations with partial derivatives and chaos in Hamiltonian and conservative systems are generated by cascades of bifurcations under universal bifurcation Feigenbaum Cited by: 1.
Bifurcation and Chaos presents 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. Bifurcation and Chaos in Engineering by Yushu Chen,available at Book Depository with free delivery worldwide.
Abstracting and indexing. The journal is abstracted and indexed in:Discipline: Nonlinear dynamics, chaos theory. The bifurcation and chaos in science and engineering has been elaborately discussed in this up-to-date book.
The aim of this book is to introduce both theoretical and application oriented approaches in science and engineering. It is intended to assist scientists, engineers, teachers, Pages: Therefore, a numerical bifurcation analysis according to the parameter q 1 is investigated.
Fig. 7 shows that system (4) admits two Hopf bifurcation points which are denoted by H 1 and H 2 and described as follows. The first point, H 1, occurs when q 1 = and admits a supercritical Hopf point since the FLC is negative and equal to − The second point, H 2, occurs when q 1. 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. Aims & Scope The International Journal of Bifurcation and Chaos is widely regarded as a leading journal in the exciting fields of chaos theory and nonlinear science.
Represented by an international editorial board comprising top researchers from a wide variety of disciplines, it is setting high standards in scientific and production quality.
1 ME INTRODUCTION TO BIFURCATIONS AND CHAOS (Spring ) Instructor: Anil K Bajaj, School of Mechanical Engineering, Office: Room ME A: Phone # Time and Place: pm (MW), Room ME Text Book: (1) Troger, H.
and Steindl, A.: Nonlinear Stability and Bifurcation Theory: An Introduction for Scientists and Engineers, Springer-Verlag, Wein, File Size: KB.
Hale is also one of the authors of Methods of Bifurcation Theory (Grundlehren der mathematischen Wissenschaften) (v. ), by S.-N. Chow, J.
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Hale, which is a comprehensive book on graduate level bifurcation theory. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering by Steven Henry Strogatz. Book Description. While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals.
The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and.
Bifurcation, Quasi-Periodicity, Chaos, and Co-Existence of Different Behaviors in the Controlled H-Bridge Inverter: /ch This chapter deals with the analysis of the dynamic behavior of a controlled single-phase H-bridge inverter. The authors show that in addition to borderCited by: 1.
Bifurcation And Chaos In Nonsmooth Mechanical Systems by Jan Awrejcewicz. 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.).
Bifurcation and Chaos presents 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 present state of the art, and details of recent.
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Knudsen et al.  discovered both symmetric and asymmetric oscillations and chaos in a model of a rolling railway wheelset that were used to explain a lopsided wear of the wheelset. Knudsen et. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering Int J Bifurcat Chaos Appl Sci Eng.
ISSN: The International Journal of Bifurcation and Chaos is widely regarded as the leading journal in the exciting field of chaos and nonlinear science. The behavior of an iterated function can be described as steady-state, periodic, or chaotic. This is illustrated here with cobweb and bifurcation diagrams.
Visualization of mathematical objects is a recurrent theme in The Chaos Hypertextbook. Controlling Chaos and Bifurcations in Engineering Systems provides a state-of-the-art survey of the control-and anti-control-of chaos in dynamical systems. Internationally known experts in the field join forces in this volume to form this tutorial-style combination of overview and technical report on the latest advances in the theory and.
Paul Glendinning's book has grown out of recurrent final-year undergraduate courses in nonlinear differential equations and bifurcation theory at Cambridge, while G. Nicolis's book derives from the lecture notes for a hour course about nonlinearity for scientists with a mathematical background.
Brings the knowledge of 24 experts in this maturing field out from the narrow confines of academic circles, and makes it accessible to graduate students and power electronics professionals alike. * Provides practicing engineers with the knowledge to predict power requirement behavior.
* The insights gained from this all-inclusive compilation will ultimately lead to better design methodologies. Chaos engineering is carefully injecting this harm into our systems to test the system’s ability to respond to it. This is an effective method to practice, prepare, and prevent/minimize downtime.
The Paperback of the Bifurcation and Chaos: Theory and Applications by Jan Awrejcewicz at Barnes & Noble. 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 Author: Jan Awrejcewicz.InTech, - p.
- This book focuses on introducing both theoretical and application oriented approaches in science and engineering. It is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested in the field of nonlinearity, bifurcation and chaos.
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