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Author : Tapesh Chakraborty
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.E/5 ( download)
Download or read book Bifurcation Analysis of Two Weakly Coupled Van Der Pol Oscillators written by Tapesh Chakraborty and published by . This book was released on 1987 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Norbert Renz
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (565 download)
Download or read book Bifurcation Analysis of Multifrequency Patterns in Coupled Van Der Pol Oscillators written by Norbert Renz and published by . This book was released on 2004 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tapesh Chakraborty
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.E/5 ( download)
Download or read book The Transition from Phase Locking to Drift in a System of Two Weakly Coupled Van Der Pol Oscillators written by Tapesh Chakraborty and published by . This book was released on 1987 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Allen Wirkus
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.E/5 ( download)
Download or read book The Dynamics of Two Coupled Van Der Pol Oscillators with Delay Coupling written by Stephen Allen Wirkus and published by . This book was released on 1999 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kevin Robert Rompala
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.E/5 ( download)
Download or read book Dynamics of Three Coupled Van Der Pol Oscillators with Application to Circadian Rhythms written by Kevin Robert Rompala and published by . This book was released on 2006 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard H. Rand
Publisher : Springer Science & Business Media
ISBN 13 : 1461210607
Total Pages : 254 pages
Book Rating : 4.4/5 (612 download)
Download or read book Perturbation Methods, Bifurcation Theory and Computer Algebra written by Richard H. Rand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation methods have always been an important tool for treating nonlinear differential equations. Now the drudgery associated with them has been eliminated! This book offers computer algebra (MACSYMA) programs which implement the most popular perturbation methods. Not only does this avoid the errors associated with hand computation, but the increase in efficiency permits more complicated problems to be tackled. This book is useful both for the beginner learning perturbation methods for the first time, as well as for the researcher. Methods covered include: Lindstedt's method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction. For each method the book includes an introduction and some example problems solved both by hand and by machine. The examples feature common bifurcations such as the pitchfork and the Hopf. The MACSYMA code for each method is given and suggested exercises are provided at the end of each Chapter. An Appendix offers a brief introduction to MACSYMA.
Author : Yushu Chen
Publisher : Springer Science & Business Media
ISBN 13 : 1447115759
Total Pages : 465 pages
Book Rating : 4.4/5 (471 download)
Download or read book Bifurcation and Chaos in Engineering written by Yushu Chen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Ardeshir Guran
Publisher : World Scientific
ISBN 13 : 981450078X
Total Pages : 248 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume written by Ardeshir Guran and published by World Scientific. This book was released on 1997-12-16 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematical methods include Lie transforms, Monte Carlo simulations, stochastic calculus, perturbation methods and proper orthogonal decomposition. Applications include gyrodynamics, tether connected satellites, shell buckling, nonlinear circuits, volume oscillations of a large lake, systems with stick-slip friction, imperfect or disordered structures, overturning of rigid blocks, central pattern generators, flow induced oscillations, shape control and vibration suppression of elastic structures.All of these diverse contributions have a common thread: the world of nonlinear behavior. Although linear dynamics is an invaluable tool, there are many problems where nonlinear effects are essential. Some examples include bifurcation of solutions, stability of motion, the effects of large displacements, and subharmonic resonance. This book shows how nonlinear dynamics is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.
Author : Duane Storti
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.E/5 ( download)
Download or read book A Study of the Motions of Two Strongly Coupled Van Der Pol Oscillators written by Duane Storti and published by . This book was released on 1981 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 9789812564801
Total Pages : 566 pages
Book Rating : 4.5/5 (648 download)
Download or read book Bifurcation and Chaos in Nonsmooth Mechanical Systems written by Jan Awrejcewicz and published by World Scientific. This book was released on 2003 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical frame for studying lumped nonsmoothdynamical systems: the mathematical methods are recalled, and adaptednumerical methods are introduced (differential inclusions, maximalmonotone operators, Filippov theory, Aizerman theory, etc.
Author : David M. Sliger
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (387 download)
Download or read book Stability Transitions for Weakly Coupled Van Der Pol Oscillators written by David M. Sliger and published by . This book was released on 1997 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank C. Hoppensteadt
Publisher : Springer Science & Business Media
ISBN 13 : 1461218284
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)
Download or read book Weakly Connected Neural Networks written by Frank C. Hoppensteadt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to local and global analysis of weakly connected systems with applications to neurosciences, this book uses bifurcation theory and canonical models as the major tools of analysis. It presents a systematic and well motivated development of both weakly connected system theory and mathematical neuroscience, addressing bifurcations in neuron and brain dynamics, synaptic organisations of the brain, and the nature of neural codes. The authors present classical results together with the most recent developments in the field, making this a useful reference for researchers and graduate students in various branches of mathematical neuroscience.
Author : Ebrahim Esmailzadeh
Publisher : Springer
ISBN 13 : 9402415424
Total Pages : 296 pages
Book Rating : 4.4/5 (24 download)
Download or read book Analytical Methods in Nonlinear Oscillations written by Ebrahim Esmailzadeh and published by Springer. This book was released on 2018-06-29 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.
Author : Vladimir Burd
Publisher : CRC Press
ISBN 13 : 158488875X
Total Pages : 357 pages
Book Rating : 4.5/5 (848 download)
Download or read book Method of Averaging for Differential Equations on an Infinite Interval written by Vladimir Burd and published by CRC Press. This book was released on 2007-03-19 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the me
Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 9814522910
Total Pages : 257 pages
Book Rating : 4.8/5 (145 download)
Download or read book Bifurcation And Chaos In Coupled Oscillators written by Jan Awrejcewicz and published by World Scientific. This book was released on 1991-03-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general methodological approach to investigate complex physical systems presented by the author in a previous book. The nonlinear dynamics of coupled oscillators is investigated numerically and analytically. Three different mechanical, and one biomechanical, examples are used to demonstrate a general systematical approach to the study of dissipative dynamical systems. Many original examples of special chaotic behavior are discussed and illustrated.
Author : J. Kevorkian
Publisher : Springer Science & Business Media
ISBN 13 : 1475742134
Total Pages : 569 pages
Book Rating : 4.4/5 (757 download)
Download or read book Perturbation Methods in Applied Mathematics written by J. Kevorkian and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathe matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B.
Author : José Roberto Cantú-González
Publisher : Frontiers Media SA
ISBN 13 : 288963244X
Total Pages : 71 pages
Book Rating : 4.8/5 (896 download)
Download or read book Computational Probability and Mathematical Modeling written by José Roberto Cantú-González and published by Frontiers Media SA. This book was released on 2019-12-24 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present time, two of the most important approaches to tackle complex systems are probability and stochastic processes theory. Still from an analytic perspective, modeling and solving a problem using a stochastic approach is not a trivial issue, hence, a combination of the logic of probabilistic reasoning with computational science is needed to obtain qualitatively good solutions in a reasonable time. This eBook presents an interesting view of applications associated to fields of probability, statistics, and mathematic modeling, all of them supported by a computational context though the approach of stochasticity and simulation used in most of them. This collection contains three chapters, which bring applications in fields of biology, finance and physics, each chapter contains work(s) with specific applications. An editorial is also contained with a summarized version of each work, and each of them are widely explained in a specific section, which include a state of art to support the nature of the individual research, a methodology to solve the defined problem and the results and conclusions. We hope the present eBook can represent a potential source of knowledge for the academic community of implicated disciplines, and an inspirational starting point of starting for scientists in the amazing world of applied mathematics and the search to solve complex problems
