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Author :
Publisher :
ISBN 13 : 9814478768
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Strange Nonchaotic Attractors written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrike Feudel
Publisher : World Scientific
ISBN 13 : 9812774408
Total Pages : 226 pages
Book Rating : 4.8/5 (127 download)
Download or read book Strange Nonchaotic Attractors written by Ulrike Feudel and published by World Scientific. This book was released on 2006 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed. Sample Chapter(s). Chapter 1: Introduction (122 KB). Contents: Models; Rational Approximations; Stability and Instability; Fractal and Statistical Properties; Bifurcations in Quasiperiodically Forced Systems and Transitions to SNA; Renormalization Group Approach to the Onset of SNA in Maps with the Golden-Mean Quasiperiodic Driving. Readership: Graduate students and researchers in nonlinear science.
Author : Tomasz Kapitaniak
Publisher : World Scientific
ISBN 13 : 9814502774
Total Pages : 100 pages
Book Rating : 4.8/5 (145 download)
Download or read book Attractors of Quasiperiodically Forced Systems written by Tomasz Kapitaniak and published by World Scientific. This book was released on 1994-01-28 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the influence of quasiperiodic force on dynamical system. With this type of forcing, different types of attractors are possible, for example, strange nonchaotic attractors which have some unusual properties. The main part of this book is based on the authors' recent works, but it also presents the results which are the combined achievements of many investigators. Contents:IntroductionAttractors of Dynamical SystemsStrange Nonchaotic AttractorsInhibition of Chaotic Behaviour in Coupled Geophysical ModelsExperimental System with Dry Friction Readership: Scientists interested in chaos and nonlinear science. keywords: “… useful as a first reading in this particular subfield of nonlinear dynamics.” Mathematical Reviews
Author : Julien C. Sprott
Publisher : M & T Books
ISBN 13 : 9781558512986
Total Pages : 426 pages
Book Rating : 4.5/5 (129 download)
Download or read book Strange Attractors written by Julien C. Sprott and published by M & T Books. This book was released on 1993 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and fractals are new mathematical ideas that have revolutionized our view of the world. They have application in virtually every academic discipline. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns. Disk includes a full working version of the program.
Author : Kapitaniak Tomasz
Publisher : World Scientific
ISBN 13 : 9814550213
Total Pages : 320 pages
Book Rating : 4.8/5 (145 download)
Download or read book Chaos And Nonlinear Mechanics: Proceedings Of Euromech Colloquium 308 "Chaos And Noise In Dynamical Systems" written by Kapitaniak Tomasz and published by World Scientific. This book was released on 1994-10-28 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at Euromech Colloquium 308 — Chaos and Noise in Dynamical Systems.Roughly speaking, a chaotic solution to an ordinary differential equation is aperiodic and “looks like” a stochastic process. On the other hand, the theory of probability and stochastic processes was developed to describe complicated irregular phenomena taking place in the real world, which in most cases are chaotic. This observation led to the idea of bringing together experts on both nonlinear chaotic and stochastic systems for the conference. Equal attention was given to recent theoretical results and practical applications.The revised and updated papers in this volume are grouped in the following sections: Theory of Chaotic Systems; Stochastic Systems; Spatiotemporal Systems and Fluid Dynamics; Numerical Tools; and Practical Applications. Each section starts with a short introduction and a brief summary of the presented papers.
Author : Edward Ott
Publisher : Cambridge University Press
ISBN 13 : 9780521010849
Total Pages : 500 pages
Book Rating : 4.0/5 (18 download)
Download or read book Chaos in Dynamical Systems written by Edward Ott and published by Cambridge University Press. This book was released on 2002-08-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Author : Tobias H. Jger
Publisher : American Mathematical Soc.
ISBN 13 : 082184427X
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Creation of Strange Non-Chaotic Attractors in Non-Smooth Saddle-Node Bifurcations written by Tobias H. Jger and published by American Mathematical Soc.. This book was released on 2009-08-07 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls `exponential evolution of peaks'.
Author : T Kapitaniak
Publisher : World Scientific
ISBN 13 : 9814506214
Total Pages : 668 pages
Book Rating : 4.8/5 (145 download)
Download or read book Chaotic Oscillators written by T Kapitaniak and published by World Scientific. This book was released on 1992-11-30 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection. Contents: Chaos before Chaos:Frequency Demultiplication (B Van der Pol & J Van der Mark)Description and Quantification of Chaotic Behavior:Geometry from a Time Series (N H Packard et al.)Analytical Methods:A Partial Differential Equation with Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam (P Holmes & J Marsden)Classical Nonlinear Oscillators: Duffing, Van der Pol and Pendulum:Universal Scaling Property in Bifurcation Structure of Duffing's and Generalized Duffing's Equations (S Sato et al.)Other Oscillatory Systems:Complex Dynamics of Compliant Off-Shore Structures (J M T Thompson)Chaos in Noisy Systems:Fluctuations and the Onset of Chaos (J P Crutchfield & B A Huberman)Strange Nonchaotic Attractors:Dimensions of Strange Nonchaotic Attractors (M Ding et al.)Spatial Chaos:Chaos as a Limit in a Boundary Value Problem (C Kahlert & O E Rössler)Fractal Basin Boundaries:Fractal Basin Boundaries and Homoclinic Orbit for Periodic Motion in a Two-Well Potential (F C Moon & G-H Li)and other papers Readership: Nonlinear scientists, applied mathematicians, engineers and physicists. keywords:
Author : Edward Ott
Publisher : Cambridge University Press
ISBN 13 : 1139936573
Total Pages : 500 pages
Book Rating : 4.1/5 (399 download)
Download or read book Chaos in Dynamical Systems written by Edward Ott and published by Cambridge University Press. This book was released on 2002-08-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Author : Tomasz Kapitaniak
Publisher : Manchester University Press
ISBN 13 : 9780719033643
Total Pages : 240 pages
Book Rating : 4.0/5 (336 download)
Download or read book Chaotic Oscillations in Mechanical Systems written by Tomasz Kapitaniak and published by Manchester University Press. This book was released on 1991 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Young S. Kim
Publisher : Springer
ISBN 13 : 3540479015
Total Pages : 457 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Physics of Phase Space written by Young S. Kim and published by Springer. This book was released on 2005-09-13 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.
Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author : Sergey N. Vladimirov
Publisher : Scientific Research Publishing, Inc. USA
ISBN 13 : 1618960563
Total Pages : 240 pages
Book Rating : 4.6/5 (189 download)
Download or read book Non-traditional Dynamics in Electronics: Theory and Practice written by Sergey N. Vladimirov and published by Scientific Research Publishing, Inc. USA. This book was released on 2010-10-04 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the proposed book is devoted to investigation of non-trivial problems of functioning of Ultra-High-Frequency (UHF) electronic devices and systems in the various type dynamic instability modes. Both flows and maps (representations) are considered because the relation between maps and flows was repeatedly discussed in different publications. On the contrary, all systems described in the offered book for the first time are considered from the point of view either internal structure, or the description and analysis.
Author :
Publisher :
ISBN 13 : 9814468673
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Elegant Chaos written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Daniel
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173193262
Total Pages : 490 pages
Book Rating : 4.1/5 (932 download)
Download or read book Nonlinear Dynamics written by M. Daniel and published by Alpha Science Int'l Ltd.. This book was released on 2000 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed articles presented at the International Conference on Nonlinear Dynamics: Integrability and Chaos held at Bharathidasan University during 12-16 Feb., 1998. In honor of Prof. M. Lakshmanan.
Author : Francis C. Moon
Publisher : John Wiley & Sons
ISBN 13 : 3527617515
Total Pages : 528 pages
Book Rating : 4.5/5 (276 download)
Download or read book Chaotic and Fractal Dynamics written by Francis C. Moon and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.
Author : Rafael De La Llave
Publisher : World Scientific
ISBN 13 : 9812777873
Total Pages : 270 pages
Book Rating : 4.8/5 (127 download)
Download or read book Mathematical Physics Electronic Journal written by Rafael De La Llave and published by World Scientific. This book was released on 2002 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this journal is to publish papers in mathematical physics and related areas that are of the highest quality. Research papers and review articles are selected through the normal refereeing process, overseen by an editorial board. The research su.
