Strange Nonchaotic Attractors In Quasiperiodically Forced Systems
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Attractors Of Quasiperiodically Forced Systems
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Author : Tomasz Kapitaniak
language : en
Publisher: World Scientific
Release Date : 1994-01-28
Attractors Of Quasiperiodically Forced Systems written by Tomasz Kapitaniak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-28 with Science categories.
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.
Strange Nonchaotic Attractors Dynamics Between Order And Chaos In Quasiperiodically Forced Systems
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Author : Arkady S Pikovsky
language : en
Publisher: World Scientific
Release Date : 2006-04-26
Strange Nonchaotic Attractors Dynamics Between Order And Chaos In Quasiperiodically Forced Systems written by Arkady S Pikovsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-26 with Science categories.
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.
Strange Nonchaotic Attractors
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Author : Ulrike Feudel
language : en
Publisher: World Scientific
Release Date : 2006
Strange Nonchaotic Attractors written by Ulrike Feudel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
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.
Strange Nonchaotic Attractors In Quasiperiodically Forced Systems
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Author : Robert John Sturman
language : en
Publisher:
Release Date : 2000
Strange Nonchaotic Attractors In Quasiperiodically Forced Systems written by Robert John Sturman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
The Creation Of Strange Non Chaotic Attractors In Non Smooth Saddle Node Bifurcations
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Author : Tobias H. Jger
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-07
The Creation Of Strange Non Chaotic Attractors In Non Smooth Saddle Node Bifurcations written by Tobias H. Jger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-07 with Mathematics categories.
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'.
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1989
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Power resources categories.
Chaotic Oscillators
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Author : Tomasz Kapitaniak
language : en
Publisher: World Scientific
Release Date : 1992
Chaotic Oscillators written by Tomasz Kapitaniak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
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.
High Dimensional Chaotic And Attractor Systems
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Author : Vladimir G. Ivancevic
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-06
High Dimensional Chaotic And Attractor Systems written by Vladimir G. Ivancevic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-06 with Science categories.
This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.
Chaotic Oscillations In Mechanical Systems
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Author : Tomasz Kapitaniak
language : en
Publisher: Manchester University Press
Release Date : 1991
Chaotic Oscillations In Mechanical Systems written by Tomasz Kapitaniak and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Health & Fitness categories.
Discrete And Continuous Dynamical Systems
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Author :
language : en
Publisher:
Release Date : 2008
Discrete And Continuous Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Dynamics categories.