Attractors Of Quasiperiodically Forced Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Attractors Of Quasiperiodically Forced Systems PDF full book. Access full book title Attractors Of Quasiperiodically Forced Systems by Tomasz Kapitaniak. Download full books in PDF and EPUB format.
Author: Tomasz Kapitaniak
Publisher: World Scientific
ISBN: 9814502774
Category : Science
Languages : en
Pages : 101
Get Book Here
Book Description
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.
Author: Tomasz Kapitaniak
Publisher: World Scientific
ISBN: 9814502774
Category : Science
Languages : en
Pages : 101
Get Book Here
Book Description
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.
Author: Arkady S Pikovsky
Publisher: World Scientific
ISBN: 9814478768
Category : Science
Languages : en
Pages : 226
Get Book Here
Book Description
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.
Author: Robert John Sturman
Publisher:
ISBN:
Category :
Languages : en
Pages : 173
Get Book Here
Book Description
Author: Kapitaniak Tomasz
Publisher: World Scientific
ISBN: 9814550213
Category :
Languages : en
Pages : 320
Get Book Here
Book Description
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: 1139936573
Category : Science
Languages : en
Pages : 500
Get Book Here
Book Description
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:
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
Get Book Here
Book Description
Attractors which are not chaotic but nevertheless display strange geometric properties have been the subject of a number of studies since they were studied in certain quasiperiodically forced maps, by Grebogi et al. (Physica 13D, 26 (1984)). The attractors, as defined by these authors, are nonchaotic, since they are characterized by Lyapunov exponents which are smaller than zero; but are, however, strange since they display geometric properties unlike either limit cycles or quasiperiodic attractors. The attractors are produced by dissipative, nonlinear systems which are driven by two periodic external forces whose frequences are incommensurate. Strange nonchaotic attractors have been observed in numerical experiments with a variety of bistable and monostable nonlinear oscillators as well as in one ingenious experiment, designed by Ditto et al. (Phys. Rev. Lett. 65, 533 (1990)), using a forced, free standing beam whose mechanical properties could be externally controlled by magnetic fields. We study here a nonlinear oscillator with a multistable potential both numerically and with an analog simulator. The dynamics mimics that of the internal magnetic flux through an under damped, multistable, superconducting quantum interference device which is quasiperiodically forced. We report measurements and numerical computations of the power spectra, invariant density, and Poincare sections Precision numerical computations were used to study the Lyapunov exponents and to observe the destruction of a chaotic attractor and its replacement by a strange nonchaotic one.
Author: Tobias H. Jger
Publisher: American Mathematical Soc.
ISBN: 082184427X
Category : Mathematics
Languages : en
Pages : 120
Get Book Here
Book Description
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: Tomasz Kapitaniak
Publisher: World Scientific
ISBN: 9814506214
Category : Science
Languages : en
Pages : 669
Get Book Here
Book Description
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.
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 656
Get Book Here
Book Description
Author: Tomasz Kapitaniak
Publisher: Manchester University Press
ISBN: 9780719033643
Category : Health & Fitness
Languages : en
Pages : 240
Get Book Here
Book Description