Author : Joëlle Eulalie Ngamga Ketchamen
Publisher :
Page : 44 pages
File Size : 17,92 MB
Release : 2008
Category :
ISBN :
[PDF] Recurrences And Strange Nonchaotic Attractors eBook
Recurrences And Strange Nonchaotic Attractors Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Recurrences And Strange Nonchaotic Attractors book. This book definitely worth reading, it is an incredibly well-written.
Strange Nonchaotic Attractors
Author : Ulrike Feudel
Publisher : World Scientific
Page : 226 pages
File Size : 27,49 MB
Release : 2006
Category : Business & Economics
ISBN : 9812566333
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. Key Features Topics are suitable for various disciplines dealing with nonlinear dynamics (mechanics, physics, nonlinear optics, hydrodynamics, chemical kinetics, etc.) A variety of theoretical tools is supplied to reveal different characteristics of strange nonchaotic behavior Readership: Graduate students and researchers in nonlinear science.
The Creation of Strange Non-Chaotic Attractors in Non-Smooth Saddle-Node Bifurcations
Author : Tobias H. Jger
Publisher : American Mathematical Soc.
Page : 120 pages
File Size : 49,2 MB
Release : 2009-08-07
Category : Mathematics
ISBN : 082184427X
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'.
Characterizing Strange Nonchaotic Attractors
Author : Arkadij S. Pikovskij
Publisher :
Page : 20 pages
File Size : 11,65 MB
Release : 1994
Category :
ISBN :
Recurrence Quantification Analysis
Author : Charles L. Webber, Jr.
Publisher : Springer
Page : 426 pages
File Size : 18,95 MB
Release : 2014-07-31
Category : Science
ISBN : 3319071556
The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology, engineering, physics, geosciences, linguistics, finance, economics, and other disciplines. This multi-authored book intends to comprehensively introduce and showcase recent advances as well as established best practices concerning both theoretical and practical aspects of recurrence plot based analysis. Edited and authored by leading researcher in the field, the various chapters address an interdisciplinary readership, ranging from theoretical physicists to application-oriented scientists in all data-providing disciplines.
Strange nonchaotic attractor
Author : Sara Costa Romero
Publisher :
Page : 54 pages
File Size : 32,47 MB
Release : 2005
Category :
ISBN :
Strange Nonchaotic Attractors in Quasiperiodically Forced Systems
Author : Robert John Sturman
Publisher :
Page : 173 pages
File Size : 46,18 MB
Release : 2000
Category :
ISBN :
Monotone Nonautonomous Dynamical Systems
Author : David N. Cheban
Publisher : Springer Nature
Page : 475 pages
File Size : 26,49 MB
Release :
Category :
ISBN : 3031600576
Cybernetical Physics
Author : A. Fradkov
Publisher : Springer
Page : 248 pages
File Size : 48,68 MB
Release : 2007-06-30
Category : Science
ISBN : 3540462775
Cybernetical physics borrows methods from both theoretical physics and control engineering. It deals with the control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behavior or similar features that defy traditional control techniques. This book fully details this new discipline.
High-Dimensional Chaotic and Attractor Systems
Author : Vladimir G. Ivancevic
Publisher : Springer Science & Business Media
Page : 711 pages
File Size : 41,96 MB
Release : 2007-02-06
Category : Science
ISBN : 1402054564
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.