Recurrences And Strange Nonchaotic Attractors
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Recurrences And Strange Nonchaotic Attractors
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Author : Joëlle Eulalie Ngamga Ketchamen
language : en
Publisher:
Release Date : 2008
Recurrences And Strange Nonchaotic Attractors written by Joëlle Eulalie Ngamga Ketchamen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
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 Business & Economics 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. 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
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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'.
Recurrence Quantification Analysis
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Author : Charles L. Webber, Jr.
language : en
Publisher: Springer
Release Date : 2014-07-31
Recurrence Quantification Analysis written by Charles L. Webber, Jr. and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-31 with Science categories.
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.
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.
Cybernetical Physics
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Author : A. Fradkov
language : en
Publisher: Springer
Release Date : 2007-06-30
Cybernetical Physics written by A. Fradkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-30 with Science categories.
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.
Monotone Nonautonomous Dynamical Systems
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Author : David N. Cheban
language : en
Publisher: Springer Nature
Release Date : 2024-07-15
Monotone Nonautonomous Dynamical Systems written by David N. Cheban and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-15 with Mathematics categories.
The monograph present ideas and methods, developed by the author, to solve the problem of existence of Bohr/Levitan almost periodic (respectively, almost recurrent in the sense of Bebutov, almost authomorphic, Poisson stable) solutions and global attractors of monotone nonautonomous differential/difference equations. Namely, the text provides answers to the following problems: 1. Problem of existence of at least one Bohr/Levitan almost periodic solution for cooperative almost periodic differential/difference equations; 2. Problem of existence of at least one Bohr/Levitan almost periodic solution for uniformly stable and dissipative monotone differential equations (I. U. Bronshtein’s conjecture, 1975); 3. Problem of description of the structure of the global attractor for monotone nonautonomous dynamical systems; 4. The structure of the invariant/minimal sets and global attractors for one-dimensional monotone nonautonomous dynamical systems; 5. Asymptotic behavior of monotone nonautonomous dynamical systems with a first integral (Poisson stable motions, convergence, asymptotically Poisson stable motions and structure of the Levinson center (compact global attractor) of dissipative systems); 6. Existence and convergence to Poisson stable motions of monotone sub-linear nonautonomous dynamical systems. This book will be interesting to the mathematical community working in the field of nonautonomous dynamical systems and their applications (population dynamics, oscillation theory, ecology, epidemiology, economics, biochemistry etc). The book should be accessible to graduate and PhD students who took courses in real analysis (including the elements of functional analysis, general topology) and with general background in dynamical systems and qualitative theory of differential/difference equations.
Introduction To Experimental Nonlinear Dynamics
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Author : Lawrence N. Virgin
language : en
Publisher: Cambridge University Press
Release Date : 2000-03-28
Introduction To Experimental Nonlinear Dynamics written by Lawrence N. Virgin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-28 with Science categories.
Nonlinear behavior can be found in such highly disparate areas as population biology and aircraft wing flutter. Largely because of this extensive reach, nonlinear dynamics and chaos have become very active fields of study and research. This book uses an extended case study - an experiment in mechanical vibration - to introduce and explore the subject of nonlinear behavior and chaos. Beginning with a review of basic principles, the text then describes a cart-on-a-track oscillator and shows what happens when it is gradually subjected to greater excitation, thereby encountering the full spectrum of nonlinear behavior, from simple free decay to chaos. Experimental mechanical vibration is the unifying theme as the narrative evolves from a local, linear, largely analytical foundation toward the rich and often unpredictable world of nonlinearity. Advanced undergraduate and graduate students, as well as practising engineers, will find this book a lively, accessible introduction to the complex world of nonlinear dynamics.
Tools And Methods Of Program Analysis
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Author : Anna Kalenkova
language : en
Publisher: Springer Nature
Release Date : 2021-03-16
Tools And Methods Of Program Analysis written by Anna Kalenkova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-16 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Conference on Tools and Methods for Program Analysis, TMPA 2019, held in Tbilisi, Georgia, in November 2019. The 14 revised full papers and 2 revised short papers presented together with one keynote paper were carefully reviewed and selected from 41 submissions. The papers deal with topics such as software test automation, static program analysis, verification, dynamic methods of program analysis, testing and analysis of parallel and distributed systems, testing and analysis of high-load and high-availability systems, analysis and verification of hardware and software systems, methods of building quality software, tools for software analysis, testing and verification.
Iscs 2013 Interdisciplinary Symposium On Complex Systems
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Author : Ali Sanayei
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-15
Iscs 2013 Interdisciplinary Symposium On Complex Systems written by Ali Sanayei 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 2014-02-15 with Technology & Engineering categories.
The book you hold in your hands is the outcome of the "ISCS 2013: Interdisciplinary Symposium on Complex Systems" held at the historical capital of Bohemia as a continuation of our series of symposia in the science of complex systems. Prague, one of the most beautiful European cities, has its own beautiful genius loci. Here, a great number of important discoveries were made and many important scientists spent fruitful and creative years to leave unforgettable traces. The perhaps most significant period was the time of Rudolf II who was a great supporter of the art and the science and attracted a great number of prominent minds to Prague. This trend would continue. Tycho Brahe, Niels Henrik Abel, Johannes Kepler, Bernard Bolzano, August Cauchy Christian Doppler, Ernst Mach, Albert Einstein and many others followed developing fundamental mathematical and physical theories or expanding them. Thus in the beginning of the 17th century, Kepler formulated here the first two of his three laws of planetary motion on the basis of Tycho Brahe’s observations. In the 19th century, nowhere differentiable continuous functions (of a fractal character) were constructed here by Bolzano along with a treatise on infinite sets, titled “Paradoxes of Infinity” (1851). Weierstrass would later publish a similar function in 1872. In 1842, Doppler as a professor of mathematics at the Technical University of Prague here first lectured about a physical effect to bear his name later. And the epoch-making physicist Albert Einstein – while being a chaired professor of theoretical physics at the German University of Prague – arrived at the decisive steps of his later finished theory of general relativity during the years 1911–1912. In Prague, also many famous philosophers and writers accomplished their works; for instance, playwright arel ape coined the word "robot" in Prague (“robot” comes from the Czech word “robota” which means “forced labor”).