Observation Of A Strange Nonchaotic Attractor In A Multistable Potential

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Strange Nonchaotic Attractors

Author : Ulrike Feudel
Publisher : World Scientific
ISBN 13 : 9812566333
Total Pages : 226 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Strange Nonchaotic Attractors by : Ulrike Feudel

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. 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.
ISBN 13 : 082184427X
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Creation of Strange Non-Chaotic Attractors in Non-Smooth Saddle-Node Bifurcations by : Tobias H. Jger

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'.

Attractors Of Quasiperiodically Forced Systems

Author : Tomasz Kapitaniak
Publisher : World Scientific
ISBN 13 : 9814502774
Total Pages : 101 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Attractors Of Quasiperiodically Forced Systems by : Tomasz Kapitaniak

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 101 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.

Physics Briefs

Author :
Publisher :
ISBN 13 :
Total Pages : 1332 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1992 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete and Continuous Dynamical Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete and Continuous Dynamical Systems by :

Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2004 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings Of The 1st Experimental Chaos Conference

Author : Sandeep Vohra
Publisher : World Scientific
ISBN 13 : 9814555223
Total Pages : 434 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Proceedings Of The 1st Experimental Chaos Conference by : Sandeep Vohra

Download or read book Proceedings Of The 1st Experimental Chaos Conference written by Sandeep Vohra and published by World Scientific. This book was released on 1992-04-24 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first conference dedicated to the understanding of the experimental aspects of chaotic behavior in several fields and to addressing the emerging areas of data analysis and applications of nonlinear phenomena. Areas covered are data analysis and signal processing techniques, optics, applications of chaotic behavior, magnetism, nonlinear electronic circuits, spatiotemporal chaos, semiconductors, and physiology. Each paper shows real data and what can be done with it. Emphasis is on the manifestation of chaos in real systems, measuring it, analyzing it, and using it in new and unique applications.

Chinese Physics Letters

Author :
Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.8/5 (226 download)

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Book Synopsis Chinese Physics Letters by :

Download or read book Chinese Physics Letters written by and published by . This book was released on 2008 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

Author :
Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1996 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government reports annual index

Author :
Publisher :
ISBN 13 :
Total Pages : 1442 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government reports annual index by :

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

Author : Viet-Thanh Pham
Publisher : Springer
ISBN 13 : 3319712438
Total Pages : 497 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors by : Viet-Thanh Pham

Download or read book Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors written by Viet-Thanh Pham and published by Springer. This book was released on 2018-02-26 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

Piecewise-smooth Dynamical Systems

Author : Mario Bernardo
Publisher : Springer Science & Business Media
ISBN 13 : 1846287081
Total Pages : 497 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Piecewise-smooth Dynamical Systems by : Mario Bernardo

Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.

Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data

Author : Stephen J. Guastello
Publisher : CRC Press
ISBN 13 : 1439820023
Total Pages : 616 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data by : Stephen J. Guastello

Download or read book Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data written by Stephen J. Guastello and published by CRC Press. This book was released on 2016-04-19 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although its roots can be traced to the 19th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflect

Nonlinear Dynamics

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
ISBN 13 : 3642556884
Total Pages : 628 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonlinear Dynamics by : Muthusamy Lakshmanan

Download or read book Nonlinear Dynamics written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Dynamical Systems with Applications using Mathematica®

Author : Stephen Lynch
Publisher : Springer Science & Business Media
ISBN 13 : 0817645861
Total Pages : 481 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dynamical Systems with Applications using Mathematica® by : Stephen Lynch

Download or read book Dynamical Systems with Applications using Mathematica® written by Stephen Lynch and published by Springer Science & Business Media. This book was released on 2007-09-20 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Dynamical Systems with Applications using MATLAB®

Author : Stephen Lynch
Publisher : Springer
ISBN 13 : 3319068202
Total Pages : 519 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Dynamical Systems with Applications using MATLAB® by : Stephen Lynch

Download or read book Dynamical Systems with Applications using MATLAB® written by Stephen Lynch and published by Springer. This book was released on 2014-07-22 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

Synchronization in Oscillatory Networks

Author : Grigory V. Osipov
Publisher : Springer Science & Business Media
ISBN 13 : 3540712690
Total Pages : 373 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Synchronization in Oscillatory Networks by : Grigory V. Osipov

Download or read book Synchronization in Oscillatory Networks written by Grigory V. Osipov and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few. The book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.

Transient Chaos

Author : Ying-Cheng Lai
Publisher : Springer Science & Business Media
ISBN 13 : 144196987X
Total Pages : 499 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Transient Chaos by : Ying-Cheng Lai

Download or read book Transient Chaos written by Ying-Cheng Lai and published by Springer Science & Business Media. This book was released on 2011-02-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.