Collective Dynamics of the Winfree Model of Coupled Nonlinear Oscillators

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Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Collective Dynamics of the Winfree Model of Coupled Nonlinear Oscillators by : Joel Thevatharman Ariaratnam

Download or read book Collective Dynamics of the Winfree Model of Coupled Nonlinear Oscillators written by Joel Thevatharman Ariaratnam and published by . This book was released on 2002 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Constants II

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Publisher : Cambridge University Press
ISBN 13 : 1108470599
Total Pages : 783 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Mathematical Constants II by : Steven R. Finch

Download or read book Mathematical Constants II written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Collective Dynamics of Nonlinear and Disordered Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540213833
Total Pages : 402 pages
Book Rating : 4.2/5 (138 download)

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Book Synopsis Collective Dynamics of Nonlinear and Disordered Systems by : Günter Radons

Download or read book Collective Dynamics of Nonlinear and Disordered Systems written by Günter Radons and published by Springer Science & Business Media. This book was released on 2005-01-12 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

Collective Dynamics in Complex Networks of Noisy Phase Oscillators

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832543759
Total Pages : 127 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Collective Dynamics in Complex Networks of Noisy Phase Oscillators by : Bernard Sonnenschein

Download or read book Collective Dynamics in Complex Networks of Noisy Phase Oscillators written by Bernard Sonnenschein and published by Logos Verlag Berlin GmbH. This book was released on 2016-11-21 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to contribute to our understanding of the effects of noise and non-uniform interactions in populations of oscillatory units. In particular, we explore the collective dynamics in various extensions of the Kuramoto model. We develop a theoretical framework to study such noisy systems and we show through many examples that indeed new insights can be gained with our method. The first step is to coarse-grain the complex networks. The oscillatory units are then characterized solely by their individual quantities, so that identical units can be grouped together. The second step consists of the ansatz that in all these groups the distributions of the oscillators' phases follow time-dependent Gaussians. We apply this analytical two-step method to oscillator networks with correlations between coupling strengths and natural frequencies, to populations with mixed positive and negative coupling strengths, and to noise-driven active rotators, which can perform excitable dynamics. We calculate the rich phase diagrams that delineate the emergent rhythms. Extensive numerical simulations are performed to show both the validity and the limitations of our theoretical results.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 806 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2004 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coupled Nonlinear Oscillators

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Publisher : Elsevier
ISBN 13 : 9780080871912
Total Pages : 123 pages
Book Rating : 4.8/5 (719 download)

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Book Synopsis Coupled Nonlinear Oscillators by : J. Chandra

Download or read book Coupled Nonlinear Oscillators written by J. Chandra and published by Elsevier. This book was released on 1983-01-01 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coupled Nonlinear Oscillators

Advanced Topics on Cellular Self-organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems

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Publisher : World Scientific
ISBN 13 : 9812814051
Total Pages : 208 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advanced Topics on Cellular Self-organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems by : Riccardo Caponetto

Download or read book Advanced Topics on Cellular Self-organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems written by Riccardo Caponetto and published by World Scientific. This book was released on 2008 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the research topics investigated during the three-year research project funded by the Italian Ministero dell'Istruzione, dell'Universite e della Ricerca (MIUR: Ministry of Education, University and Research) under the FIRB project RBNE01CW3M. With the aim of introducing newer perspectives of the research on complexity, the final results of the project are presented after a general introduction to the subject. The book is intended to provide researchers, PhD students, and people involved in research projects in companies with the basic fundamentals of complex systems and the advanced project results recently obtained.

Collective Dynamics of Nonlinear and Disordered Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540268693
Total Pages : 377 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Collective Dynamics of Nonlinear and Disordered Systems by : Günter Radons

Download or read book Collective Dynamics of Nonlinear and Disordered Systems written by Günter Radons and published by Springer Science & Business Media. This book was released on 2005-11-02 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

Fluctuating Nonlinear Oscillators

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Publisher : OUP Oxford
ISBN 13 : 0191637548
Total Pages : 432 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Fluctuating Nonlinear Oscillators by : Mark Dykman

Download or read book Fluctuating Nonlinear Oscillators written by Mark Dykman and published by OUP Oxford. This book was released on 2012-07-26 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a unifying insight into fluctuation phenomena in a broad variety of vibrational systems of current interest. It consists of individual chapters written by leading experts in the field. The chapters are self-contained and complement each other. The ongoing rapid development of well-characterized mesoscopic vibrational systems has made it possible to address fundamental physics problems and to explore new approaches to quantum and classical measurements, with applications to quantum information, condensed matter physics, and engineering. The book gives an account of major results in this direction. The topics include dynamics and quantum control of microcavity modes coupled to qubits, measurements with bifurcation-based amplifiers and new types of such amplifiers; switching rate scaling and new quantum mechanisms of metastable decay; wave mixing and parametric excitation in the quantum regime; collective phenomena and the interaction-induced discrete time symmetry breaking; and back-action and shot noise in electron-vibrational systems.

Concepts and Methods in Modern Theoretical Chemistry

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Publisher : CRC Press
ISBN 13 : 1466506210
Total Pages : 345 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Concepts and Methods in Modern Theoretical Chemistry by : Swapan Kumar Ghosh

Download or read book Concepts and Methods in Modern Theoretical Chemistry written by Swapan Kumar Ghosh and published by CRC Press. This book was released on 2016-04-19 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts and Methods in Modern Theoretical Chemistry: Statistical Mechanics, the second book in a two-volume set, focuses on the dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, this book offers chapters written by experts in their fields. It enables readers to learn how concepts from ab initio quantum

Concepts and Methods in Modern Theoretical Chemistry, Two Volume Set

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Publisher : CRC Press
ISBN 13 : 1482260689
Total Pages : 856 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Concepts and Methods in Modern Theoretical Chemistry, Two Volume Set by : Swapan Kumar Ghosh

Download or read book Concepts and Methods in Modern Theoretical Chemistry, Two Volume Set written by Swapan Kumar Ghosh and published by CRC Press. This book was released on 2020-06-16 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts and Methods in Modern Theoretical Chemistry, Two-Volume Set focuses on the structure and dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, the two books offer chapters written by experts in their fields. They enable readers to learn how concepts from ab initio quantum chemistry, density functio

Nonlinear Dynamics in Computational Neuroscience

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Publisher : Springer
ISBN 13 : 3319710486
Total Pages : 141 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Nonlinear Dynamics in Computational Neuroscience by : Fernando Corinto

Download or read book Nonlinear Dynamics in Computational Neuroscience written by Fernando Corinto and published by Springer. This book was released on 2018-06-19 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an essential overview of computational neuroscience. It addresses a broad range of aspects, from physiology to nonlinear dynamical approaches to understanding neural computation, and from the simulation of brain circuits to the development of engineering devices and platforms for neuromorphic computation. Written by leading experts in such diverse fields as neuroscience, physics, psychology, neural engineering, cognitive science and applied mathematics, the book reflects the remarkable advances that have been made in the field of computational neuroscience, an emerging discipline devoted to the study of brain functions in terms of the information-processing properties of the structures forming the nervous system. The contents build on the workshop “Nonlinear Dynamics in Computational Neuroscience: from Physics and Biology to ICT,” which was held in Torino, Italy in September 2015.

Mathematical Modeling and Applications in Nonlinear Dynamics

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Publisher : Springer
ISBN 13 : 3319266306
Total Pages : 205 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Modeling and Applications in Nonlinear Dynamics by : Albert C.J. Luo

Download or read book Mathematical Modeling and Applications in Nonlinear Dynamics written by Albert C.J. Luo and published by Springer. This book was released on 2016-01-28 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

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Publisher : Springer
ISBN 13 : 3319681095
Total Pages : 315 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives by : Mark Edelman

Download or read book Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives written by Mark Edelman and published by Springer. This book was released on 2017-11-17 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Biological Clocks, Rhythms, and Oscillations

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Publisher : MIT Press
ISBN 13 : 0262036770
Total Pages : 369 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger

Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2017-11-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.

American Doctoral Dissertations

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Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis American Doctoral Dissertations by :

Download or read book American Doctoral Dissertations written by and published by . This book was released on 2001 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Chaos

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Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.