Perspectives In Nonlinear Dynamics

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Perspectives of Nonlinear Dynamics: Volume 1

Author : E. Atlee Jackson
Publisher : CUP Archive
ISBN 13 : 9780521426329
Total Pages : 532 pages
Book Rating : 4.4/5 (263 download)

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Book Synopsis Perspectives of Nonlinear Dynamics: Volume 1 by : E. Atlee Jackson

Download or read book Perspectives of Nonlinear Dynamics: Volume 1 written by E. Atlee Jackson and published by CUP Archive. This book was released on 1989 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

Nonlinear Dynamics and Chaos: Advances and Perspectives

Author : Marco Thiel
Publisher : Springer
ISBN 13 : 3642046290
Total Pages : 300 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Nonlinear Dynamics and Chaos: Advances and Perspectives by : Marco Thiel

Download or read book Nonlinear Dynamics and Chaos: Advances and Perspectives written by Marco Thiel and published by Springer. This book was released on 2010-05-17 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
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.

Perspectives of Nonlinear Dynamics: Volume 2

Author : E. Atlee Jackson
Publisher : CUP Archive
ISBN 13 : 9780521426336
Total Pages : 676 pages
Book Rating : 4.4/5 (263 download)

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Book Synopsis Perspectives of Nonlinear Dynamics: Volume 2 by : E. Atlee Jackson

Download or read book Perspectives of Nonlinear Dynamics: Volume 2 written by E. Atlee Jackson and published by CUP Archive. This book was released on 1989 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations.

Methods Of Qualitative Theory In Nonlinear Dynamics (Part I)

Author : Leonid P Shilnikov
Publisher : World Scientific
ISBN 13 : 9814496421
Total Pages : 418 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Methods Of Qualitative Theory In Nonlinear Dynamics (Part I) by : Leonid P Shilnikov

Download or read book Methods Of Qualitative Theory In Nonlinear Dynamics (Part I) written by Leonid P Shilnikov and published by World Scientific. This book was released on 1998-12-08 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form.In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced students of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science

Author : Leon O. Chua
Publisher : World Scientific Publishing Company
ISBN 13 : 9789814390514
Total Pages : 0 pages
Book Rating : 4.3/5 (95 download)

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Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O. Chua

Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific Publishing Company. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts.This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence.Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss.Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules.But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine.

Nonlinear Dynamical Systems

Author : Irwin W. Sandberg
Publisher : John Wiley & Sons
ISBN 13 : 9780471349112
Total Pages : 316 pages
Book Rating : 4.3/5 (491 download)

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Book Synopsis Nonlinear Dynamical Systems by : Irwin W. Sandberg

Download or read book Nonlinear Dynamical Systems written by Irwin W. Sandberg and published by John Wiley & Sons. This book was released on 2001-02-21 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sechs erfahrene Autoren beschreiben in diesem Band ein Spezialgebiet der neuronalen Netze mit Anwendungen in der Signalsteuerung, Signalverarbeitung und Zeitreihenanalyse. Ein zeitgemäßer Beitrag zur Behandlung nichtlinear-dynamischer Systeme!

Nonlinear Dynamics in Physiology

Author : Mark Shelhamer
Publisher : World Scientific
ISBN 13 : 9812700293
Total Pages : 367 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Nonlinear Dynamics in Physiology by : Mark Shelhamer

Download or read book Nonlinear Dynamics in Physiology written by Mark Shelhamer and published by World Scientific. This book was released on 2007 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compilation of mathematical-computational tools that are used to analyze experimental data. The techniques presented are those that have been most widely and successfully applied to the analysis of physiological systems, and address issues such as randomness, determinism, dimension, and nonlinearity. In addition to bringing together the most useful methods, sufficient mathematical background is provided to enable non-specialists to understand and apply the computational techniques. Thus, the material will be useful to life-science investigators on several levels, from physiologists to bioengineer.Initial chapters present background material on dynamic systems, statistics, and linear system analysis. Each computational technique is demonstrated with examples drawn from physiology, and several chapters present case studies from oculomotor control, neuroscience, cardiology, psychology, and epidemiology. Throughout the text, historical notes give a sense of the development of the field and provide a perspective on how the techniques were developed and where they might lead. The overall approach is based largely on the analysis of trajectories in the state space, with emphasis on time-delay reconstruction of state-space trajectories. The goal of the book is to enable readers to apply these methods to their own research.

Nonlinear Dynamics and Chaos

Author : J. M. T. Thompson
Publisher : John Wiley & Sons
ISBN 13 : 9780471876847
Total Pages : 492 pages
Book Rating : 4.8/5 (768 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : J. M. T. Thompson

Download or read book Nonlinear Dynamics and Chaos written by J. M. T. Thompson and published by John Wiley & Sons. This book was released on 2002-02-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.

Introduction to Experimental Nonlinear Dynamics

Author : Lawrence N. Virgin
Publisher : Cambridge University Press
ISBN 13 : 9780521779319
Total Pages : 270 pages
Book Rating : 4.7/5 (793 download)

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Book Synopsis Introduction to Experimental Nonlinear Dynamics by : Lawrence N. Virgin

Download or read book Introduction to Experimental Nonlinear Dynamics written by Lawrence N. Virgin and published by Cambridge University Press. This book was released on 2000-03-28 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: A case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.

Nonlinear Dynamics in Human Behavior

Author : Raoul Huys
Publisher : Springer Science & Business Media
ISBN 13 : 3642162614
Total Pages : 216 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Nonlinear Dynamics in Human Behavior by : Raoul Huys

Download or read book Nonlinear Dynamics in Human Behavior written by Raoul Huys and published by Springer Science & Business Media. This book was released on 2010-12-08 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humans engage in a seemingly endless variety of different behaviors, of which some are found across species, while others are conceived of as typically human. Most generally, behavior comes about through the interplay of various constraints – informational, mechanical, neural, metabolic, and so on – operating at multiple scales in space and time. Over the years, consensus has grown in the research community that, rather than investigating behavior only from bottom up, it may be also well understood in terms of concepts and laws on the phenomenological level. Such top down approach is rooted in theories of synergetics and self-organization using tools from nonlinear dynamics. The present compendium brings together scientists from all over the world that have contributed to the development of their respective fields departing from this background. It provides an introduction to deterministic as well as stochastic dynamical systems and contains applications to motor control and coordination, visual perception and illusion, as well as auditory perception in the context of speech and music.

The Dynamics of Physiologically Structured Populations

Author : Johan A. Metz
Publisher : Springer
ISBN 13 : 3662131595
Total Pages : 526 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Dynamics of Physiologically Structured Populations by : Johan A. Metz

Download or read book The Dynamics of Physiologically Structured Populations written by Johan A. Metz and published by Springer. This book was released on 2014-03-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Perspectives on Nonlinear Dynamics and Complexity

Author : Dimitri Volchenkov
Publisher : Springer Nature
ISBN 13 : 303097328X
Total Pages : 198 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis New Perspectives on Nonlinear Dynamics and Complexity by : Dimitri Volchenkov

Download or read book New Perspectives on Nonlinear Dynamics and Complexity written by Dimitri Volchenkov and published by Springer Nature. This book was released on 2022-07-29 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents select, recent developments in nonlinear and complex systems reported at the 1st Online Conference on Nonlinear Dynamics and Complexity, held on November 23-25, 2020. It provides an exchange recent developments, discoveries, and progresses in Nonlinear Dynamics and Complexity. The collection presents fundamental and frontier theories and techniques for modern science and technology, stimulates more research interest for exploration of nonlinear science and complexity; and passes along new knowledge and insight to the next generation of engineers and technologists in a range of fields.

Nonlinear Dynamics, Mathematical Biology, And Social Science

Author : Joshua M. Epstein
Publisher : CRC Press
ISBN 13 : 0429973039
Total Pages : 132 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics, Mathematical Biology, And Social Science by : Joshua M. Epstein

Download or read book Nonlinear Dynamics, Mathematical Biology, And Social Science written by Joshua M. Epstein and published by CRC Press. This book was released on 2018-03-08 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a series of lectures on mathematical biology, the essential dynamics of complex and crucially important social systems, and the unifying power of mathematics and nonlinear dynamical systems theory.

Perspectives in Dynamical Systems I: Mechatronics and Life Sciences

Author : Jan Awrejcewicz
Publisher : Springer Nature
ISBN 13 : 303077306X
Total Pages : 286 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Perspectives in Dynamical Systems I: Mechatronics and Life Sciences by : Jan Awrejcewicz

Download or read book Perspectives in Dynamical Systems I: Mechatronics and Life Sciences written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2022-01-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Dynamics and Bifurcations

Author : Jack K. Hale
Publisher : Springer Science & Business Media
ISBN 13 : 1461244269
Total Pages : 577 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Dynamics and Bifurcations by : Jack K. Hale

Download or read book Dynamics and Bifurcations written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits appears.

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.