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Perspectives Of Nonlinear Dynamics Volume 1
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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.
Book Synopsis Perspectives of Nonlinear Dynamics by : Edwin Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics written by Edwin Atlee Jackson and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Perspectives of nonlinear dynamics by : E. Atlee Jackson
Download or read book Perspectives of nonlinear dynamics written by E. Atlee Jackson and published by . This book was released on 1991 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 293 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.
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.
Book Synopsis Perspectives of Nonlinear Dynamics. Volume I by : E. Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics. Volume I written by E. Atlee Jackson and published by . This book was released on 1991 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Perspectives of Nonlinear Dynamics by : Edwin Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics written by Edwin Atlee Jackson and published by . This book was released on 1991 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Cambridge University Press. This book was released on 1992-01-31 with total page 520 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.
Book Synopsis Perspectives of Nonlinear Dynamics by : Edwin Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics written by Edwin Atlee Jackson and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Nonlinear Dynamics and Chaos by : J Hogan
Download or read book Nonlinear Dynamics and Chaos written by J Hogan and published by CRC Press. This book was released on 2002-08-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.
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. This book was released on 2011-03-30 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This text introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. It provides an analysis, and classification of the empirical results presented in Wolfram's 'New Kind of Science'.
Book Synopsis Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A - Volume Iii by : Leon O Chua
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A - Volume Iii written by Leon O Chua and published by World Scientific. This book was released on 2009-08-11 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli στ-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the “Isle of Eden” found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.
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.
Book Synopsis Perspectives of Nonlinear Dynamics by : Edwin Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics written by Edwin Atlee Jackson and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: