Through The Stable Saddle Ro

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Phase Transition Dynamics

Author : Tian Ma
Publisher : Springer Science & Business Media
ISBN 13 : 1461489636
Total Pages : 575 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Phase Transition Dynamics by : Tian Ma

Download or read book Phase Transition Dynamics written by Tian Ma and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.

Dynamic Models in Biology

Author : Stephen P. Ellner
Publisher : Princeton University Press
ISBN 13 : 1400840961
Total Pages : 352 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamic Models in Biology by : Stephen P. Ellner

Download or read book Dynamic Models in Biology written by Stephen P. Ellner and published by Princeton University Press. This book was released on 2011-09-19 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

Information Geometry and Its Applications

Author : Shun-ichi Amari
Publisher : Springer
ISBN 13 : 4431559787
Total Pages : 378 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Information Geometry and Its Applications by : Shun-ichi Amari

Download or read book Information Geometry and Its Applications written by Shun-ichi Amari and published by Springer. This book was released on 2016-02-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman–Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.

Chaos, CNN, Memristors and Beyond

Author : Andrew Adamatzky
Publisher : World Scientific
ISBN 13 : 9814434809
Total Pages : 562 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Chaos, CNN, Memristors and Beyond by : Andrew Adamatzky

Download or read book Chaos, CNN, Memristors and Beyond written by Andrew Adamatzky and published by World Scientific. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first OCo cellular nonlinear networks, nonlinear circuits and cellular automata OCo deals with Chua''s Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua''s circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua''s views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into OCyancient memristorsOCO, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book.The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science.The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua''s circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike."

Differential Equations and Dynamical Systems

Author : Lawrence Perko
Publisher : Springer Science & Business Media
ISBN 13 : 1461300037
Total Pages : 566 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Differential Equations and Dynamical Systems by : Lawrence Perko

Download or read book Differential Equations and Dynamical Systems written by Lawrence Perko and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.

Evolution of Spontaneous Structures in Dissipative Continuous Systems

Author : Friedrich H. Busse
Publisher : Springer Science & Business Media
ISBN 13 : 3540495371
Total Pages : 592 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Evolution of Spontaneous Structures in Dissipative Continuous Systems by : Friedrich H. Busse

Download or read book Evolution of Spontaneous Structures in Dissipative Continuous Systems written by Friedrich H. Busse and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.

Solid State Electrochemistry II

Author : Vladislav V. Kharton
Publisher : John Wiley & Sons
ISBN 13 : 3527635572
Total Pages : 565 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Solid State Electrochemistry II by : Vladislav V. Kharton

Download or read book Solid State Electrochemistry II written by Vladislav V. Kharton and published by John Wiley & Sons. This book was released on 2011-04-27 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideal addition to the companion volume on fundamentals, methodologies, and applications, this second volume combines fundamental information with an overview of the role of ceramic membranes, electrodes and interfaces in this important, interdisciplinary and rapidly developing field. Written primarily for specialists working in solid state electrochemistry, this first comprehensive handbook on the topic focuses on the most important developments over the last decade, as well as the methodological and theoretical aspects and practical applications. This makes the contents equally of interest to material, physical and industrial scientists, and to physicists. Also available as a two-volume set.

Recent Progress In Controlling Chaos

Author : Miguel A F Sanjuan
Publisher : World Scientific
ISBN 13 : 9814466034
Total Pages : 440 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Progress In Controlling Chaos by : Miguel A F Sanjuan

Download or read book Recent Progress In Controlling Chaos written by Miguel A F Sanjuan and published by World Scientific. This book was released on 2010-01-13 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to as turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics.Recent Progress in Controlling Chaos provides an excellent broad overview of the subject matter, and will be especially useful for graduate students, researchers and scientists working in the areas of nonlinear dynamics, chaos and complex systems. The authors, world-renowned scientists and prominent experts in the field of controlling chaos, will offer readers through their research works, a fascinating insight into the state-of-the-art technology used in the progress in key techniques and concepts in the field of control.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author : Jacques Bélair
Publisher : Springer
ISBN 13 : 3319303791
Total Pages : 777 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical and Computational Approaches in Advancing Modern Science and Engineering by : Jacques Bélair

Download or read book Mathematical and Computational Approaches in Advancing Modern Science and Engineering written by Jacques Bélair and published by Springer. This book was released on 2016-08-10 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

The Physics of Instabilities in Solid State Electron Devices

Author : Harold L. Grubin
Publisher : Springer Science & Business Media
ISBN 13 : 1489923446
Total Pages : 474 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Physics of Instabilities in Solid State Electron Devices by : Harold L. Grubin

Download or read book The Physics of Instabilities in Solid State Electron Devices written by Harold L. Grubin and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past three decades have been a period where useful current and voltage instabilities in solids have progressed from exciting research problems to a wide variety of commercially available devices. Materials and electronics research has led to devices such as the tunnel (Esaki) diode, transferred electron (Gunn) diode, avalanche diodes, real-space transfer devices, and the like. These structures have proven to be very important in the generation, amplification, switching, and processing of microwave signals up to frequencies exceeding 100 GHz. In this treatise we focus on a detailed theoretical understanding of devices of the kind that can be made unstable against circuit oscillations, large amplitude switching events, and in some cases, internal rearrangement of the electric field or current density distribution. The book is aimed at the semiconductor device physicist, engineer, and graduate student. A knowledge of solid state physics on an elementary or introductory level is assumed. Furthermore, we have geared the book to device engineers and physicists desirous of obtaining an understanding substantially deeper than that associated with a small signal equivalent circuit approach. We focus on both analytical and numerical treatment of specific device problems, concerning ourselves with the mechanism that determines the constitutive relation governing the device, the boundary conditions (contact effects), and the effect of the local circuit environment.

Pattern Formation

Author : Rebecca B. Hoyle
Publisher : Cambridge University Press
ISBN 13 : 9780521817509
Total Pages : 440 pages
Book Rating : 4.8/5 (175 download)

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Book Synopsis Pattern Formation by : Rebecca B. Hoyle

Download or read book Pattern Formation written by Rebecca B. Hoyle and published by Cambridge University Press. This book was released on 2006-03-17 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully illustrated mathematical guide to pattern formation. Includes instructive exercises and examples.

A Course in Differential Equations with Boundary Value Problems

Author : Stephen A. Wirkus
Publisher : CRC Press
ISBN 13 : 1498736068
Total Pages : 788 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis A Course in Differential Equations with Boundary Value Problems by : Stephen A. Wirkus

Download or read book A Course in Differential Equations with Boundary Value Problems written by Stephen A. Wirkus and published by CRC Press. This book was released on 2017-01-24 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter All three software packages have parallel code and exercises There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book

Progress in Optics

Author : Emil Wolf
Publisher : Elsevier
ISBN 13 : 0444510222
Total Pages : 653 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Progress in Optics by : Emil Wolf

Download or read book Progress in Optics written by Emil Wolf and published by Elsevier. This book was released on 2002-05-17 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Optics Volume 43.

New Methods for Chaotic Dynamics

Author : Nikolai Aleksandrovich Magnitskii
Publisher : World Scientific
ISBN 13 : 9812773517
Total Pages : 382 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis New Methods for Chaotic Dynamics by : Nikolai Aleksandrovich Magnitskii

Download or read book New Methods for Chaotic Dynamics written by Nikolai Aleksandrovich Magnitskii and published by World Scientific. This book was released on 2006 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments. The transition is described from the Feigenbaum cascade of period doubling bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations. The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations. Sample Chapter(s). Chapter 1: Systems of Ordinary Differential Equations (1,736 KB). Contents: Systems of Ordinary Differential Equations; Bifurcations in Nonlinear Systems of Ordinary Differential Equations; Chaotic Systems of Ordinary Differential Equations; Principles of the Theory of Dynamical Chaos in Dissipative Systems of Ordinary Differential Equations; Dynamical Chaos in Infinitely-Dimensional Systems of Differential Equations; Chaos Control in Systems of Differential Equations. Readership: Graduate students and researchers in complex and chaotic dynamical systems.

Dynamical Modeling and Analysis of Epidemics

Author : Zhien Ma
Publisher : World Scientific
ISBN 13 : 9812797505
Total Pages : 513 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Dynamical Modeling and Analysis of Epidemics by : Zhien Ma

Download or read book Dynamical Modeling and Analysis of Epidemics written by Zhien Ma and published by World Scientific. This book was released on 2009 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.

Discrete and Continuous Dynamical Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 548 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 2007 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Mathematical Modeling of Infectious Diseases

Author : Michael Y. Li
Publisher : Springer
ISBN 13 : 3319721224
Total Pages : 163 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis An Introduction to Mathematical Modeling of Infectious Diseases by : Michael Y. Li

Download or read book An Introduction to Mathematical Modeling of Infectious Diseases written by Michael Y. Li and published by Springer. This book was released on 2018-01-30 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.