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Author  Title  Accn#  Year  Item Type  Claims 
61 
Thiel, Marco 
Nonlinear Dynamics and Chaos: Advances and Perspectives 
I05636 
2010 
eBook 

62 
Conte, Robert M 
The Painlev?? Handbook 
I05621 
2008 
eBook 

63 
Benatti, Fabio 
Deterministic Chaos in Infinite Quantum Systems 
I04072 
1993 
eBook 

64 
Tsonis, A.A 
Chaos 
I00247 
1992 
eBook 


61.


Title  Nonlinear Dynamics and Chaos: Advances and Perspectives 
Author(s)  Thiel, Marco;Kurths, J??rgen;Romano, M. Carmen;K??rolyi, Gy??rgy;Moura, Alessandro 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. 
Description  XV, 293 p. 16 illus. in color : online resource 
Abstract Note  This book is a collection of contributions on various aspects of active frontier research in the field of dynamical systems and chaos. Each chapter examines a specific research topic and, in addition to reviewing recent results, also discusses future perspectives. The result is an invaluable snapshot of the state of the field by some of its most important researchers. The first contribution in this book, "How did you get into Chaos?", is actually a collection of personal accounts by a number of distinguished scientists on how they entered the field of chaos and dynamical systems, featuring comments and recollections by James Yorke, Harry Swinney, Floris Takens, Peter Grassberger, Edward Ott, Lou Pecora, Itamar Procaccia, Michael Berry, Giulio Casati, Valentin Afraimovich, Robert MacKay, and last but not least, Celso Grebogi, to whom this volume is dedicated. 
ISBN,Price  9783642046292 
Keyword(s)  1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. ERGODIC THEORY
8. STATISTICAL PHYSICS
9. Statistical Physics and Dynamical Systems
10. SYSTEM THEORY
11. Systems Theory, Control
12. VIBRATION
13. Vibration, Dynamical Systems, Control

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I05636 


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62.


Title  The Painlev?? Handbook 
Author(s)  Conte, Robert M;Musette, Micheline 
Publication  Dordrecht, Springer Netherlands, 2008. 
Description  XXIII, 256 p : online resource 
Abstract Note  Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reactiondiffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlev?? test. If the equation under study passes the Painlev?? test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schr??dinger equation (continuous and discrete), the Kortewegde Vries equation, the H??nonHeiles Hamiltonians, on the nonintegrable side the complex GinzburgLandau equation (encountered in optical fibers, turbulence, etc), the KuramotoSivashinsky equation (phase turbulence), the KolmogorovPetrovskiPiskunov equation (KPP, a reactiondiffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research 
ISBN,Price  9781402084911 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. DIFFERENTIAL EQUATIONS
4. Dynamical Systems and Ergodic Theory
5. DYNAMICS
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MATHEMATICS
9. ERGODIC THEORY
10. Math. Applications in Chemistry
11. Mathematical and Computational Engineering
12. Mathematical Methods in Physics
13. ORDINARY DIFFERENTIAL EQUATIONS
14. PARTIAL DIFFERENTIAL EQUATIONS
15. PHYSICS

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I05621 


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63.


Title  Deterministic Chaos in Infinite Quantum Systems 
Author(s)  Benatti, Fabio 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1993. 
Description  VI, 225 p : online resource 
Abstract Note  The purpose of this volume is to give a detailed account of a series of re?? sults concerning some ergodic questions of quantum mechanics which have the past six years following the formulation of a generalized been addressed in KolmogorovSinai entropy by A.Connes, H.Narnhofer and W.Thirring. Classical ergodicity and mixing are fully developed topics of mathematical physics dealing with the lowest levels in a hierarchy of increasingly random behaviours with the socalled Bernoulli systems at its apex showing a structure that characterizes them as Kolmogorov (K) systems. It seems not only reasonable, but also inevitable to use classical ergodic theory as a guide in the study of ergodic behaviours of quantum systems. The question is which kind of random behaviours quantum systems can exhibit and whether there is any way of classifying them. Asymptotic statistical independence and, correspondingly, complete lack of control over the distant future are typical features of classical Ksystems. These properties are fully characterized by the dynamical entropy of Kolmogorov and Sinai, so that the introduction of a similar concept for quantum systems has provided the opportunity of raising meaningful questions and of proposing some nontrivial answers to them. Since in the following we shall be mainly concerned with infinite quantum systems, the algebraic approach to quantum theory will provide us with the necessary analytical tools which can be used in the commutative context, too 
ISBN,Price  9783642849992 
Keyword(s)  1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. Elementary particles (Physics)
8. Elementary Particles, Quantum Field Theory
9. ERGODIC THEORY
10. QUANTUM COMPUTERS
11. QUANTUM FIELD THEORY
12. Quantum Information Technology, Spintronics
13. QUANTUM PHYSICS
14. SPINTRONICS
15. STATISTICAL PHYSICS
16. THERMODYNAMICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I04072 


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64.
 
Title  Chaos : From Theory to Applications 
Author(s)  Tsonis, A.A 
Publication  New York, NY, Springer US, 1992. 
Description  XII, 274 p : online resource 
Abstract Note  Based on chaos theory two very important points are clear: (I) random?? looking aperiodic behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. The theoretical aspects ofchaos have been presented in great detail in several excellent books published in the last five years or so. However, while the problems associated with applications of the theorysuch as dimension and Lyapunov exponentsestimation, chaosand nonlinear pre?? diction, and noise reductionhave been discussed in workshops and ar?? ticles, they have not been presented in book form. This book has been prepared to fill this gap between theory and ap?? plicationsand to assist studentsand scientists wishingto apply ideas from the theory ofnonlinear dynamical systems to problems from their areas of interest. The book is intended to be used as a text for an upperlevel undergraduate or graduatelevel course, as well as a reference source for researchers. My philosophy behind writing this book was to keep it simple and informative without compromising accuracy. I have made an effort to presentthe conceptsby usingsimplesystemsand stepbystepderivations. Anyone with an understanding ofbasic differential equations and matrix theory should follow the text without difficulty. The book was designed to be selfcontained. When applicable, examples accompany the theory. The reader will notice, however, that in the later chapters specific examples become less frequent. This is purposely done in the hope that individuals will draw on their own ideas and research projects for examples 
ISBN,Price  9781461533603 
Keyword(s)  1. Applications of Nonlinear Dynamics and Chaos Theory
2. Characterization and Evaluation of Materials
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. ERGODIC THEORY
8. MATERIALS SCIENCE
9. STATISTICAL PHYSICS

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
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