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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 |
|
| 65 |
Mou-Hsiung Chang |
Quantum stochastics |
026054 |
2015 |
Book |
|
| 66 |
Vladimir Igorevich Arnold |
Ergodic problems of classical mechanics |
010981 |
1989 |
Book |
|
| 67 |
David Ruelle |
Chaotic evolution and strange attractors: The statistical analysis of time series for deterministic nonlinear systems |
002125 |
1989 |
Book |
|
| 68 |
J. Peter Nicholls |
Ergodic theory of discreate groups |
001312 |
1989 |
Book |
|
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|
61.
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| 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 |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05636 |
|
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On Shelf |
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62.
 |
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| 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 (reaction-diffusion 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 Korteweg-de Vries equation, the H??non-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion 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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05621 |
|
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On Shelf |
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63.
|
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| 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 Kolmogorov-Sinai 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 so-called 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 K-systems. 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 non-trivial 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I04072 |
|
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On Shelf |
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64.
|
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| 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 theory-such as dimension and Lyapunov exponentsestimation, chaosand nonlinear pre?? diction, and noise reduction-have 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 upper-level undergraduate or graduate-level 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 step-by-stepderivations. Anyone with an understanding ofbasic differential equations and matrix theory should follow the text without difficulty. The book was designed to be self-contained. 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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I00247 |
|
|
On Shelf |
|
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65.
|
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| Title | Quantum stochastics |
| Author(s) | Mou-Hsiung Chang |
| Publication | Cambridge, Cambridge University Press, 2015. |
| Description | xii, 412p. |
| Series | (Cambridge Series in Statistical and Probabilistic Mathematics) |
| Abstract Note | Description Contents Resources Courses About the Authors
The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. This book is a systematic, self-contained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and classical Markov processes. From there, the book introduces additional tools from analysis, and then builds the quantum probability framework needed to support applications to quantum control and quantum information and communication. These include quantum noise, quantum stochastic calculus, stochastic quantum differential equations, quantum Markov semigroups and processes, and large-time asymptotic behavior of quantum Markov semigroups. |
| ISBN,Price | 9781107069190 : UKP 55.00(HB) |
| Classification | 519.21
|
| Keyword(s) | 1. ERGODIC THEORY
2. QUANTUM MARKOV PROCESSES
3. QUANTUM PROBABILITY
4. QUANTUM STOCHASTIC
|
| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 026054 |
|
519.21/CHA/026054 |
On Shelf |
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+Copy Specific Information | |