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21 Lowenstein, John H Pseudochaotic Kicked Oscillators I06214 2012 eBook  
22 Alexander N Gorban (ed.) Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena I06053 2006 eBook  
23 Bolotin, Yurii Chaos: Concepts, Control and Constructive Use I06034 2009 eBook  
24 Luo, Albert C. J Long-range Interactions, Stochasticity and Fractional Dynamics I06027 2010 eBook  
25 Ivancevic, Vladimir G High-Dimensional Chaotic and Attractor Systems I05895 2007 eBook  
26 Thiel, Marco Nonlinear Dynamics and Chaos: Advances and Perspectives I05636 2010 eBook  
27 Luo, Albert C. J Hamiltonian Chaos Beyond the KAM Theory I05457 2010 eBook  
28 Phaf, R.H Learning in Natural and Connectionist Systems I05234 1994 eBook  
29 Tu, Pierre N.V Dynamical Systems I05067 1994 eBook  
30 Ciarlet, P.G Trends and Applications of Pure Mathematics to Mechanics I04768 1984 eBook  
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21.    
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TitlePseudochaotic Kicked Oscillators : Renormalization, Symbolic Dynamics, and Transport
Author(s)Lowenstein, John H
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2012.
DescriptionXII, 215 p. 125 illus., 22 illus. in color : online resource
Abstract Note"Pseudochaotic Kicked Oscillators: Renormalization, Symbolic Dynamics, and Transport" presents recent developments in pseudochaos, which is concerned with complex branching behaviors of dynamical systems at the interface between orderly and chaotic motion. Pseudochaos is characterized by the trapping of orbits in the vicinity of self-similar hierarchies of islands of stability, producing phase-space displacements which increase asymptotically as a power of time. This monograph is a thorough, self-contained investigation of a simple one-dimensional model (a kicked harmonic oscillator) which exhibits pseudochaos in its purest form. It is intended for graduate students and researchers in physics and applied mathematics, as well as specialists in nonlinear dynamics. ?? Dr. John H. Lowenstein is a Professor Emeritus in the Department of Physics at New York University, USA
ISBN,Price9783642281549
Keyword(s)1. Applications of Mathematics 2. Applications of Nonlinear Dynamics and Chaos Theory 3. APPLIED MATHEMATICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Mathematical Methods in Physics 8. PHYSICS 9. STATISTICAL PHYSICS 10. SYSTEM THEORY 11. Systems Theory, Control
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22.     
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TitleModel Reduction and Coarse-Graining Approaches for Multiscale Phenomena
Author(s)Alexander N Gorban (ed.);Nikolas Kazantzis (ed.);I. G. Kevrekidis (ed.);Hans Christian Ottinger (ed.);Theodoropoulos, Konstantinos
PublicationBerlin, Springer Berlin Heidelberg, 2006.
DescriptionXI, 560 p : online resource
Abstract NoteModel reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. Specific areas of study include dynamical systems, non-equilibrium statistical mechanics, kinetic theory, hydrodynamics and mechanics of continuous media, (bio)chemical kinetics, nonlinear dynamics, nonlinear control, nonlinear estimation, and particulate systems from various branches of engineering. The generic nature and the power of the pertinent conceptual, analytical and computational frameworks helps eliminate some of the traditional language barriers, which often unnecessarily impede scientific progress and the interaction of researchers between disciplines such as physics, chemistry, biology, applied mathematics and engineering. All contributions are authored by experts, whose specialities span a wide range of fields within science and engineering
ISBN,Price9783540358886
Keyword(s)1. Chemometrics 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING 7. Engineering, general 8. Math. Applications in Chemistry 9. MATHEMATICAL PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. SYSTEM THEORY 13. Systems Theory, Control 14. Theoretical, Mathematical and Computational Physics
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23.     
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TitleChaos: Concepts, Control and Constructive Use
Author(s)Bolotin, Yurii;Tur, Anatoli;Yanovsky, Vladimir
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionVIII, 198 p. 90 illus : online resource
Abstract NoteThe study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climate change, to the functioning of brownian motors in cells. A more recent discovery is that chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter itself for the system under investigation, stochastic resonance being a prime example. The present work is putting emphasis on the latter aspects, and after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing relevant algorithms for both Hamiltonian and dissipative systems amongst others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance and a survey of ratchet models. This short and concise primer is particularly suitable for postgraduate students and non-specialist scientists from related areas, wishing to enter the field quickly and efficiently
ISBN,Price9783642009372
Keyword(s)1. COMPLEX SYSTEMS 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems 10. SYSTEM THEORY 11. Systems Theory, Control 12. VIBRATION 13. Vibration, Dynamical Systems, Control
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24.     
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TitleLong-range Interactions, Stochasticity and Fractional Dynamics : Dedicated to George M. Zaslavsky (1935???2008)
Author(s)Luo, Albert C. J;Afraimovich, Valentin
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXVII, 311 p : online resource
Abstract NoteIn memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments of long-range interaction, fractional dynamics, brain dynamics and stochastic theory of turbulence, each chapter was written by established scientists in the field. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. The book discusses self-similarity and stochasticity and fractionality for discrete and continuous dynamical systems, as well as long-range interactions and diluted networks. A comprehensive theory for brain dynamics is also presented. In addition, the complexity and stochasticity for soliton chains and turbulence are addressed. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico
ISBN,Price9783642123436
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. STATISTICAL PHYSICS 7. SYSTEM THEORY 8. Systems Theory, Control 9. VIBRATION 10. Vibration, Dynamical Systems, Control
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25.     
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TitleHigh-Dimensional Chaotic and Attractor Systems : A Comprehensive Introduction
Author(s)Ivancevic, Vladimir G;Ivancevic, Tijana T
PublicationDordrecht, Springer Netherlands, 2007.
DescriptionXV, 697 p : online resource
Abstract NoteIf we try to describe real world in mathematical terms, we will see that real life is very often a high???dimensional chaos. Sometimes, by ???pushing hard???, we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be able to still live successfully, we need tounderstand, predict, and ultimately control this high???dimensional chaotic dynamics of life. This is the main theme of the present book. In our previous book, Geometrical - namics of Complex Systems, Vol. 31 in Springer book series Microprocessor??? Based and Intelligent Systems Engineering, we developed the most powerful mathematical machinery to deal with high???dimensional nonlinear dynamics. In the present text, we consider the extreme cases of nonlinear dynamics, the high???dimensional chaotic and other attractor systems. Although they might look as examples of complete disorder ??? they still represent control systems, with their inputs, outputs, states, feedbacks, and stability. Today, we can see a number of nice books devoted to nonlinear dyn- ics and chaos theory (see our reference list). However, all these books are only undergraduate, introductory texts, that are concerned exclusively with oversimpli?ed low???dimensional chaos, thus providing only an inspiration for the readers to actually throw themselves into the real???life chaotic dynamics
ISBN,Price9781402054563
Keyword(s)1. APPLIED MATHEMATICS 2. Biomedical engineering 3. Biomedical Engineering and Bioengineering 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. Mathematical and Computational Engineering 10. Mathematical Methods in Physics 11. PHYSICS 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. SYSTEM THEORY 15. Systems Theory, Control
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26.     
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TitleNonlinear Dynamics and Chaos: Advances and Perspectives
Author(s)Thiel, Marco;Kurths, J??rgen;Romano, M. Carmen;K??rolyi, Gy??rgy;Moura, Alessandro
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXV, 293 p. 16 illus. in color : online resource
Abstract NoteThis 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,Price9783642046292
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
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27.     
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TitleHamiltonian Chaos Beyond the KAM Theory : Dedicated to George M. Zaslavsky (1935???2008)
Author(s)Luo, Albert C. J;Afraimovich, Valentin
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXVIII, 292 p : online resource
Abstract Note???Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935???2008)??? covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico
ISBN,Price9783642127182
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. STATISTICAL PHYSICS 7. SYSTEM THEORY 8. Systems Theory, Control 9. VIBRATION 10. Vibration, Dynamical Systems, Control
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28.     
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TitleLearning in Natural and Connectionist Systems : Experiments and a Model
Author(s)Phaf, R.H
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXVI, 294 p : online resource
Abstract NoteModern research in neural networks has led to powerful artificial learning systems, while recent work in the psychology of human memory has revealed much about how natural systems really learn, including the role of unconscious, implicit, memory processes. Regrettably, the two approaches typically ignore each other. This book, combining the approaches, should contribute to their mutual benefit. New empirical work is presented showing dissociations between implicit and explicit memory performance. Recently proposed explanations for such data lead to a new connectionist learning procedure: CALM (Categorizing and Learning Module), which can learn with or without supervision, and shows practical advantages over many existing procedures. Specific experiments are simulated by a network model (ELAN) composed of CALM modules. A working memory extension to the model is also discussed that could give it symbol manipulation abilities. The book will be of interest to memory psychologists and connectionists, as well as to cognitive scientists who in the past have tended to restrict themselves to symbolic models
ISBN,Price9789401108409
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Methodology of the Social Sciences 6. Neurology 7. Neurology?? 8. SOCIAL SCIENCES 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. SYSTEM THEORY 12. Systems Theory, Control
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29.     
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TitleDynamical Systems : An Introduction with Applications in Economics and Biology
Author(s)Tu, Pierre N.V
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1994.
DescriptionXVIII, 314 p : online resource
Abstract NoteThe favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition. This provides the opportunity for correcting a number of errors, typographical and others, contained in the first edition and making further improvements. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter 10. Apart from this, most others - in fact all except the first three and last chapters - have been revised and enlarged to bring in some new materials, elaborate some others, especially those sections which many readers felt were rather too concise in the first edition, by providing more explana?? tion, examples and applications. Chapter 11 provides some good examples of this. Another example may be found in Chapter 4 where the review of Linear Algebra has been enlarged to incorporate further materials needed in this edition, for example the last section on idempotent matrices and projection would prove very useful to follow Liapunov-Schmidt reduction theory presented in Chapter 9
ISBN,Price9783642787935
Keyword(s)1. BIOMATHEMATICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. ECONOMIC THEORY 7. Economic Theory/Quantitative Economics/Mathematical Methods 8. Mathematical and Computational Biology 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. STATISTICAL PHYSICS 12. Statistics for Life Sciences, Medicine, Health Sciences 13. Statistics?? 14. SYSTEM THEORY 15. Systems Theory, Control
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30.    
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TitleTrends and Applications of Pure Mathematics to Mechanics : Invited and Contributed Papers presented at a Symposium at Ecole Polytechnique, Palaiseau, France, November 28 ??? December 2, 1983
Author(s)Ciarlet, P.G;Roseau, M
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionV, 422 p. 27 illus : online resource
ISBN,Price9783540388005
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CLASSICAL MECHANICS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MECHANICS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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