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21 West, Bruce Physics of Fractal Operators I10945 2003 eBook  
22 Strzalko, Jaroslaw Dynamics of Gambling: Origins of Randomness in Mechanical Systems I08381 2009 eBook  
23 Yoshida, Zensho Nonlinear Science I08275 2010 eBook  
24 Wimberger, Sandro Nonlinear Dynamics and Quantum Chaos I08207 2014 eBook  
25 Gallavotti, Giovanni The Fermi-Pasta-Ulam Problem I08054 2008 eBook  
26 Iordache, Octavian Polystochastic Models for Complexity I08039 2010 eBook  
27 Strauch, Dieter Classical Mechanics I07907 2009 eBook  
28 Scheck, Florian Mechanics I07628 2010 eBook  
29 Luo, Albert C. J Nonlinear Deformable-body Dynamics I07616 2010 eBook  
30 Baglio, Salvatore Device Applications of Nonlinear Dynamics I07602 2006 eBook  
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21.    
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TitlePhysics of Fractal Operators
Author(s)West, Bruce;Bologna, Mauro;Grigolini, Paolo
PublicationNew York, NY, Springer New York, 2003.
DescriptionX, 354 p. 23 illus : online resource
Abstract NoteThis text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials
ISBN,Price9780387217468
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. QUANTUM PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems
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22.     
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TitleDynamics of Gambling: Origins of Randomness in Mechanical Systems
Author(s)Strzalko, Jaroslaw;Grabski, Juliusz;Perlikowski, Przemyslaw;Stefanski, Andrzej;Kapitaniak, Tomasz
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionX, 152 p. 94 illus : online resource
Abstract NoteThis monograph presents a concise discussion of the dynamics of mechanical randomizers (coin tossing, die throw and roulette). The authors derive the equations of motion, also describing collisions and body contacts. It is shown and emphasized that, from the dynamical point of view, outcomes are predictable, i.e. if an experienced player can reproduce initial conditions with a small finite uncertainty, there is a good chance that the desired final state will be obtained. Finally, readers learn why mechanical randomizers can approximate random processes and benefit from a discussion of the nature of randomness in mechanical systems. In summary, the book not only provides a general analysis of random effects in mechanical (engineering) systems, but addresses deep questions concerning the nature of randomness, and gives potentially useful tips for gamblers and the gaming industry
ISBN,Price9783642039607
Keyword(s)1. CLASSICAL MECHANICS 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ERGODIC THEORY 8. GAME THEORY 9. Game Theory, Economics, Social and Behav. Sciences 10. MATHEMATICAL PHYSICS 11. MECHANICS 12. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences 13. Statistics?? 14. Theoretical, Mathematical and Computational Physics 15. VIBRATION 16. Vibration, Dynamical Systems, Control
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23.     
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TitleNonlinear Science : The Challenge of Complex Systems
Author(s)Yoshida, Zensho
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXI, 211 p : online resource
Abstract NoteThis book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and scale hierarchy, "nonlinear science" is explained as a challenge of deconstruction of the modern sciences. This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena. By critically analyzing the structure of linear theories, and clarifying their limitation, this book makes the meaning of "nonlinear" (and, at the same time, of "linear") precise and concrete. The core material is accessible to a much broader audience beyond specialists. It also includes notes that describe more advanced materials for extended studies which might be rather non-trivial for specialists in physics and mathematics
ISBN,Price9783642034060
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
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24.     
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TitleNonlinear Dynamics and Quantum Chaos : An Introduction
Author(s)Wimberger, Sandro
PublicationCham, Springer International Publishing, 2014.
DescriptionXIII, 206 p. 75 illus., 7 illus. in color : online resource
Abstract NoteThe field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field
ISBN,Price9783319063430
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. CLASSICAL MECHANICS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ERGODIC THEORY 8. Mathematical Methods in Physics 9. MECHANICS 10. PHYSICS 11. STATISTICAL PHYSICS
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25.     
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TitleThe Fermi-Pasta-Ulam Problem : A Status Report
Author(s)Gallavotti, Giovanni
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionVII, 301 p : online resource
Abstract NoteThe apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of one-dimensional chains, descriptions of numerical methods, heuristic theories, addressing the "long standing and controversial problem of distinguishing chaos from noise in signal analysis," metastability, the relation of the FPU motions with the integrable equations, approaches using methods of perturbation theory and the proof of the applicability of KAM theory in FPU chains with energy very close to a minimum. For the convenience of the reader the original work of FPU is reprinted in an appendix. The order of the contributions reflects the aim of leading the interested but inexperienced reader through gradual understanding, starting from general analysis, and proceeding towards more specialized topics
ISBN,Price9783540729952
Keyword(s)1. CLASSICAL MECHANICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ERGODIC THEORY 9. MATHEMATICAL PHYSICS 10. MECHANICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theoretical, Mathematical and Computational Physics
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26.     
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TitlePolystochastic Models for Complexity
Author(s)Iordache, Octavian
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXX, 298 p. 94 illus : online resource
Abstract NoteThis book is devoted to complexity understanding and management, considered as the main source of efficiency and prosperity for the next decades. Divided into six chapters, the book begins with a presentation of basic concepts as complexity, emergence and closure. The second chapter looks to methods and introduces polystochastic models, the wave equation, possibilities and entropy. The third chapter focusing on physical and chemical systems analyzes flow-sheet synthesis, cyclic operations of separation, drug delivery systems and entropy production. Biomimetic systems represent the main objective of the fourth chapter. Case studies refer to bio-inspired calculation methods, to the role of artificial genetic codes, neural networks and neural codes for evolutionary calculus and for evolvable circuits as biomimetic devices. The fifth chapter, taking its inspiration from systems sciences and cognitive sciences looks to engineering design, case base reasoning methods, failure analysis, and multi-agent manufacturing systems. Perspectives and integrative points of view are discussed in the sixth chapter with reference to the classification of sciences, cybernetics and its extensions, and to transdisciplinarity and categorification. Written for: engineers, researchers, and students in chemical, biochemical, computing and systems science engineering, in neuroscience, psychology, philosophy and mathematics
ISBN,Price9783642106545
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. DYNAMICAL SYSTEMS 6. Dynamical Systems and Ergodic Theory 7. DYNAMICS 8. EBOOK 9. EBOOK - SPRINGER 10. ERGODIC THEORY 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems
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27.     
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TitleClassical Mechanics : An Introduction
Author(s)Strauch, Dieter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionXXI, 405 p : online resource
Abstract NoteThis upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author's writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. So the text is thus structured around developments of the main ideas, explicit proofs, and numerous clarifications, comments and applications. Numerous examples illustrate the material and often present alternative approaches to the final results. Frequent references are made linking mechanics to other fields of physics. These lecture notes have been used frequently by students to prepare for written and/or oral examinations. Summaries and problems conclude chapters and appendices supply needed background topics
ISBN,Price9783540736165
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. ERGODIC THEORY 10. GEOMETRY 11. Mathematical Methods in Physics 12. MECHANICS 13. Mechanics, Applied 14. PHYSICS 15. Theoretical and Applied Mechanics
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28.     
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TitleMechanics : From Newton's Laws to Deterministic Chaos
Author(s)Scheck, Florian
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXVI, 547 p. 174 illus : online resource
Abstract NoteThis book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem. Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics. The book contains more than 120 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
ISBN,Price9783642053702
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. ERGODIC THEORY 10. Mathematical Methods in Physics 11. MECHANICS 12. Mechanics, Applied 13. PHYSICS 14. Theoretical and Applied Mechanics
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29.     
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TitleNonlinear Deformable-body Dynamics
Author(s)Luo, Albert C. J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
Description430 p. 61 illus., 10 illus. in color : online resource
Abstract Note"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids
ISBN,Price9783642121364
Keyword(s)1. Classical and Continuum Physics 2. CLASSICAL MECHANICS 3. COMPLEX SYSTEMS 4. Continuum physics 5. DYNAMICAL SYSTEMS 6. Dynamical Systems and Ergodic Theory 7. DYNAMICS 8. EBOOK 9. EBOOK - SPRINGER 10. ERGODIC THEORY 11. MECHANICS 12. Mechanics, Applied 13. Solid Mechanics 14. STATISTICAL PHYSICS 15. Statistical Physics and Dynamical Systems
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30.    
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TitleDevice Applications of Nonlinear Dynamics
Author(s)Baglio, Salvatore;Bulsara, Adi
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXI, 241 p : online resource
Abstract NoteThis edited book is devoted specifically to the applications of complex nonlinear dynamic phenomena to real systems and device applications. While in the past decades there has been significant progress in the theory of nonlinear phenomena under an assortment of system boundary conditions and preparations, there exist comparatively few devices that actually take this rich behavior into account. "Device Applications of Nonlinear Dynamics" applies and exploits this knowledge to make devices which operate more efficiently and cheaply, while affording the promise of much better performance. Given the current explosion of ideas in areas as diverse as molecular motors, nonlinear filtering theory, noise-enhanced propagation, stochastic resonance and networked systems, the time is right to integrate the progress of complex systems research into real devices
ISBN,Price9783540338789
Keyword(s)1. APPLIED MATHEMATICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. ERGODIC THEORY 10. Mathematical and Computational Engineering 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems 13. VIBRATION 14. Vibration, Dynamical Systems, Control
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