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1 Ferraz-Mello, Sylvio Chaotic Dynamics in Planetary Systems I12927 2023 eBook  
2 Yang, Zining Proceedings of the 2022 Conference of The Computational Social Science Society of the Americas I12855 2023 eBook  
3 Benatti, Fabio Dynamics, Information and Complexity in Quantum Systems I12811 2023 eBook  
4 Leonel, Edson Denis Dynamical Phase Transitions in Chaotic Systems I12794 2023 eBook  
5 Pismen, Len Patterns and Interfaces in Dissipative Dynamics I12732 2023 eBook  
6 Dil??o, Rui Dynamical System and Chaos I12698 2023 eBook  
7 Luo, Albert C. J Two-Dimensional Quadratic Nonlinear Systems I12627 2023 eBook  
8 Pisarchik, Alexander N Multistability in Physical and Living Systems I12538 2022 Book  
9 Kenkre, V. M. (Nitant) Interplay of Quantum Mechanics and Nonlinearity I12518 2022 Book  
10 Lakshmibala, S Nonclassical Effects and Dynamics of Quantum Observables I12454 2022 Book  
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TitleChaotic Dynamics in Planetary Systems
Author(s)Ferraz-Mello, Sylvio
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXI, 167 p. 1 illus : online resource
Abstract NoteThe main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems and their application to astronomical systems. It results from graduate courses given by the author over the years both at university and at several international summer schools. Along the book surfaces of section, Lyapunov characteristic exponents, frequency maps, MEGNO, dense grid maps, etc., are presented and discussed in connection with the applications. The initial chapter is devoted to the presentation of the main ideas of the chaotic dynamics of conservative systems in plain language so that they can be accessible to a wide range of professionals and students of physical sciences. The applications are mainly related to the motions in the solar system and extrasolar planetary systems. Another chapter is devoted to the applications to asteroids showing how the asteroidal belt is sculpted by chaos and resonances. The contrasting existence of gaps in the distribution of the asteroids and groups of asteroids in resonances is thoroughly discussed. The interest in applications to planetary systems is growing since the discovery of systems of resonant planets around some stars of the solar neighborhood. Exoplanets added a lot of cases to a problem that was before restricted to the planets of our solar system. The book includes an account of results already existing about compact systems
ISBN,Price9783031458163
Keyword(s)1. ASTROPHYSICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK - SPRINGER 5. PLANETARY SCIENCE 6. SYSTEM THEORY
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TitleProceedings of the 2022 Conference of The Computational Social Science Society of the Americas
Author(s)Yang, Zining;N????ez-Corrales, Santiago
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXI, 234 p. 106 illus., 90 illus. in color : online resource
Abstract NoteThis book contains a selection of the latest research in the field of computational social science (CSS) methods, uses, and results, as presented at the 2022 annual conference of the Computational Social Science Society of the Americas (CSSSA). Computational social science (CSS) is the science that investigates social and behavioral dynamics through social simulation, social network analysis, and social media analysis. The CSSSA is a professional society that aims to advance the field of computational social science in all areas, including basic and applied orientations, by holding conferences and workshops, promoting standards of scientific excellence in research and teaching, and publishing research findings and results
ISBN,Price9783031375538
Keyword(s)1. Agent-based Economics 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK - SPRINGER 5. Network Research 6. Schools of economics 7. SOCIAL SCIENCES 8. SYSTEM THEORY
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TitleDynamics, Information and Complexity in Quantum Systems
Author(s)Benatti, Fabio
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXIV, 618 p. 21 illus : online resource
Abstract NoteThis second edition of Dynamics, Information and Complexity in Quantum Systems widens its scope by focussing more on the dynamics of quantum correlations and information in microscopic and mesoscopic systems, and their use for metrological and machine learning purposes. The book is divided into three parts: Part One: Classical Dynamical Systems Addresses classical dynamical systems, classical dynamical entropy, and classical algorithmic complexity. Includes a survey of the theory of simple perceptrons and their storage capacity. Part Two: Quantum Dynamical Systems Focuses on the dynamics of entanglement under dissipative dynamics and its metrological use in finite level quantum systems. Discusses the quantum fluctuation approach to large-scale mesoscopic systems and their emergent dynamics in quantum systems with infinitely many degrees of freedom. Introduces a model of quantum perceptron whose storage capacity is computed and compared with the classical one. Part Three: Quantum Dynamical Entropies and Complexities Devoted to quantum dynamical entropies and algorithmic complexities. This book is meant for advanced students, young and senior researchers working in the fields of quantum statistical mechanics, quantum information, and quantum dynamical systems. It is self-contained, and the only prerequisites needed are a standard knowledge of statistical mechanics, quantum mechanics, and linear operators on Hilbert spaces
ISBN,Price9783031342486
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK - SPRINGER 4. Quantum computing 5. QUANTUM INFORMATION 6. QUANTUM PHYSICS 7. STATISTICAL PHYSICS 8. SYSTEM THEORY
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TitleDynamical Phase Transitions in Chaotic Systems
Author(s)Leonel, Edson Denis
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXVI, 74 p. 23 illus., 16 illus. in color : online resource
Abstract NoteThis book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering
ISBN,Price9789819922444
Keyword(s)1. CONDENSED MATTER 2. DYNAMICAL SYSTEMS 3. EBOOK - SPRINGER 4. MATHEMATICAL ANALYSIS 5. Phase Transitions and Multiphase Systems 6. SCALE INVARIANCE
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TitlePatterns and Interfaces in Dissipative Dynamics : Revised and Extended, Now also Covering Patterns of Active Matter
Author(s)Pismen, Len
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXVII, 386 p. 171 illus., 58 illus. in color : online resource
Abstract NoteSpontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. Since the publication of the first edition, applications of the theory of nonlinear dynamics have been substantially extended to the novel area of active systems, largely motivated by problems of biophysics and biomorphic technology. These problems typically involve media with internal orientation. This new edition incorporates a chapter discussing dynamics of liquids and soft solids with internal orientation, including special features of their instabilities and motion of topological defects, which form the background for various applications to the motion of cells, tissues, and activated soft materials. The contents of the first edition have also been substantially reworked, improving graphics, emphasizing more complex secondary instabilities, and dropping some material pertaining to dynamical systems. This book caters for graduate students and young researchers from many pertinent areas including applied mathematics, physical chemistry, chemical engineering and biophysics, as well as the seasoned scientist in search of a modern source of reference
ISBN,Price9783031295799
Keyword(s)1. BIOPHYSICS 2. Chemometrics 3. Classical and Continuum Physics 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK - SPRINGER 7. Mathematical Applications in Chemistry 8. Pattern Formation 9. Pattern formation (Biology) 10. PHYSICS 11. SYSTEM THEORY
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TitleDynamical System and Chaos : An Introduction with Applications
Author(s)Dil??o, Rui
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionIX, 326 p. 211 illus., 10 illus. in color : online resource
Abstract NoteThis textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful. The first part is an introductory course on dynamical systems theory. It can be taught at the master's level during one semester, not requiring specialized mathematical training. In the second part, the author describes some applications of the theory of dynamical systems. Topics often appear in modern dynamical systems and complexity theories, such as singular perturbation theory, delayed equations, cellular automata, fractal sets, maps of the complex plane, and stochastic iterations of function systems are briefly explored for advanced students. The author also explores applications in mechanics, electromagnetism, celestial mechanics, nonlinear control theory, and macroeconomy. A set of problems consolidating the knowledge of the different subjects, including more elaborated exercises, are provided for all chapters
ISBN,Price9783031251542
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. SYSTEM THEORY
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TitleTwo-Dimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields
Author(s)Luo, Albert C. J
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXIII, 685 p. 121 illus., 84 illus. in color : online resource
Abstract NoteThis book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert???s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering
ISBN,Price9789811678738
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. Control and Systems Theory 4. Control engineering 5. DIFFERENTIAL EQUATIONS 6. DYNAMICAL SYSTEMS 7. DYNAMICS 8. EBOOK - SPRINGER 9. NONLINEAR THEORIES 10. SYSTEM THEORY
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8.     
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TitleMultistability in Physical and Living Systems : Characterization and Applications
Author(s)Pisarchik, Alexander N;Hramov, Alexander E
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVI, 408 p. 247 illus., 144 illus. in color : online resource
Abstract NoteThis book starts with an introduction to the basic concepts of multistability, then illustrates how multistability arises in different systems and explains the main mechanisms of multistability emergence. A special attention is given to noise which can convert a multistable deterministic system to a monostable stochastic one. Furthermore, the most important applications of multistability in different areas of science, engineering and technology are given attention throughout the book, including electronic circuits, lasers, secure communication, and human perception. The book aims to provide a first approach to multistability for readers, who are interested in understanding its fundamental concepts and applications in several fields. This book will be useful not only to researchers and engineers focusing on interdisciplinary studies, but also to graduate students and technicians. Both theoreticians and experimentalists will rely on it, in fields ranging from mathematics and laser physics to neuroscience and astronomy. The book is intended to fill a gap in the literature, to stimulate new discussions and bring some fundamental issues to a deeper level of understanding of the mechanisms underlying self-organization of matter and world complexity
ISBN,Price9783030983963
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Models of Cognitive Processes and Neural Networks 6. Neural networks (Computer science)?? 7. PLASMA WAVES 8. SYSTEM THEORY 9. Waves, instabilities and nonlinear plasma dynamics
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9.     
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TitleInterplay of Quantum Mechanics and Nonlinearity : Understanding Small-System Dynamics of the Discrete Nonlinear Schr??dinger Equation
Author(s)Kenkre, V. M. (Nitant)
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXVI, 310 p. 114 illus., 34 illus. in color : online resource
Abstract NoteThis book presents an in-depth study of the discrete nonlinear Schr??dinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and Bose-Einstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrier-phonon interactions and Bose-Einstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader???s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and low-temperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics
ISBN,Price9783030948115
Keyword(s)1. Bose-Einstein Condensate 2. BOSE-EINSTEIN CONDENSATION 3. DIFFERENTIAL EQUATIONS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. Electronic materials 8. Electronics???Materials 9. MATHEMATICAL PHYSICS 10. QUANTUM PHYSICS
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10.    
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TitleNonclassical Effects and Dynamics of Quantum Observables
Author(s)Lakshmibala, S;Balakrishnan, V
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXI, 130 p. 51 illus., 44 illus. in color : online resource
Abstract NoteThis book explores interesting possibilities of extracting information about quantum states from data readily obtained from experiments, such as tomograms and expectation values of appropriate observables. The procedures suggested for identifying nonclassical e???ects such as wave packet revivals, squeezing and entanglement solely from tomograms circumvent detailed state reconstruction. Several bipartite entanglement indicators are de???ned based on tomograms, and their e???cacy assessed in models of atom-???eld interactions and qubit systems. Tools of classical ergodic theory such as time series and network analysis are applied to quantum observables treated as dynamical variables. This brings out novel aspects involving di???erent time scales. The book is aimed at researchers in the areas of quantum optics and quantum dynamics
ISBN,Price9783031194146
Keyword(s)1. DYNAMICAL SYSTEMS 2. EBOOK 3. EBOOK - SPRINGER 4. Quantum computing 5. QUANTUM INFORMATION 6. QUANTUM OPTICS 7. QUANTUM PHYSICS
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