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1 Benenti, Sergio Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe I13109 2024 eBook  
2 Gros, Claudius Complex and Adaptive Dynamical Systems I13034 2024 eBook  
3 Flynn, Vincent Paul Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics I13009 2024 eBook  
4 Lindgren, Kristian Information Theory for Complex Systems I12951 2024 eBook  
5 Ferraz-Mello, Sylvio Chaotic Dynamics in Planetary Systems I12927 2023 eBook  
6 Yang, Zining Proceedings of the 2022 Conference of The Computational Social Science Society of the Americas I12855 2023 eBook  
7 Benatti, Fabio Dynamics, Information and Complexity in Quantum Systems I12811 2023 eBook  
8 Leonel, Edson Denis Dynamical Phase Transitions in Chaotic Systems I12794 2023 eBook  
9 Pismen, Len Patterns and Interfaces in Dissipative Dynamics I12732 2023 eBook  
10 Dil??o, Rui Dynamical System and Chaos I12698 2023 eBook  
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TitleMathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe
Author(s)Benenti, Sergio
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXI, 143 p. 63 illus., 56 illus. in color : online resource
Abstract NoteThis book is an enhanced and expanded English edition of the treatise ???Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,??? published by the Accademia delle Scienze di Torino in volume no. 42-43, 2018-2019. The book summarizes some of the principal ???ndings from a long-term cosmology research project, aiming to clarify signi???cant results through clear mathematical postulates. Despite efforts, a single mathematical model accurately describing the universe???s evolution remains elusive due to early universe complexity and numerous observational parameters. Over the past century, various models have been proposed and discarded, illustrated by debates on the cosmological constant and spatial curvature assumptions. Currently, many models lack clear foundations, causing confusion in the ???eld. Standard cosmological approaches rely on principles like Weyl???s principle, homogeneity, and isotropy, but may overlook discerning purely geometrical properties from those dependent on ???eld equations. This book aims to bring order to cosmology by starting from understandable mathematical postulates, leading to theorems. Disagreements on postulates can prompt adjustments or alternative approaches. Physics often consists of deductive theories lacking explicit delineation of underlying concepts and postulates, a criticism relevant to cosmological theories. Despite a late 1990s consensus on the Lambda cold dark matter model, the absence of a logical-deductive structure in literature complicates understanding, leading some to humorously dub it the ???expanding Universe and expanding confusion.???
ISBN,Price9783031640339
Keyword(s)1. COSMOLOGY 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. MATHEMATICAL PHYSICS 7. NUMERICAL ANALYSIS 8. Theoretical, Mathematical and Computational Physics
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TitleComplex and Adaptive Dynamical Systems : A Comprehensive Introduction
Author(s)Gros, Claudius
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXV, 461 p. 167 illus., 145 illus. in color : online resource
Abstract NoteThis textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced and explained on the run. All derivations are presented step-by-step. This new fifth edition has been fully revised and includes a new chapter, a range of new sections, figures and exercises. The Solution chapter has been reorganized for clarity. The core aspects of modern complex system sciences are presented in the first chapters, covering the foundations of network- and dynamical system theory, with a particular focus on scale-free networks and tipping phenomena. The notion of deterministic chaos is treated together with bifurcation theory and the intricacies of time delays. Modern information theoretical principles are discussed in further chapters, together with the notion of self-organized criticality, synchronization phenomena, and a game-theoretical treatment of the tragedy of the commons. The dynamical systems view of modern machine learning is presented in a new chapter. Chapters include exercises and suggestions for further reading. The textbook is suitable for graduate and advanced undergraduate students. The prerequisites are the basic mathematical tools of courses in natural sciences, computer science or engineering
ISBN,Price9783031550768
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. GRAPH THEORY 8. Mathematical Models of Cognitive Processes and Neural Networks 9. Neural networks (Computer science)?? 10. NONLINEAR THEORIES 11. Stochastic Networks 12. STOCHASTIC PROCESSES 13. SYSTEM THEORY
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TitleEffective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics
Author(s)Flynn, Vincent Paul
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXI, 238 p. 24 illus., 23 illus. in color : online resource
Abstract NoteThis thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in "free" (mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases. The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-lived boundary-localized "Majorana boson" and "Dirac boson" modes, which realize tight bosonic analogues to the edge modes characteristic of fermionic SPT phases. This comprehensive look into non-interacting bosonic systems breaks important new ground for re-imagining quantum phenomena beyond equilibrium, with novel applications in quantum science
ISBN,Price9783031520457
Keyword(s)1. DYNAMICAL SYSTEMS 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. QUANTUM ELECTRODYNAMICS 9. Quantum Electrodynamics, Relativistic and Many-body Calculations 10. QUANTUM FIELD THEORY 11. Quantum Fluids and Solids 12. QUANTUM OPTICS 13. QUANTUM STATISTICS
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TitleInformation Theory for Complex Systems : An Information Perspective on Complexity in Dynamical Systems and Statistical Mechanics
Author(s)Lindgren, Kristian
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2024.
DescriptionXI, 153 p. 70 illus., 16 illus. in color : online resource
Abstract NoteThis book introduces a comprehensive framework tailored for dissecting complex systems across diverse disciplines. What defines a complex system? How can we harness information to quantify its order, structure, and intricacy? Delving into phenomena from the intricate processes in physical systems to the dynamic behaviours in cellular automata and pattern formation, readers will uncover the profound interplay between physics and information theory. This intricate relationship provides fresh insight into physical phenomena, reimagining them through the lens of information. Notably, the book demystifies how seemingly opposing forces???rising order and increasing disorder???coexist, ultimately shedding light on the second law of thermodynamics as an outcome of deterministic, reversible dynamics beneath the surface. Geared towards graduate students, this book presumes an undergraduate foundation in mathematics and physics, ensuring a deep, engaging exploration for its readers
ISBN,Price9783662682142
Keyword(s)1. COMPLEX SYSTEMS 2. Data structures (Computer science) 3. Data Structures and Information Theory 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. INFORMATION THEORY 8. STATISTICAL MECHANICS 9. SYSTEM THEORY 10. THERMODYNAMICS
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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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