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11 Luo, Albert C. J Two-Dimensional Quadratic Nonlinear Systems I11975 2021 eBook  
12 Yang, Zining Proceedings of the 2020 Conference of The Computational Social Science Society of the Americas I11952 2021 eBook  
13 Shashikanth, Banavara N Dynamically Coupled Rigid Body-Fluid Flow Systems I11880 2021 eBook  
14 O???Leary, Joseph General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies I11869 2021 eBook  
15 Berner, Rico Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators I11814 2021 eBook  
16 Reichl, Linda The Transition to Chaos I11737 2021 eBook  
17 Grigoriu, Mircea D Linear Dynamical Systems I11716 2021 eBook  
18 Volchenkov, Dimitri Nonlinear Dynamics, Chaos, and Complexity I11695 2021 eBook  
19 Leonel, Edson Denis Scaling Laws in Dynamical Systems I11671 2021 eBook  
20 Serra, Roberto Modelling Protocells I10471 2017 eBook  
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11.    
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TitleTwo-Dimensional Quadratic Nonlinear Systems : Volume II: Bivariate Vector Fields
Author(s)Luo, Albert C. J
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionX, 445 p. 117 illus., 113 illus. in color : online resource
Abstract NoteThe book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering
ISBN,Price9789811678691
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DIFFERENTIAL EQUATIONS 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. NONLINEAR THEORIES 9. SYSTEM THEORY
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12.     
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TitleProceedings of the 2020 Conference of The Computational Social Science Society of the Americas
Author(s)Yang, Zining;von Briesen, Elizabeth
PublicationCham, Springer International Publishing, 2021.
DescriptionIX, 279 p. 131 illus., 123 illus. in color : online resource
Abstract NoteThis book is comprised of the latest research into CSS methods, uses, and results, as presented at the 2020 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. The above-mentioned conference was held virtually, October 8 ??? 11, 2020. What follows is a diverse representation of new results and approaches to using the tools of CSS and agent-based modeling (ABM) in exploring complex phenomena across many different domains. Readers will therefore not only have the results of these specific projects upon which to build, along with a wealth of case-study examples that can serve as meaningful exemplars for new research projects and activities, they will also gain a greater appreciation for the broad scope of CSS
ISBN,Price9783030834180
Keyword(s)1. Agent-based Economics 2. COMPLEX SYSTEMS 3. COMPUTATIONAL COMPLEXITY 4. Computational Physics and Simulations 5. COMPUTER SIMULATION 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. GAME THEORY 10. MATHEMATICAL PHYSICS 11. Schools of economics 12. SYSTEM THEORY
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13.     
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TitleDynamically Coupled Rigid Body-Fluid Flow Systems
Author(s)Shashikanth, Banavara N
PublicationCham, Springer International Publishing, 2021.
DescriptionX, 187 p. 34 illus., 9 illus. in color : online resource
Abstract NoteThis book presents a unified study of dynamically coupled systems involving a rigid body and an ideal fluid flow from the perspective of Lagrangian and Hamiltonian mechanics. It compiles theoretical investigations on the topic of dynamically coupled systems using a framework grounded in Kirchhoff???s equations. The text achieves a balance between geometric mechanics, or the modern theories of reduction of Lagrangian and Hamiltonian systems, and classical fluid mechanics, with a special focus on the applications of these principles. Following an introduction to Kirchhoff???s equations of motion, the book discusses several extensions of Kirchhoff???s work, particularly related to vortices. It addresses the equations of motions of these systems and their Lagrangian and Hamiltonian formulations. The book is suitable to mathematicians, physicists and engineers with a background in Lagrangian and Hamiltonian mechanics and theoretical fluid mechanics. It includes a brief introductory overview of geometric mechanics in the appendix
ISBN,Price9783030826468
Keyword(s)1. Applications of Mathematics 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. MATHEMATICS
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14.     
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TitleGeneral Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies
Author(s)O???Leary, Joseph
PublicationCham, Springer International Publishing, 2021.
DescriptionXVII, 102 p. 11 illus., 7 illus. in color : online resource
Abstract NoteOwing to the increased accuracy requirements in fields such as astrometry and geodesy the general theory of relativity must be taken into account for any mission requiring highly accurate orbit information and for practically all observation and measurement techniques. This book highlights the confluence of Applied Mathematics, Physics and Space Science as seen from Einstein's general theory of relativity and aims to bridge the gap between theoretical and applied domains. The book investigates three distinct areas of general relativity: Exact solutions of the Einstein field equations of gravitation. Dynamics of near-Earth objects and solar system bodies. Relativistic orbitography. This book is an updated and expanded version of the author???s PhD thesis which was awarded the International Astronomical Union PhD prize in Division A: Fundamental Astronomy. Included is a new introduction aimed at graduate students of General Relativity and extended discussions and results on topics in post-Newtonian dynamics and general relativistic spacecraft propagation
ISBN,Price9783030801854
Keyword(s)1. ASTROPHYSICS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. GENERAL RELATIVITY 6. GENERAL RELATIVITY (PHYSICS) 7. PLANETARY SCIENCE
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15.     
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TitlePatterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators
Author(s)Berner, Rico
PublicationCham, Springer International Publishing, 2021.
DescriptionXVI, 203 p. 51 illus., 44 illus. in color : online resource
Abstract NoteThe focus of this thesis is the interplay of synchrony and adaptivity in complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, neuroscience, medicine, socioeconomic systems, and engineering. Most prominently, synchronization takes place in the brain, where it is associated with cognitive capacities like learning and memory, but is also a characteristic of neurological diseases like Parkinson and epilepsy. Adaptivity is common in many networks in nature and technology, where the connectivity changes in time, i.e., the strength of the coupling is continuously adjusted depending upon the dynamic state of the system, for instance synaptic neuronal plasticity in the brain. This research contributes to a fundamental understanding of various synchronization patterns, including hierarchical multifrequency clusters, chimeras and other partial synchronization states. After a concise survey of the fundamentals of adaptive and complex dynamical networks and synaptic plasticity, in the first part of the thesis the existence and stability of cluster synchronization in globally coupled adaptive networks is discussed for simple paradigmatic phase oscillators as well as for a more realistic neuronal oscillator model with spike-timing dependent plasticity. In the second part of the thesis the interplay of adaptivity and connectivity is investigated for more complex network structures like nonlocally coupled rings, random networks, and multilayer systems. Besides presenting a plethora of novel, sometimes intriguing patterns of synchrony, the thesis makes a number of pioneering methodological advances, where rigorous mathematical proofs are given in the Appendices. These results are of interest not only from a fundamental point of view, but also with respect to challenging applications in neuroscience and technological systems
ISBN,Price9783030749385
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. SYSTEM THEORY
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16.     
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TitleThe Transition to Chaos : Conservative Classical and Quantum Systems
Author(s)Reichl, Linda
PublicationCham, Springer International Publishing, 2021.
DescriptionXIV, 555 p. 176 illus : online resource
Abstract NoteThe classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics. This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community
ISBN,Price9783030635343
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. SYSTEM THEORY 7. Theoretical, Mathematical and Computational Physics
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17.     
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TitleLinear Dynamical Systems
Author(s)Grigoriu, Mircea D
PublicationCham, Springer International Publishing, 2021.
DescriptionIX, 153 p. 40 illus., 24 illus. in color : online resource
Abstract NoteThis textbook provides a concise, clear, and rigorous presentation of the dynamics of linear systems that delivers the necessary tools for the analysis and design of mechanical/ structural systems, regardless of their complexity. The book is written for senior undergraduate and first year graduate students as well as engineers working on the design of mechanical/structural systems subjected to dynamic actions, such as wind/earthquake engineers and mechanical engineers working on wind turbines. Professor Grigoriu's lucid presentation maximizes student understanding of the formulation and the solution of linear systems subjected to dynamic actions, and provides a clear distinction between problems of practical interest and their special cases. Based on the author's lecture notes from courses taught at Cornell University, the material is class-tested over many years and ideal as a core text for a range of classes in mechanical, civil, and geotechnical engineering, as well as for self-directed learning by practitioners in the field. Follows a coherent introduction of topics from the physics, constitutive equations, and general formulations and solutions of problems of practical interest through special cases of these problems obtained by specializing general results Adopts a top-down approach enabling a compact book that covers all relevant topics on the dynamics of linear systems, where special cases of problems of practical interest cannot be interpreted as new problems which require different solutions Reinforces readers' grasp of theoretical considerations with numerical illustrations Includes less familiar mathematical tools used in some derivations in appendices Treats solution of finite dimensional/continuous systems as elements of the vector spaces spanned by the eigenvectors/eigenfunctions corresponding to the system mechanical properties
ISBN,Price9783030645526
Keyword(s)1. Applied Dynamical Systems 2. CONTINUUM MECHANICS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MECHANICS 8. Linear Models and Regression 9. Mechanics, Applied 10. NONLINEAR THEORIES 11. REGRESSION ANALYSIS
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18.     
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TitleNonlinear Dynamics, Chaos, and Complexity : In Memory of Professor Valentin Afraimovich
Author(s)Volchenkov, Dimitri
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionVIII, 198 p. 66 illus., 23 illus. in color : online resource
Abstract NoteThis book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).
ISBN,Price9789811590344
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mechanics, Applied 6. Multibody systems 7. Multibody Systems and Mechanical Vibrations 8. NONLINEAR OPTICS 9. SYSTEM THEORY 10. VIBRATION
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19.     
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TitleScaling Laws in Dynamical Systems
Author(s)Leonel, Edson Denis
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionXXVII, 247 p. 109 illus., 79 illus. in color : online resource
Abstract NoteThis book discusses many of the common scaling properties observed in some nonlinear dynamical systems mostly described by mappings. The unpredictability of the time evolution of two nearby initial conditions in the phase space together with the exponential divergence from each other as time goes by lead to the concept of chaos. Some of the observables in nonlinear systems exhibit characteristics of scaling invariance being then described via scaling laws. From the variation of control parameters, physical observables in the phase space may be characterized by using power laws that many times yield into universal behavior. The application of such a formalism has been well accepted in the scientific community of nonlinear dynamics. Therefore I had in mind when writing this book was to bring together few of the research results in nonlinear systems using scaling formalism that could treated either in under-graduation as well as in the post graduation in the several exact programs but no earlier requirements were needed from the students unless the basic physics and mathematics. At the same time, the book must be original enough to contribute to the existing literature but with no excessive superposition of the topics already dealt with in other text books. The majority of the Chapters present a list of exercises. Some of them are analytic and others are numeric with few presenting some degree of computational complexity
ISBN,Price9789811635441
Keyword(s)1. DYNAMICAL SYSTEMS 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL ANALYSIS 5. SCALE INVARIANCE
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20.    
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TitleModelling Protocells : The Emergent Synchronization of Reproduction and Molecular Replication
Author(s)Serra, Roberto;Villani, Marco
PublicationDordrecht, Springer Netherlands, 2017.
DescriptionXV, 182 p. 46 illus., 33 illus. in color : online resource
Abstract NoteThe monograph discusses models of synthetic protocells, which are cell-like structures obtained from non-living matter endowed with some rudimentary kind of metabolism and genetics, but much simpler than biological cells. They should grow and proliferate, generating offsprings that resemble in some way the parent protocells with some variation, so that selection may take place. Sustainable protocell populations have not yet been obtained experimentally and mathematical models are therefore extremely important to address key questions concerning their synthesis and behavior. Different protocell ???architectures??? have been proposed and high-level abstract models like those that are presented in this book are particularly relevant to gain a better understanding of the different properites. These models are able to treat all the major dynamical phenomena in a unified framework, so they can be seen as ???virtual laboratories??? for protocell research. Particular attention is paid to the problem of synchronization of the fission rate of the whole protocell and the duplication rate of its "protogenetic" material, which is shown to be an emergent property that spontaneously develops in successive generations. The book is of interest for a broad range of scientists working in soft matter physics, chemistry and biology, interested in the role protocells may play on the development of new technologies with medical, environmental and industrial applications as well as scientists interested in the origin of life
ISBN,Price9789402411607
Keyword(s)1. Biological and Medical Physics, Biophysics 2. BIOLOGICAL PHYSICS 3. BIOPHYSICS 4. Biotechnology 5. COMPLEX SYSTEMS 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. Evolutionary Biology 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems
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