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1 Pisarchik, Alexander N Multistability in Physical and Living Systems I12538 2022 Book  
2 Kenkre, V. M. (Nitant) Interplay of Quantum Mechanics and Nonlinearity I12518 2022 Book  
3 Lakshmibala, S Nonclassical Effects and Dynamics of Quantum Observables I12454 2022 Book  
4 Tenreiro Machado, J. A Mathematical Topics on Modelling Complex Systems I12410 2022 Book  
5 Datseris, George Nonlinear Dynamics I12383 2022 Book  
6 Bannikova, Elena Foundations of Celestial Mechanics I12357 2022 Book  
7 Brenig, L??on Nonequilibrium Thermodynamics and Fluctuation Kinetics I12322 2022 Book  
8 Wimberger, Sandro Nonlinear Dynamics and Quantum Chaos I12262 2022 Book  
9 Banerjee, Santo Nonlinear Dynamics and Applications I12233 2022 Book  
10 Sun, Kehui Solution and Characteristic Analysis of Fractional-Order Chaotic Systems I12189 2022 Book  
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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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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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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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TitleMathematical Topics on Modelling Complex Systems : In Memory of Professor Valentin Afraimovich
Author(s)Tenreiro Machado, J. A;Volchenkov, Dimitri
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionX, 184 p. 64 illus., 54 illus. in color : online resource
Abstract NoteThis book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal???semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection???diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners
ISBN,Price9789811641695
Keyword(s)1. Applications of Mathematics 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICS 7. SYSTEM THEORY
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5.     
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TitleNonlinear Dynamics : A Concise Introduction Interlaced with Code
Author(s)Datseris, George;Parlitz, Ulrich
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXV, 236 p. 116 illus., 103 illus. in color : online resource
Abstract NoteThis concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills
ISBN,Price9783030910327
Keyword(s)1. Climate Sciences 2. CLIMATOLOGY 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. Stochastic Networks 8. STOCHASTIC PROCESSES 9. SYSTEM THEORY 10. TIME SERIES ANALYSIS 11. TIME-SERIES ANALYSIS
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TitleFoundations of Celestial Mechanics
Author(s)Bannikova, Elena;Capaccioli, Massimo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXX, 392 p. 115 illus., 96 illus. in color : online resource
Abstract NoteThis book provides an introduction to classical celestial mechanics. It is based on lectures delivered by the authors over many years at both Padua University (MC) and V.N. Karazin Kharkiv National University (EB). The book aims to provide a mathematical description of the gravitational interaction of celestial bodies. The approach to the problem is purely formal. It allows the authors to write equations of motion and solve them to the greatest degree possible, either exactly or by approximate techniques, when there is no other way. The results obtained provide predictions that can be compared with the observations. Five chapters are supplemented by appendices that review certain mathematical tools, deepen some questions (so as not to interrupt the logic of the mainframe with heavy technicalities), give some examples, and provide an overview of special functions useful here, as well as in many other fields of physics. The authors also present the original investigation of torus potential. This book is aimed at senior undergraduate students of physics or astrophysics, as well as graduate students undertaking a master???s degree or Ph.D
ISBN,Price9783031045769
Keyword(s)1. Applications of Mathematics 2. Astronomy, Observations and Techniques 3. Astronomy???Observations 4. Classical and Quantum Gravity 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. GENERAL RELATIVITY 9. GENERAL RELATIVITY (PHYSICS) 10. GRAVITATION 11. GRAVITATIONAL PHYSICS 12. MATHEMATICS
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TitleNonequilibrium Thermodynamics and Fluctuation Kinetics : Modern Trends and Open Questions
Author(s)Brenig, L??on;Brilliantov, Nikolai;Tlidi, Mustapha
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionX, 354 p. 122 illus., 85 illus. in color : online resource
Abstract NoteThis book addresses research challenges in the rapidly developing area of nonequilibrium thermodynamics and fluctuation kinetics. This cross-disciplinary field comprises various topics, ranging from fundamental problems of nonequilibrium statistical mechanics and thermodynamics to multiple applications in plasma, fluid mechanics, nonlinear science, systems of dissipative particles, and high-Q resonators. The purpose of this book is to bring together world-leading experts in the above fields to initiate a cross-fertilization among these active research areas. The book is dedicated to and honours the memory of Professor Slava Belyi who passed away unexpectedly on May 20, 2020. He was pioneering the theory of nonequilibrium fluctuations, in particular the application of the Callen-Welton fluctuation-dissipation theorem to nonequilibrium systems and its generalization. This and related problems also feature in the book
ISBN,Price9783031044588
Keyword(s)1. Classical and Continuum Physics 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. PHYSICS 6. PLASMA (IONIZED GASES) 7. PLASMA PHYSICS 8. STATISTICAL PHYSICS 9. THERMODYNAMICS
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8.     
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TitleNonlinear Dynamics and Quantum Chaos : An Introduction
Author(s)Wimberger, Sandro
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVI, 259 p. 119 illus., 58 illus. in color : online resource
Abstract NoteThis 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. This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field
ISBN,Price9783031012495
Keyword(s)1. CLASSICAL MECHANICS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. MECHANICS 8. NONLINEAR OPTICS
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TitleNonlinear Dynamics and Applications : Proceedings of the ICNDA 2022
Author(s)Banerjee, Santo;Saha, Asit
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXXI, 1474 p. 608 illus., 551 illus. in color : online resource
Abstract NoteThis book covers recent trends and applications of nonlinear dynamics in various branches of society, science, and engineering. The selected peer-reviewed contributions were presented at the International Conference on Nonlinear Dynamics and Applications (ICNDA 2022) at Sikkim Manipal Institute of Technology (SMIT) and cover a broad swath of topics ranging from chaos theory and fractals to quantum systems and the dynamics of the COVID-19 pandemic. Organized by the SMIT Department of Mathematics, this international conference offers an interdisciplinary stage for scientists, researchers, and inventors to present and discuss the latest innovations and trends in all possible areas of nonlinear dynamics
ISBN,Price9783030997922
Keyword(s)1. BIOINFORMATICS 2. COMPLEX SYSTEMS 3. Computational and Systems Biology 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. MACHINE LEARNING 8. PLASMA WAVES 9. Stochastic Networks 10. STOCHASTIC PROCESSES 11. SYSTEM THEORY 12. Waves, instabilities and nonlinear plasma dynamics
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10.    
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TitleSolution and Characteristic Analysis of Fractional-Order Chaotic Systems
Author(s)Sun, Kehui;He, Shaobo;Wang, Huihai
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionXIII, 247 p. 179 illus., 147 illus. in color : online resource
Abstract NoteThis book highlights the solution algorithms and characteristic analysis methods of fractional-order chaotic systems. Fractal dimensions exist broadly in the study of nature and the development of science and technology. Fractional calculus has become a hot research area in nonlinear science. Fractional-order chaotic systems are an important part of fractional calculus. The book discusses the numerical solution algorithms and characteristic analysis of fractional-order chaotic systems and introduces the techniques to implement the systems with circuits. To facilitate a quick grasp, the authors present examples from their years of work in the appendix. Intended for graduate students and researchers interested in chaotic systems, the book helps one to build a theoretical and experimental foundation for the application of fractional-order chaotic systems
ISBN,Price9789811932731
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICAL PHYSICS 7. SYSTEM THEORY 8. Theoretical, Mathematical and Computational Physics
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