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1 Boguslavskiy, Josif A Dynamic Systems Models I10444 2016 eBook  
2 Ludu, Andrei Boundaries of a Complex World I10429 2016 eBook  
3 Chaigne, Antoine Acoustics of Musical Instruments I10428 2016 eBook  
4 Sommer, Annkatrin Madlen Ultrafast Strong Field Dynamics in Dielectrics I10401 2016 eBook  
5 Vallejo, Juan C Predictability of Chaotic Dynamics I10399 2017 eBook  
6 Yu, Yang Orbital Dynamics in the Gravitational Field of Small Bodies I10386 2016 eBook  
7 Skokos, Charalampos (Haris) Chaos Detection and Predictability I10263 2016 eBook  
8 Onorato, Miguel Rogue and Shock Waves in Nonlinear Dispersive Media I10253 2016 eBook  
9 Xu, Jian-Jun Interfacial Wave Theory of Pattern Formation in Solidification I10247 2017 eBook  
10 Bischi, Gian Italo Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling I10241 2016 eBook  
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TitleDynamic Systems Models : New Methods of Parameter and State Estimation
Author(s)Boguslavskiy, Josif A;Borodovsky, Mark
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXX, 201 p : online resource
Abstract NoteThis monograph is an exposition of a novel method for solving inverse problems, a method of parameter estimation for time series data collected from simulations of real experiments. These time series might be generated by measuring the dynamics of aircraft in flight, by the function of a hidden Markov model used in bioinformatics or speech recognition or when analyzing the dynamics of asset pricing provided by the nonlinear models of financial mathematics. Dynamic Systems Models demonstrates the use of algorithms based on polynomial approximation which have weaker requirements than already-popular iterative methods. Specifically, they do not require a first approximation of a root vector and they allow non-differentiable elements in the vector functions being approximated. The text covers all the points necessary for the understanding and use of polynomial approximation from the mathematical fundamentals, through algorithm development to the application of the method in, for instance, aeroplane flight dynamics or biological sequence analysis. The technical material is illustrated by the use of worked examples and methods for training the algorithms are included. Dynamic Systems Models provides researchers in aerospatial engineering, bioinformatics and financial mathematics (as well as computer scientists interested in any of these fields) with a reliable and effective numerical method for nonlinear estimation and solving boundary problems when carrying out control design. It will also be of interest to academic researchers studying inverse problems and their solution
ISBN,Price9783319040363
Keyword(s)1. Aerospace engineering 2. Aerospace Technology and Astronautics 3. Applications of Nonlinear Dynamics and Chaos Theory 4. ASTRONAUTICS 5. EBOOK 6. EBOOK - SPRINGER 7. Economics, Mathematical?? 8. IMAGE PROCESSING 9. Mathematical Modeling and Industrial Mathematics 10. MATHEMATICAL MODELS 11. Quantitative Finance 12. SIGNAL PROCESSING 13. Signal, Image and Speech Processing 14. Speech processing systems 15. STATISTICAL PHYSICS
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TitleBoundaries of a Complex World
Author(s)Ludu, Andrei
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2016.
DescriptionXIII, 361 p. 158 illus., 112 illus. in color : online resource
Abstract NoteThe central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. ??In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. ????This graduate-level text also addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory. ??
ISBN,Price9783662490785
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. Earth System Sciences 6. EBOOK 7. EBOOK - SPRINGER 8. Ecology?? 9. Physical geography 10. STATISTICAL PHYSICS 11. SYSTEM THEORY 12. Systems biology 13. Theoretical Ecology/Statistics
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TitleAcoustics of Musical Instruments
Author(s)Chaigne, Antoine;Kergomard, Jean
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2016.
DescriptionXXV, 844 p. 357 illus., 355 illus. in color : online resource
Abstract NoteThis book, the first English-language translation of Acoustique des instruments de musique, Second Edition, presents the necessary foundations for understanding the complex physical phenomena involved in musical instruments. What is the function of the labium in a flute? Which features of an instrument allow us to make a clear audible distinction between a clarinet and a trumpet? With the help of numerous examples, these questions are addressed in detail. The authors focus in particular on the significant results obtained in the field during the last fifteen years. Their goal is to show that elementary physical models can be used with benefit for various applications in sound synthesis, instrument making, and sound recording. The book is primarily addressed to graduate students and researchers; however it could also be of interest for engineers, musicians, craftsmen, and music lovers who wish to learn about the basics of musical acoustics. Casts new light on the physics of musical instruments Includes up-to-date research published int he field of musical acoustics in the last fifteen years Outlines new methods developed in other fields such as complex modes and nonlinear normal modes Represents the only book on the physics of musical instruments to include practice exercises, catering to a broad audience of graduate students and researchers Brings the essential Acoustique des instruments de musique to an English audience for the first time
ISBN,Price9781493936793
Keyword(s)1. Acoustical engineering 2. ACOUSTICS 3. Applications of Nonlinear Dynamics and Chaos Theory 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Engineering Acoustics 9. MUSIC 10. STATISTICAL PHYSICS 11. VIBRATION 12. Vibration, Dynamical Systems, Control
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TitleUltrafast Strong Field Dynamics in Dielectrics
Author(s)Sommer, Annkatrin Madlen
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXVI, 127 p. 79 illus. in color : online resource
Abstract NoteThis thesis presents a systematic discussion of experimental approaches to investigating the nonlinear interaction of ultrashort visible strong fields with dielectrics directly in the time domain. The key finding is the distinctly different peak-intensity dependence of the light-matter energy transfer dynamics on the one hand, and the observed transient optical and electronic modifications on the other. As the induced electron dynamics evolve on sub-femtosecond timescales, real-time spectroscopy requires attosecond temporal resolution. This allows a range of parameters to be identified where the optical properties of the samples exposed to ultrashort light fields suffer dramatic changes allowing signal metrology while real absorption leading to dissipation is essentially absent. These findings indicate the feasibility of efficient optical switching at frequencies several orders of magnitude faster than current state-of-the-art electronics and thus have far-reaching technological consequences
ISBN,Price9783319412078
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. LASERS 5. Optics, Lasers, Photonics, Optical Devices 6. PHOTONICS 7. SOLID STATE PHYSICS 8. STATISTICAL PHYSICS
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TitlePredictability of Chaotic Dynamics : A Finite-time Lyapunov Exponents Approach
Author(s)Vallejo, Juan C;Sanjuan, Miguel A. F
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXV, 136 p. 47 illus., 22 illus. in color : online resource
Abstract NoteThis book is primarily concerned with the computational aspects of predictability of dynamical systems ??? in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, H??non-Heiles and R??ssler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system
ISBN,Price9783319518930
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Applications in the Physical Sciences 5. MATHEMATICAL PHYSICS 6. Numerical and Computational Physics, Simulation 7. PHYSICS 8. SPACE SCIENCES 9. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 10. STATISTICAL PHYSICS
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TitleOrbital Dynamics in the Gravitational Field of Small Bodies
Author(s)Yu, Yang
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2016.
DescriptionXVIII, 123 p. 49 illus., 17 illus. in color : online resource
Abstract NoteThis prizewinning PhD thesis presents a general discussion of the orbital motion close to solar system small bodies (SSSBs), which induce non-central asymmetric gravitational fields in their neighborhoods. It introduces the methods of qualitative theory in nonlinear dynamics to the study of local/global behaviors around SSSBs. Detailed mechanical models are employed throughout this dissertation, and specific numeric techniques are developed to compensate for the difficulties of directly analyzing. Applying this method, several target systems, like asteroid 216 Kleopatra, are explored in great detail, and the results prove to be both revealing and pervasive for a large group of SSSBs.
ISBN,Price9783662526934
Keyword(s)1. Aerospace engineering 2. Aerospace Technology and Astronautics 3. Applications of Nonlinear Dynamics and Chaos Theory 4. ASTRONAUTICS 5. ASTROPHYSICS 6. Astrophysics and Astroparticles 7. CLASSICAL MECHANICS 8. COMPUTER SIMULATION 9. Dynamical Systems and Ergodic Theory 10. DYNAMICS 11. EBOOK 12. EBOOK - SPRINGER 13. ERGODIC THEORY 14. MECHANICS 15. Simulation and Modeling 16. STATISTICAL PHYSICS
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TitleChaos Detection and Predictability
Author(s)Skokos, Charalampos (Haris);Gottwald, Georg A;Laskar, Jacques
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2016.
DescriptionXI, 269 p. 122 illus., 44 illus. in color : online resource
Abstract NoteDistinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ???0-1??? test for chaos
ISBN,Price9783662484104
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Earth System Sciences 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Applications in the Physical Sciences 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Physical geography 9. PHYSICS 10. SPACE SCIENCES 11. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 12. STATISTICAL PHYSICS
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TitleRogue and Shock Waves in Nonlinear Dispersive Media
Author(s)Onorato, Miguel;Resitori, Stefania;Baronio, Fabio
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXIII, 370 p. 152 illus., 132 illus. in color : online resource
Abstract NoteThis self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings ??? as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics
ISBN,Price9783319392141
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Fluid- and Aerodynamics 5. FLUIDS 6. GEOPHYSICS 7. Geophysics and Environmental Physics 8. Geophysics/Geodesy 9. LASERS 10. Optics, Lasers, Photonics, Optical Devices 11. PHOTONICS 12. STATISTICAL PHYSICS
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TitleInterfacial Wave Theory of Pattern Formation in Solidification : Dendrites, Fingers, Cells and Free Boundaries
Author(s)Xu, Jian-Jun
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXX, 591 p. 168 illus., 69 illus. in color : online resource
Abstract NoteThis comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences
ISBN,Price9783319526638
Keyword(s)1. Amorphous substances 2. Applications of Nonlinear Dynamics and Chaos Theory 3. CHEMICAL ENGINEERING 4. Complex fluids 5. EBOOK 6. EBOOK - SPRINGER 7. Engineering Fluid Dynamics 8. FLUID MECHANICS 9. Industrial Chemistry/Chemical Engineering 10. Materials???Surfaces 11. Soft and Granular Matter, Complex Fluids and Microfluidics 12. STATISTICAL PHYSICS 13. Surfaces and Interfaces, Thin Films 14. THIN FILMS
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TitleQualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling : Lectures Given at the COST Training School on New Economic Complex Geography at Urbino, Italy, 17-19 September 2015
Author(s)Bischi, Gian Italo;Panchuk, Anastasiia;Radi, Davide
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXVI, 327 p. 171 illus., 41 illus. in color : online resource
Abstract NoteThe book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 ???The EU in the new economic complex geography: models, tools and policy evaluation???. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling. Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems. The book is written for Ph.D. and master???s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics
ISBN,Price9783319332765
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Data-driven Science, Modeling and Theory Building 3. EBOOK 4. EBOOK - SPRINGER 5. Economic geography 6. ECONOMIC THEORY 7. Economic Theory/Quantitative Economics/Mathematical Methods 8. ECONOPHYSICS 9. Regional economics 10. Regional/Spatial Science 11. Sociophysics 12. Spatial economics 13. STATISTICAL PHYSICS
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