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31 Mart??nez-Guerra, Rafael Algorithms of Estimation for Nonlinear Systems I09780 2017 eBook  
32 G??mez, Gerard Astrodynamics Network AstroNet-II I09777 2016 eBook  
33 Valtonen, Mauri The Three-body Problem from Pythagoras to Hawking I09766 2016 eBook  
34 Scheck, Florian Mechanics I09673 2018 eBook  
35 Luo, Albert C. J Galloping Instability to Chaos of Cables I09545 2017 eBook  
36 L??ber, Jakob Optimal Trajectory Tracking of Nonlinear Dynamical Systems I09534 2017 eBook  
37 Awrejcewicz, Jan Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members I09494 2020 eBook  
38 Jing, Zhongliang Proceedings of the International Conference on Aerospace System Science and Engineering 2019 I09493 2020 eBook  
39 Holm, Sverre Waves with Power-Law Attenuation I09464 2019 eBook  
40 Arutyunov, Gleb Elements of Classical and Quantum Integrable Systems I09392 2019 eBook  
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31.    
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TitleAlgorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint
Author(s)Mart??nez-Guerra, Rafael;Cruz-Ancona, Christopher Diego
PublicationCham, Springer International Publishing, 2017.
DescriptionXX, 197 p. 58 illus., 10 illus. in color : online resource
Abstract NoteThis book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms
ISBN,Price9783319530406
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ERGODIC THEORY 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems 10. VIBRATION 11. Vibration, Dynamical Systems, Control
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32.     
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TitleAstrodynamics Network AstroNet-II : The Final Conference
Author(s)G??mez, Gerard;Masdemont, Josep J
PublicationCham, Springer International Publishing, 2016.
DescriptionXVIII, 325 p. 180 illus., 159 illus. in color : online resource
Abstract NoteThese are the proceedings of the "AstroNet-II International Final Conference". This conference was one of the last milestones of the Marie-Curie Research Training Network on Astrodynamics "AstroNet-II", that has been funded by the European Commission under the Seventh Framework Programme. The aim of the conference, and thus??this book,??is to communicate work on astrodynamics problems??to an international and specialised audience. The??results are??presented by both members of the network and??invited specialists. The topics include: trajectory design and control, attitude control, structural flexibility of spacecraft and formation flying. The book addresses a readership across the traditional boundaries between mathematics, engineering and industry by offering an interdisciplinary and multisectorial overview of the field
ISBN,Price9783319239866
Keyword(s)1. Aerospace engineering 2. Aerospace Technology and Astronautics 3. ASTRONAUTICS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ERGODIC THEORY 9. SPACE SCIENCES 10. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
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33.     
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TitleThe Three-body Problem from Pythagoras to Hawking
Author(s)Valtonen, Mauri;Anosova, Joanna;Kholshevnikov, Konstantin;Myll??ri, Aleksandr;Orlov, Victor;Tanikawa, Kiyotaka
PublicationCham, Springer International Publishing, 2016.
DescriptionXI, 173 p. 96 illus., 70 illus. in color : online resource
Abstract NoteThis book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory. The three-body problem is one of the oldest problems in science and it is most relevant even in today???s physics and astronomy. The long history of the problem from Pythagoras to Hawking parallels the evolution of ideas about our physical universe, with a particular emphasis on understanding gravity and how it operates between astronomical bodies. The oldest astronomical three-body problem is the question how and when the moon and the sun line up with the earth to produce eclipses. Once the universal gravitation was discovered by Newton, it became immediately a problem to understand why these three-bodies form a stable system, in spite of the pull exerted from one to the other. In fact, it was a big question whether this system is stable at all in the long run. Leading mathematicians attacked this problem over more than two centuries without arriving at a definite answer. The introduction of computers in the last half-a-century has revolutionized the study; now many answers have been found while new questions about the three-body problem have sprung up. One of the most recent developments has been in the treatment of the problem in Einstein???s General Relativity, the new theory of gravitation which is an improvement on Newton???s theory. Now it is possible to solve the problem for three black holes and to test one of the most fundamental theorems of black hole physics, the no-hair theorem, due to Hawking and his co-workers
ISBN,Price9783319227269
Keyword(s)1. ASTRONOMY 2. ASTROPHYSICS 3. Astrophysics and Astroparticles 4. Classical and Quantum Gravitation, Relativity Theory 5. CLASSICAL MECHANICS 6. Dynamical Systems and Ergodic Theory 7. DYNAMICS 8. EBOOK 9. EBOOK - SPRINGER 10. ERGODIC THEORY 11. GRAVITATION 12. Mathematical Methods in Physics 13. MECHANICS 14. PHYSICS 15. Popular Science in Astronomy
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34.     
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TitleMechanics : From Newton's Laws to Deterministic Chaos
Author(s)Scheck, Florian
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2018.
DescriptionXVII, 591 p. 175 illus : online resource
Abstract NoteThis book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present 6th edition is updated and revised with more explanations, additional examples and problems with solutions, together with new??sections on applications in science. ?? Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics. ?? The book contains more than 150 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
ISBN,Price9783662554906
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. ERGODIC THEORY 10. MECHANICS 11. Mechanics, Applied 12. Theoretical and Applied Mechanics
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35.     
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TitleGalloping Instability to Chaos of Cables
Author(s)Luo, Albert C. J;Yu, Bo
PublicationSingapore, Springer Singapore, 2017.
DescriptionX, 208 p. 35 illus : online resource
Abstract NoteThis book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables. They will also gain a better understanding of stable and unstable periodic motions and chaos in fluid-induced structural vibrations. Further, the results presented here will help engineers effectively??design and analyze fluid-induced vibrations
ISBN,Price9789811052422
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. STATISTICAL PHYSICS 7. VIBRATION 8. Vibration, Dynamical Systems, Control
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36.     
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TitleOptimal Trajectory Tracking of Nonlinear Dynamical Systems
Author(s)L??ber, Jakob
PublicationCham, Springer International Publishing, 2017.
DescriptionXIV, 243 p. 36 illus., 32 illus. in color : online resource
Abstract NoteBy establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry
ISBN,Price9783319465746
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimal Control; Optimization 4. DYNAMICAL SYSTEMS 5. Dynamical Systems and Ergodic Theory 6. DYNAMICS 7. EBOOK 8. EBOOK - SPRINGER 9. ERGODIC THEORY 10. STATISTICAL PHYSICS 11. VIBRATION 12. Vibration, Dynamical Systems, Control
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37.     
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TitleElastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members : Applications of the Bubnov-Galerkin and Finite Difference Methods
Author(s)Awrejcewicz, Jan;Krysko, Vadim A
PublicationCham, Springer International Publishing, 2020.
DescriptionXX, 602 p. 333 illus., 260 illus. in color : online resource
Abstract NoteAdding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall state-of-the art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours.
ISBN,Price9783030376635
Keyword(s)1. Computational Science and Engineering 2. Computer mathematics 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Numerical and Computational Physics, Simulation 8. PHYSICS 9. VIBRATION 10. Vibration, Dynamical Systems, Control
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38.     
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TitleProceedings of the International Conference on Aerospace System Science and Engineering 2019
Author(s)Jing, Zhongliang
PublicationSingapore, Springer Singapore, 2020.
DescriptionVII, 374 p. 249 illus., 195 illus. in color : online resource
Abstract NoteThis book presents the proceedings of the International Conference on Aerospace System Science and Engineering (ICASSE 2019), held in Toronto, Canada, on July 30???August 1, 2019, and jointly organized by the University of Toronto Institute for Aerospace Studies (UTIAS) and the Shanghai Jiao Tong University School of Aeronautics and Astronautics. ICASSE 2019 provided a forum that brought together experts on aeronautics and astronautics to share new ideas and findings. These proceedings present high-quality contributions in the areas of aerospace system science and engineering, including topics such as trans-space vehicle system design and integration, air vehicle systems, space vehicle systems, near-space vehicle systems, aerospace robotics and unmanned systems, communication, navigation and surveillance, aerodynamics and aircraft design, dynamics and control, aerospace propulsion, avionics systems, optoelectronic systems, and air traffic management
ISBN,Price9789811517730
Keyword(s)1. Aerospace engineering 2. Aerospace Technology and Astronautics 3. ASTRONAUTICS 4. Control and Systems Theory 5. Control engineering 6. DYNAMICAL SYSTEMS 7. DYNAMICS 8. EBOOK 9. EBOOK - SPRINGER 10. ENGINEERING DESIGN 11. SPACE SCIENCES 12. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 13. VIBRATION 14. Vibration, Dynamical Systems, Control
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39.     
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TitleWaves with Power-Law Attenuation
Author(s)Holm, Sverre
PublicationCham, Springer International Publishing, 2019.
DescriptionXXXVII, 312 p. 142 illus., 82 illus. in color : online resource
Abstract NoteThis book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity. Compressional waves and shear waves in applications such as medical ultrasound, elastography, and sediment acoustics often follow power law attenuation and dispersion laws that cannot be described with classical viscous and relaxation models. This is accompanied by temporal power laws rather than the temporal exponential responses of classical models. The book starts by reformulating the classical models of acoustics in terms of standard models from linear elasticity. Then, non-classical loss models that follow power laws and which are expressed via convolution models and fractional derivatives are covered in depth. In addition, parallels are drawn to electromagnetic waves in complex dielectric media. The book also contains historical vignettes and important side notes about the validity of central questions. While addressed primarily to physicists and engineers working in the field of acoustics, this expert monograph will also be of interest to mathematicians, mathematical physicists, and geophysicists. Couples fractional derivatives and power laws and gives their multiple relaxation process interpretation Investigates causes of power law attenuation and dispersion such as interaction with hierarchical models of polymer chains and non-Newtonian viscosity Shows how fractional and multiple relaxation models are inherent in the grain shearing and extended Biot descriptions of sediment acoustics Contains historical vignettes and side notes about the formulation of some of the concepts discussed
ISBN,Price9783030149277
Keyword(s)1. Acoustical engineering 2. ACOUSTICS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Engineering Acoustics 8. GEOPHYSICS 9. Geophysics/Geodesy 10. MATHEMATICAL PHYSICS 11. Radiology 12. Ultrasound 13. VIBRATION 14. Vibration, Dynamical Systems, Control
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40.    
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TitleElements of Classical and Quantum Integrable Systems
Author(s)Arutyunov, Gleb
PublicationCham, Springer International Publishing, 2019.
DescriptionXIII, 414 p. 51 illus., 20 illus. in color : online resource
Abstract NoteIntegrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible
ISBN,Price9783030241988
Keyword(s)1. CLASSICAL MECHANICS 2. Dynamical Systems and Ergodic Theory 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ERGODIC THEORY 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems
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