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Author  Title  Accn#  Year  Item Type  Claims 
1 
Yu, Yang 
Orbital Dynamics in the Gravitational Field of Small Bodies 
I10386 
2016 
eBook 

2 
Mart??nezGuerra, Rafael 
Algorithms of Estimation for Nonlinear Systems 
I09780 
2017 
eBook 

3 
G??mez, Gerard 
Astrodynamics Network AstroNetII 
I09777 
2016 
eBook 

4 
Valtonen, Mauri 
The Threebody Problem from Pythagoras to Hawking 
I09766 
2016 
eBook 

5 
Scheck, Florian 
Mechanics 
I09673 
2018 
eBook 

6 
L??ber, Jakob 
Optimal Trajectory Tracking of Nonlinear Dynamical Systems 
I09534 
2017 
eBook 

7 
Arutyunov, Gleb 
Elements of Classical and Quantum Integrable Systems 
I09392 
2019 
eBook 

8 
Luo, Albert C. J 
Bifurcation Dynamics in Polynomial Discrete Systems 
I09327 
2020 
eBook 

9 
Shevchenko, Ivan I 
The LidovKozai Effect  Applications in Exoplanet Research and Dynamical Astronomy 
I09238 
2017 
eBook 

10 
Conte, Robert 
The Painlev?? Handbook 
I09128 
2020 
eBook 


1.


Title  Orbital Dynamics in the Gravitational Field of Small Bodies 
Author(s)  Yu, Yang 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2016. 
Description  XVIII, 123 p. 49 illus., 17 illus. in color : online resource 
Abstract Note  This prizewinning PhD thesis presents a general discussion of the orbital motion close to solar system small bodies (SSSBs), which induce noncentral 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,Price  9783662526934 
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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I10386 


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2.


Title  Algorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint 
Author(s)  Mart??nezGuerra, Rafael;CruzAncona, Christopher Diego 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XX, 197 p. 58 illus., 10 illus. in color : online resource 
Abstract Note  This 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 socalled inputaffine 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 inputoutput 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,Price  9783319530406 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I09780 


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3.


Title  Astrodynamics Network AstroNetII : The Final Conference 
Author(s)  G??mez, Gerard;Masdemont, Josep J 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2016. 
Description  XVIII, 325 p. 180 illus., 159 illus. in color : online resource 
Abstract Note  These are the proceedings of the "AstroNetII International Final Conference". This conference was one of the last milestones of the MarieCurie Research Training Network on Astrodynamics "AstroNetII", 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,Price  9783319239866 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I09777 


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4.


Title  The Threebody Problem from Pythagoras to Hawking 
Author(s)  Valtonen, Mauri;Anosova, Joanna;Kholshevnikov, Konstantin;Myll??ri, Aleksandr;Orlov, Victor;Tanikawa, Kiyotaka 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2016. 
Description  XI, 173 p. 96 illus., 70 illus. in color : online resource 
Abstract Note  This book, written for a general readership, reviews and explains the threebody problem in historical context reaching to latest developments in computational physics and gravitation theory. The threebody 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 threebody 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 threebodies 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 halfacentury has revolutionized the study; now many answers have been found while new questions about the threebody 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 nohair theorem, due to Hawking and his coworkers 
ISBN,Price  9783319227269 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I09766 


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5.


Title  Mechanics : From Newton's Laws to Deterministic Chaos 
Author(s)  Scheck, Florian 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2018. 
Description  XVII, 591 p. 175 illus : online resource 
Abstract Note  This 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,Price  9783662554906 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I09673 


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6.


Title  Optimal Trajectory Tracking of Nonlinear Dynamical Systems 
Author(s)  L??ber, Jakob 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XIV, 243 p. 36 illus., 32 illus. in color : online resource 
Abstract Note  By 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 wellknown 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 selfcontained 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,Price  9783319465746 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I09534 


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7.


Title  Elements of Classical and Quantum Integrable Systems 
Author(s)  Arutyunov, Gleb 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2019. 
Description  XIII, 414 p. 51 illus., 20 illus. in color : online resource 
Abstract Note  Integrable 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 finitedimensional 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 CalogeroMoserSutherland and RuijsenaarsSchneider models, the Heisenberg spin chain and the onedimensional Bose gas interacting via a deltafunction potential. This book has intermediate and advanced topics with details to make them clearly comprehensible 
ISBN,Price  9783030241988 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I09392 


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8.


Title  Bifurcation Dynamics in Polynomial Discrete Systems 
Author(s)  Luo, Albert C. J 
Publication  Singapore, 1. Imprint: Springer
2. Springer Singapore, 2020. 
Description  XI, 430 p. 68 illus., 66 illus. in color : online resource 
Abstract Note  This is the first book focusing on bifurcation dynamics in 1dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higherorder singularity period1 fixedpoints in the 1dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period1 to chaos generated by perioddoubling, and monotonic saddlenode bifurcations. Lastly, the book presents methods for period2 and perioddoubling renormalization for polynomial discrete systems, and describes the appearing mechanism and perioddoublization of periodn fixedpoints on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems 
ISBN,Price  9789811552083 
Keyword(s)  1. COMPLEXITY
2. COMPUTATIONAL COMPLEXITY
3. Control and Systems Theory
4. Control engineering
5. DYNAMICAL SYSTEMS
6. Dynamical Systems and Ergodic Theory
7. DYNAMICS
8. EBOOK
9. EBOOK  SPRINGER
10. ERGODIC THEORY
11. VIBRATION
12. Vibration, Dynamical Systems, Control

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09327 


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9.


Title  The LidovKozai Effect  Applications in Exoplanet Research and Dynamical Astronomy 
Author(s)  Shevchenko, Ivan I 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XI, 194 p. 39 illus., 8 illus. in color : online resource 
Abstract Note  This book deals with an effect in celestial mechanics that has become quite important in exoplanet research. The LidovKozai effect reveals itself in coherent periodic variations (which can be very large) of the inclination and eccentricity of an orbiting body in the presence of an inclined perturber. The effect is known to be important in the motion of many asteroids and planetary satellites. What is more, now it attracts more and more interest in the astronomical and astrophysical community due to its relevance for many exoplanetary systems. Recent years witnessed major advancements in its theory. It would be no exaggeration to say that nowadays the LidovKozai effect becomes one of the most studied astrophysical effects. This book covers the multitude of the LidovKozai effect???s modern applications and its theory developments. It will be useful for researchers and students working in astrophysics, celestial mechanics, stellar dynamics, theoretical mechanics, space missions design, depending on the interests of the reader. The book is selfcontained. It provides the full detailed coverage of the effect???s theory and applications 
ISBN,Price  9783319435220 
Keyword(s)  1. Applications of Nonlinear Dynamics and Chaos Theory
2. ASTROPHYSICS
3. Astrophysics and Astroparticles
4. Dynamical Systems and Ergodic Theory
5. DYNAMICS
6. EBOOK
7. EBOOK  SPRINGER
8. ERGODIC THEORY
9. PLANETOLOGY
10. SPACE SCIENCES
11. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
12. STATISTICAL PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09238 


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10.
 
Title  The Painlev?? Handbook 
Author(s)  Conte, Robert;Musette, Micheline 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2020. 
Description  XXXI, 389 p. 15 illus., 6 illus. in color : online resource 
Abstract Note  This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlev?? test and shows how Painlev?? analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schr??dinger equation, the Kortewegde Vries equation, H??nonHeiles type Hamiltonians, and numerous physically relevant examples such as the KuramotoSivashinsky equation, the KolmogorovPetrovskiPiskunov equation, and mainly the cubic and quintic GinzburgLandau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic GinzburgLandau equations; a close look at physical problems involving the sixth Painlev?? function; and an overview of new results since the book???s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences 
ISBN,Price  9783030533403 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. ERGODIC THEORY
9. Math. Applications in Chemistry
10. Mathematical and Computational Engineering
11. Mathematical Methods in Physics
12. MATHEMATICAL PHYSICS
13. PARTIAL DIFFERENTIAL EQUATIONS
14. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09128 


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