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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 |
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2 |
Mart??nez-Guerra, Rafael |
Algorithms of Estimation for Nonlinear Systems |
I09780 |
2017 |
eBook |
|
3 |
G??mez, Gerard |
Astrodynamics Network AstroNet-II |
I09777 |
2016 |
eBook |
|
4 |
Valtonen, Mauri |
The Three-body 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 Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy |
I09238 |
2017 |
eBook |
|
10 |
Conte, Robert |
The Painlev?? Handbook |
I09128 |
2020 |
eBook |
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1.
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Title | Orbital Dynamics in the Gravitational Field of Small Bodies |
Author(s) | Yu, Yang |
Publication | Berlin, Heidelberg, 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 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,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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Item Type | eBook |
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I10386 |
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On Shelf |
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2.
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Title | Algorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint |
Author(s) | Mart??nez-Guerra, Rafael;Cruz-Ancona, Christopher Diego |
Publication | Cham, 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 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,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
|
Item Type | eBook |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09780 |
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On Shelf |
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3.
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Title | Astrodynamics Network AstroNet-II : The Final Conference |
Author(s) | G??mez, Gerard;Masdemont, Josep J |
Publication | Cham, Springer International Publishing, 2016. |
Description | XVIII, 325 p. 180 illus., 159 illus. in color : online resource |
Abstract Note | These 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,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)
|
Item Type | eBook |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09777 |
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On Shelf |
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4.
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Title | The Three-body Problem from Pythagoras to Hawking |
Author(s) | Valtonen, Mauri;Anosova, Joanna;Kholshevnikov, Konstantin;Myll??ri, Aleksandr;Orlov, Victor;Tanikawa, Kiyotaka |
Publication | Cham, 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 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,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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Item Type | eBook |
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09766 |
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On Shelf |
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5.
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Title | Mechanics : From Newton's Laws to Deterministic Chaos |
Author(s) | Scheck, Florian |
Publication | Berlin, Heidelberg, 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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Item Type | eBook |
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09673 |
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On Shelf |
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6.
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Title | Optimal Trajectory Tracking of Nonlinear Dynamical Systems |
Author(s) | L??ber, Jakob |
Publication | Cham, 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 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,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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Item Type | eBook |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09534 |
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On Shelf |
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7.
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Title | Elements of Classical and Quantum Integrable Systems |
Author(s) | Arutyunov, Gleb |
Publication | Cham, 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 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,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
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09392 |
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On Shelf |
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8.
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Title | Bifurcation Dynamics in Polynomial Discrete Systems |
Author(s) | Luo, Albert C. J |
Publication | Singapore, 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 1-dimensional 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 higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points 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 |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09327 |
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On Shelf |
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9.
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Title | The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy |
Author(s) | Shevchenko, Ivan I |
Publication | Cham, 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 Lidov-Kozai 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 Lidov-Kozai effect becomes one of the most studied astrophysical effects. This book covers the multitude of the Lidov-Kozai 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 self-contained. 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
|
Item Type | eBook |
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09238 |
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On Shelf |
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10.
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Title | The Painlev?? Handbook |
Author(s) | Conte, Robert;Musette, Micheline |
Publication | Cham, 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 Korteweg-de Vries equation, H??non-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau 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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Item Type | eBook |
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09128 |
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On Shelf |
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