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Author  Title  Accn#  Year  Item Type  Claims 
11 
Cufaro Petroni, Nicola 
Probability and Stochastic Processes for Physicists 
I09108 
2020 
eBook 

12 
Luo, Albert C. J 
Bifurcation and Stability in Nonlinear Discrete Systems 
I09015 
2020 
eBook 

13 
Akhmet, Marat 
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities 
I08930 
2017 
eBook 

14 
Antoniou, Stathis 
Mathematical Modeling Through Topological Surgery and Applications 
I08861 
2018 
eBook 

15 
Poincar??, Henri 
The ThreeBody Problem and the Equations of Dynamics 
I08631 
2017 
eBook 

16 
Shevchenko, Ivan I 
Dynamical Chaos in Planetary Systems 
I08621 
2020 
eBook 

17 
Garbaczewski, Piotr 
Dynamics of Dissipation 
I11365 
2002 
eBook 

18 
Lakshmanan, Muthusamy 
Nonlinear Dynamics 
I11306 
2003 
eBook 

19 
Contopoulos, George 
Order and Chaos in Dynamical Astronomy 
I11280 
2002 
eBook 

20 
Grammaticos, Basil 
Discrete Integrable Systems 
I11252 
2004 
eBook 


11.


Title  Probability and Stochastic Processes for Physicists 
Author(s)  Cufaro Petroni, Nicola 
Publication  Cham, Springer International Publishing, 2020. 
Description  XIII, 373 p. 51 illus., 43 illus. in color : online resource 
Abstract Note  This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jumpdiffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein???Smoluchowski and Ornstein???Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schr??dinger equation and diffusion processes along the lines of Nelson???s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thoughtprovoking topics 
ISBN,Price  9783030484088 
Keyword(s)  1. DYNAMICAL SYSTEMS
2. Dynamical Systems and Ergodic Theory
3. DYNAMICS
4. EBOOK
5. EBOOK  SPRINGER
6. ERGODIC THEORY
7. Mathematical Methods in Physics
8. MATHEMATICAL PHYSICS
9. PHYSICS
10. PROBABILITIES
11. Probability Theory and Stochastic Processes
12. QUANTUM PHYSICS
13. Theoretical, Mathematical and Computational Physics
14. VIBRATION
15. Vibration, Dynamical Systems, Control

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09108 


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12.


Title  Bifurcation and Stability in Nonlinear Discrete Systems 
Author(s)  Luo, Albert C. J 
Publication  Singapore, Springer Singapore, 2020. 
Description  X, 313 p. 43 illus., 16 illus. in color : online resource 
Abstract Note  This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period1 fixedpoints on a specific eigenvector direction, and discusses the corresponding higherorder singularity of fixedpoints. Further, it explores the global analysis of monotonic and oscillatory stability of fixedpoints in 1dimensional discrete systems through 1dimensional polynomial discrete systems. Based on the YinYang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixedpoints in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinitefixedpoint discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems 
ISBN,Price  9789811552120 
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 
I09015 


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13.


Title  Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities 
Author(s)  Akhmet, Marat;Kashkynbayev, Ardak 
Publication  Singapore, Springer Singapore, 2017. 
Description  XI, 166 p. 31 illus., 26 illus. in color : online resource 
Abstract Note  This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the righthandside or in trajectories or in the arguments of solutions of equations. The results obtained in this book can be applied to various fields such as neural networks, brain dynamics, mechanical systems, weather phenomena, population dynamics, etc. Without any doubt, bifurcation theory should be further developed to different types of differential equations. In this sense, the present book will be a leading one in this field. The reader will benefit from the recent results of the theory and will learn in the very concrete way how to apply this theory to differential equations with various types of discontinuity. Moreover, the reader will learn new ways to analyze nonautonomous bifurcation scenarios in these equations. The book will be of a big interest both for ??beginners and experts in the field. For the former group of specialists, that is, undergraduate and graduate students, the book will be useful since it provides a strong impression that bifurcation theory can be developed not only for discrete and continuous systems, but those which combine these systems in very different ways. The latter group of specialists will find in this book several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impacts, differential equations with piecewise constant arguments of generalized type and Filippov systems. A significant benefit of the present book is expected to be for those who consider bifurcations in systems with impulses since they are presumably nonautonomous systems 
ISBN,Price  9789811031809 
Keyword(s)  1. Applications of Nonlinear Dynamics and Chaos Theory
2. Control and Systems Theory
3. Control engineering
4. Difference and Functional Equations
5. DIFFERENCE EQUATIONS
6. DIFFERENTIAL EQUATIONS
7. Dynamical Systems and Ergodic Theory
8. DYNAMICS
9. EBOOK
10. EBOOK  SPRINGER
11. ERGODIC THEORY
12. FUNCTIONAL EQUATIONS
13. ORDINARY DIFFERENTIAL EQUATIONS
14. STATISTICAL PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I08930 


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14.


Title  Mathematical Modeling Through Topological Surgery and Applications 
Author(s)  Antoniou, Stathis 
Publication  Cham, Springer International Publishing, 2018. 
Description  XVII, 85 p. 37 illus., 27 illus. in color : online resource 
Abstract Note  Topological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1dimensional surgery happens during DNA recombination and when cosmic magnetic lines reconnect; 2dimensional surgery happens during tornado formation and cell mitosis; and they conjecture that 3dimensional surgery happens during the formation of black holes from cosmic strings, offering an explanation for the existence of a black hole???s singularity. Inspired by such phenomena, the authors present a new topological model that extends the formal definition to a continuous process caused by local forces. Lastly, they describe an intrinsic connection between topological surgery and a chaotic dynamical system exhibiting a ???hole drilling??? behavior. The authors??? model indicates where to look for the forces causing surgery and what deformations should be observed in the local submanifolds involved. These predictions are significant for the study of phenomena exhibiting surgery and they also open new research directions. This novel study enables readers to gain a better understanding of the topology and dynamics of various natural phenomena, as well as topological surgery itself and serves as a basis for many more insightful observations and new physical implications 
ISBN,Price  9783319970677 
Keyword(s)  1. COSMOLOGY
2. Dynamical Systems and Ergodic Theory
3. DYNAMICS
4. EBOOK
5. EBOOK  SPRINGER
6. ERGODIC THEORY
7. Mathematical Methods in Physics
8. PHYSICS
9. STATISTICAL PHYSICS
10. Statistical Physics and Dynamical Systems
11. TOPOLOGY

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Call#  Status  Issued To  Return Due On  Physical Location 
I08861 


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16.


Title  Dynamical Chaos in Planetary Systems 
Author(s)  Shevchenko, Ivan I 
Publication  Cham, Springer International Publishing, 2020. 
Description  XII, 376 p. 139 illus., 46 illus. in color : online resource 
Abstract Note  This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics 
ISBN,Price  9783030521448 
Keyword(s)  1. ASTROPHYSICS
2. Astrophysics and Astroparticles
3. CLASSICAL MECHANICS
4. DYNAMICAL SYSTEMS
5. Dynamical Systems and Ergodic Theory
6. DYNAMICS
7. EBOOK
8. EBOOK  SPRINGER
9. ERGODIC THEORY
10. MECHANICS
11. VIBRATION
12. Vibration, Dynamical Systems, Control

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08621 


On Shelf 




17.


Title  Dynamics of Dissipation 
Author(s)  Garbaczewski, Piotr;Olkiewicz, Robert 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2002. 
Description  X, 516 p : online resource 
Abstract Note  This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environmentsystem coupling (decoherence) and applications of Markov semigroups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material 
ISBN,Price  9783540461227 
Keyword(s)  1. COMPLEX SYSTEMS
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. THERMODYNAMICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11365 


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18.


Title  Nonlinear Dynamics : Integrability, Chaos and Patterns 
Author(s)  Lakshmanan, Muthusamy;Rajaseekar, Shanmuganathan 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2003. 
Description  XX, 620 p : online resource 
Abstract Note  Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a selfcontained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present indepth mathematical formulations involved in the analysis of various nonlinear systems 
ISBN,Price  9783642556883 
Keyword(s)  1. APPLIED MATHEMATICS
2. CLASSICAL MECHANICS
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. Dynamical Systems and Ergodic Theory
6. DYNAMICS
7. EBOOK
8. EBOOK  SPRINGER
9. ENGINEERING MATHEMATICS
10. ERGODIC THEORY
11. Mathematical and Computational Engineering
12. MATHEMATICAL PHYSICS
13. MECHANICS
14. STATISTICAL PHYSICS
15. Statistical Physics and Dynamical Systems
16. Theoretical, Mathematical and Computational Physics

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11306 


On Shelf 




19.


Title  Order and Chaos in Dynamical Astronomy 
Author(s)  Contopoulos, George 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2002. 
Description  XIII, 624 p : online resource 
Abstract Note  The study of orbits in dynamical systems and the theory of order and chaos has progressed enormously over the last few decades. It thus became an essential tool in dynamical astronomy. The book is the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos has a profound impact on galactic dynamics. It has even invaded celestial mechanics, since chaos was found in the solar system which in the past was considered as a prototype of order. The book provides a unifying approach to these topics from an author who has spent more than 50 years of research in the field. The first part treats order and chaos in general. The other two parts deal with order and chaos in galaxies and with other applications in dynamical astronomy, ranging from celestial mechanics to general relativity and cosmology. This book, addressing especially the astrophysics, is also written as a textbook on dynamical systems for students in physics 
ISBN,Price  9783662049174 
Keyword(s)  1. ASTRONOMY
2. Astronomy, Astrophysics and Cosmology
3. ASTROPHYSICS
4. Astrophysics and Astroparticles
5. COMPLEX SYSTEMS
6. DIFFERENTIAL EQUATIONS
7. DYNAMICAL SYSTEMS
8. Dynamical Systems and Ergodic Theory
9. DYNAMICS
10. EBOOK
11. EBOOK  SPRINGER
12. ERGODIC THEORY
13. MATHEMATICAL PHYSICS
14. ORDINARY DIFFERENTIAL EQUATIONS
15. STATISTICAL PHYSICS
16. Theoretical, Mathematical and Computational Physics

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11280 


On Shelf 




20.
 
Title  Discrete Integrable Systems 
Author(s)  Grammaticos, Basil;KosmannSchwarzbach, Yvette;Tamizhmani, Thamizharasi 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2004. 
Description  XVIII, 441 p : online resource 
Abstract Note  This volume consists of a set of ten lectures conceived as both introduction and uptodate survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (SpringerVerlag, 2004, LNP 638, ISBN 3540206302). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics 
ISBN,Price  9783540403579 
Keyword(s)  1. Dynamical Systems and Ergodic Theory
2. DYNAMICS
3. EBOOK
4. EBOOK  SPRINGER
5. ERGODIC THEORY
6. Mathematical Methods in Physics
7. PARTIAL DIFFERENTIAL EQUATIONS
8. PHYSICS

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11252 


On Shelf 



 