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Author  Title  Accn#  Year  Item Type  Claims 
21 
Papachristou, Costas J 
Aspects of Integrability of Differential Systems and Fields 
I09485 
2019 
eBook 

22 
Akhmet, Marat 
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities 
I08930 
2017 
eBook 

23 
TahirKheli, Raza 
Ordinary Differential Equations 
I08768 
2018 
eBook 

24 
Coley, A.A 
Dynamical Systems and Cosmology 
I11465 
2003 
eBook 

25 
Contopoulos, George 
Order and Chaos in Dynamical Astronomy 
I11280 
2002 
eBook 

26 
Vakakis, Alexander F 
Normal Modes and Localization in Nonlinear Systems 
I10997 
2001 
eBook 

27 
Lynch, Stephen 
Dynamical Systems with Applications using MAPLE 
I10751 
2001 
eBook 

28 
KosmannSchwarzbach, Yvette 
Integrability of Nonlinear Systems 
I10537 
2004 
eBook 

29 
Jeffrey, Alan 
Matrix Operations for Engineers and Scientists 
I07416 
2010 
eBook 

30 
Exner, Pavel 
Quantum Waveguides 
I06456 
2015 
eBook 


22.


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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I08930 


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23.


Title  Ordinary Differential Equations : Mathematical Tools for Physicists 
Author(s)  TahirKheli, Raza 
Publication  Cham, Springer International Publishing, 2018. 
Description  XXII, 408 p. 65 illus., 1 illus. in color : online resource 
Abstract Note  This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE ). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical problems. Solving these problems is of interest primarily to students of science, such as physics, engineering, biology and chemistry. Scientists are greatly assisted by using the DO obeying several simple algebraic rules. The book describes these rules and, to help the reader, the vocabulary and the definitions used throughout the text are provided. A thorough description of the relatively straightforward methodology for solving ODE is given. The book provides solutions to a large number of associated problems. ODE that are integrable, or those that have one of the two variables missing in any explicit form are also treated with solved problems. The physics and applicable mathematics are explained and many associated problems are analyzed and solved in detail. Numerical solutions are analyzed and the level of exactness obtained under various approximations is discussed in detail. 
ISBN,Price  9783319764061 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Mathematical Applications in the Physical Sciences
5. Mathematical Methods in Physics
6. MATHEMATICAL PHYSICS
7. MECHANICS
8. Mechanics, Applied
9. ORDINARY DIFFERENTIAL EQUATIONS
10. PHYSICS
11. Theoretical and Applied Mechanics

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Call#  Status  Issued To  Return Due On  Physical Location 
I08768 


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24.


Title  Dynamical Systems and Cosmology 
Author(s)  Coley, A.A 
Publication  Dordrecht, Springer Netherlands, 2003. 
Description  VIII, 195 p : online resource 
Abstract Note  Dynamical systems theory is especially wellsuited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of selfsimilar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action. This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology 
ISBN,Price  9789401703277 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. Astronomy, Observations and Techniques
4. Astronomy???Observations
5. Classical and Quantum Gravitation, Relativity Theory
6. COSMOLOGY
7. DIFFERENTIAL EQUATIONS
8. EBOOK
9. EBOOK  SPRINGER
10. ENGINEERING MATHEMATICS
11. GRAVITATION
12. MATHEMATICAL PHYSICS
13. Observations, Astronomical
14. ORDINARY DIFFERENTIAL EQUATIONS
15. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I11465 


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25.


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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Call#  Status  Issued To  Return Due On  Physical Location 
I11280 


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26.


Title  Normal Modes and Localization in Nonlinear Systems 
Author(s)  Vakakis, Alexander F 
Publication  Dordrecht, Springer Netherlands, 2001. 
Description  VI, 294 p : online resource 
Abstract Note  The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integralpartial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin?? earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a singlemode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the singlemode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ??n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ??n. Therefore, in the case of largeamplitude oscillations, the singlemode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996 
ISBN,Price  9789401724524 
Keyword(s)  1. CLASSICAL MECHANICS
2. DIFFERENTIAL EQUATIONS
3. DYNAMICAL SYSTEMS
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. MECHANICS
8. ORDINARY DIFFERENTIAL EQUATIONS
9. PARTIAL DIFFERENTIAL EQUATIONS
10. VIBRATION
11. Vibration, Dynamical Systems, Control

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Call#  Status  Issued To  Return Due On  Physical Location 
I10997 


On Shelf 




27.


Title  Dynamical Systems with Applications using MAPLE 
Author(s)  Lynch, Stephen 
Publication  Boston, MA, 1. Birkh??user Boston
2. Imprint: Birkh??user, 2001. 
Description  XIII, 399 p. 83 illus : online resource 
Abstract Note  "The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple." ???UK Nonlinear News (Review of First Edition) "The book will be useful for all kinds of dynamical systems courses???. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. ??? [It] is well written and a pleasure to read, which is helped by its attention to historical background." ???Mathematical Reviews (Review of First Edition) Since the first edition of this book was published in 2001, Maple??? has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, Gr??bner bases, and chaos synchronization. The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters. The book has a handson approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author???s website. Additional applications and further links of interest may be found at Maplesoft???s Application Center. Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering. ISBN 9780817643898 ?? Also by the author: Dynamical Systems with Applications using MATLAB??, ISBN 9780817643218 Dynamical Systems with Applications using Mathematica??, ISBN 9780817644826 
ISBN,Price  9781489928498 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. COMPLEXITY
4. COMPUTATIONAL COMPLEXITY
5. Computational Mathematics and Numerical Analysis
6. Computer mathematics
7. DIFFERENTIAL EQUATIONS
8. EBOOK
9. EBOOK  SPRINGER
10. ENGINEERING MATHEMATICS
11. Mathematical Modeling and Industrial Mathematics
12. MATHEMATICAL MODELS
13. MATHEMATICAL PHYSICS
14. ORDINARY DIFFERENTIAL EQUATIONS
15. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I10751 


On Shelf 




28.


Title  Integrability of Nonlinear Systems 
Author(s)  KosmannSchwarzbach, Yvette;Grammaticos, Basil;Tamizhmani, K.M 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2004. 
Description  XII, 340 p : online resource 
Abstract Note  The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. 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  9783540409625 
Keyword(s)  1. COMPLEX SYSTEMS
2. DIFFERENTIAL EQUATIONS
3. DYNAMICAL SYSTEMS
4. EBOOK
5. EBOOK  SPRINGER
6. Mathematical Methods in Physics
7. ORDINARY DIFFERENTIAL EQUATIONS
8. PARTIAL DIFFERENTIAL EQUATIONS
9. PHYSICS
10. STATISTICAL PHYSICS
11. Statistical Physics and Dynamical Systems

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Call#  Status  Issued To  Return Due On  Physical Location 
I10537 


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29.


Title  Matrix Operations for Engineers and Scientists : An Essential Guide in Linear Algebra 
Author(s)  Jeffrey, Alan 
Publication  Dordrecht, Springer Netherlands, 2010. 
Description  IV, 278 p : online resource 
Abstract Note  Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the Univesity of Newcastle upon Tyne. He has given courses on engineering mathematics in UK and US Universities 
ISBN,Price  9789048192748 
Keyword(s)  1. ALGEBRA
2. APPLIED MATHEMATICS
3. DIFFERENTIAL EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. Linear and Multilinear Algebras, Matrix Theory
8. Mathematical and Computational Engineering
9. Mathematical Methods in Physics
10. MATRIX THEORY
11. ORDINARY DIFFERENTIAL EQUATIONS
12. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I07416 


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30.
 
Title  Quantum Waveguides 
Author(s)  Exner, Pavel;Kova????k, Hynek 
Publication  Cham, Springer International Publishing, 2015. 
Description  XXII, 382 p. 9 illus., 3 illus. in color : online resource 
Abstract Note  This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly selfcontained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field 
ISBN,Price  9783319185767 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. OPERATOR THEORY
7. ORDINARY DIFFERENTIAL EQUATIONS
8. PHYSICS
9. QUANTUM PHYSICS
10. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I06456 


On Shelf 



 