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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Kevrekidis, Panayotis G |
Fractional Dispersive Models and Applications |
I13005 |
2024 |
eBook |
|
| 2 |
Chong, Christopher |
Coherent Structures in Granular Crystals |
I09682 |
2018 |
eBook |
|
| 3 |
Kevrekidis, Panayotis G |
Emerging Frontiers in Nonlinear Science |
I08810 |
2020 |
eBook |
|
| 4 |
Kevrekidis, Panayotis G |
A Dynamical Perspective on the ??4 Model |
I08658 |
2019 |
eBook |
|
| 5 |
Kevrekidis, Panayotis G |
The Discrete Nonlinear Schr??dinger Equation |
I07641 |
2009 |
eBook |
|
| 6 |
Kevrekidis, Panayotis G |
Emergent Nonlinear Phenomena in Bose-Einstein Condensates |
I05459 |
2008 |
eBook |
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1.
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| Title | Fractional Dispersive Models and Applications : Recent Developments and Future Perspectives |
| Author(s) | Kevrekidis, Panayotis G;Cuevas-Maraver, Jes??s |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
| Description | XV, 328 p. 94 illus., 78 illus. in color : online resource |
| Abstract Note | This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems. While integer order PDEs have a long-standing history, the novel setting of fractional PDEs opens up new possibilities for the simulation of multi-physics phenomena. The book examines a range of relevant examples that showcase the seamless transition from wave propagation to diffusion or from local to non-local dynamics in both continuum and discrete systems. These systems have been argued as being particularly relevant in contexts such as nonlinear optics, lattice nonlinear dynamical systems, and dispersive nonlinear wave phenomena, where the exploration of the potential fractionality has emerged as a highly active topic for current studies. The volume consists of contributions from a diverse group of active scholars and experts across different fields, providing a detailed examination of the field's past, present, and future state-of-the-art in the interplay of fractional PDEs and nonlinear wave phenomena. It is intended to be of wide interest to both seasoned researchers and beginners in the Field of Nonlinear Science. This book sets the stage for the next decade of research and beyond and is a timely and relevant reference of choice for this crucial junction of current research |
| ISBN,Price | 9783031549786 |
| Keyword(s) | 1. BIOINFORMATICS
2. COMPLEX SYSTEMS
3. Computational and Systems Biology
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK - SPRINGER
7. NONLINEAR OPTICS
8. PLASMA WAVES
9. SYSTEM THEORY
10. Waves, instabilities and nonlinear plasma dynamics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I13005 |
|
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On Shelf |
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2.
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| Title | Coherent Structures in Granular Crystals : From Experiment and Modelling to Computation and Mathematical Analysis |
| Author(s) | Chong, Christopher;Kevrekidis, Panayotis G |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | XII, 94 p. 35 illus., 29 illus. in color : online resource |
| Abstract Note | This book summarizes a number of fundamental developments at the interface of granular crystals and the mathematical and computational analysis of some of their key localized nonlinear wave solutions. The subject presents a blend of the appeal of granular crystals as a prototypical engineering tested for a variety of diverse applications, the novelty in the nonlinear physics of its coherent structures, and the tractability of a series of mathematical and computational techniques to analyse them. While the focus is on principal one-dimensional solutions such as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., in two dimensions, chains with defects, heterogeneous settings, and other recent developments are discussed. The book appeals to researchers in the field, as well as for graduate and advanced undergraduate students. It will be of interest to mathematicians, physicists and engineers alike |
| ISBN,Price | 9783319778846 |
| Keyword(s) | 1. Amorphous substances
2. APPLIED MATHEMATICS
3. Complex fluids
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. Mathematical and Computational Engineering
8. Mathematical Applications in the Physical Sciences
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. PHYSICS
12. Soft and Granular Matter, Complex Fluids and Microfluidics
13. Structural Materials
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09682 |
|
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On Shelf |
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3.
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| Title | Emerging Frontiers in Nonlinear Science |
| Author(s) | Kevrekidis, Panayotis G;Cuevas-Maraver, Jes??s;Saxena, Avadh |
| Publication | Cham, Springer International Publishing, 2020. |
| Description | XXV, 373 p. 104 illus., 85 illus. in color : online resource |
| Abstract Note | This book explores the impact of nonlinearity on a broad range of areas, including time-honored fields such as biology, geometry, and topology, but also modern ones such as quantum mechanics, networks, metamaterials and artificial intelligence. The concept of nonlinearity is a universal feature in mathematics, physics, chemistry and biology, and is used to characterize systems whose behavior does not amount to a superposition of simple building blocks, but rather features complex and often chaotic patterns and phenomena. Each chapter of the book features a synopsis that not only recaps the recent progress in each field but also charts the challenges that lie ahead. This interdisciplinary book presents contributions from a diverse group of experts from various fields to provide an overview of each field???s past, present and future. It will appeal to both beginners and seasoned researchers in nonlinear science, numerous areas of physics (optics, quantum physics, biophysics), and applied mathematics (ODEs, PDEs, dynamical systems, machine learning) as well as engineering |
| ISBN,Price | 9783030449926 |
| Keyword(s) | 1. Applications of Graph Theory and Complex Networks
2. Applications of Nonlinear Dynamics and Chaos Theory
3. Biological systems
4. COMPLEX SYSTEMS
5. EBOOK
6. EBOOK - SPRINGER
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. QUANTUM COMPUTERS
10. Quantum computing
11. STATISTICAL PHYSICS
12. SYSTEM THEORY
13. Systems biology
14. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08810 |
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On Shelf |
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4.
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| Title | A Dynamical Perspective on the ??4 Model : Past, Present and Future |
| Author(s) | Kevrekidis, Panayotis G;Cuevas-Maraver, Jes??s |
| Publication | Cham, Springer International Publishing, 2019. |
| Description | XXI, 311 p. 116 illus., 84 illus. in color : online resource |
| Abstract Note | This book presents a careful selection of the most important developments of the ??4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the ??4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of ??4 (and ??6 ,??8 ,??12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves. |
| ISBN,Price | 9783030118396 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. ENGINEERING MATHEMATICS
4. Mathematical Applications in the Physical Sciences
5. Mathematical Methods in Physics
6. MATHEMATICAL PHYSICS
7. PHYSICS
8. SOLID STATE PHYSICS
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 |
| I08658 |
|
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On Shelf |
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5.
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| Title | The Discrete Nonlinear Schr??dinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives |
| Author(s) | Kevrekidis, Panayotis G |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. |
| Description | XX, 416 p. 512 illus., 85 illus. in color : online resource |
| Abstract Note | This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schr??dinger equation and the physical settings that it describes. It contains an introduction to the model, its systematic derivation and its connection to applications, a subsequent analysis of the existence and the stability of fundamental nonlinear structures in 1, 2 and even 3 spatial lattice dimensions. It also covers the case of defocusing nonlinearities, the modulational instabilities of plane wave solutions, and the extension to multi-component lattices. In addition, it features a final chapter on special topics written by a wide array of experts in the field, addressing through short reviews, areas of particular recent interest |
| ISBN,Price | 9783540891994 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. MATHEMATICAL PHYSICS
4. QUANTUM PHYSICS
5. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07641 |
|
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On Shelf |
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6.
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| Title | Emergent Nonlinear Phenomena in Bose-Einstein Condensates : Theory and Experiment |
| Author(s) | Kevrekidis, Panayotis G;Frantzeskakis, Dimitri J;Carretero-Gonz??lez, Ricardo |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. |
| Description | XXII, 405 p : online resource |
| Abstract Note | This book, written by experts in the fields of atomic physics and nonlinear science, consists of reviews of the current state of the art at the interface of these fields, as is exemplified by the modern theme of Bose-Einstein condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; manipulation of condensates; mathematical methods/rigorous results; and aspects beyond the mean field approach. A distinguishing feature of the contents is the detailed incorporation of both the experimental and theoretical viewpoints through subsections of the relevant chapters |
| ISBN,Price | 9783540735915 |
| Keyword(s) | 1. Condensed materials
2. EBOOK
3. EBOOK - SPRINGER
4. Fluid- and Aerodynamics
5. FLUIDS
6. Phase transformations (Statistical physics)
7. Quantum Gases and Condensates
8. THERMODYNAMICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05459 |
|
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On Shelf |
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