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1 Luo, Albert C. J Two-dimensional??Self-independent Variable??Cubic Nonlinear Systems I13213 2024 eBook  
2 Luo, Albert C. J Two-dimensional Product-Cubic Systems, Vol. I I13207 2024 eBook  
3 Yang, Bo Rogue Waves in Integrable Systems I13194 2024 eBook  
4 Saha, Asit Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 2 I13186 2024 eBook  
5 Abe, Daisei Formation and Evolution of Star-Forming Filaments in Molecular Clouds I13145 2024 eBook  
6 Saha, Asit Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1 I13142 2024 eBook  
7 Kevrekidis, Panayotis G Fractional Dispersive Models and Applications I13005 2024 eBook  
8 Belhaq, Mohamed Advances in Nonlinear Dynamics and Control of Mechanical and Physical Systems I12978 2024 eBook  
9 Wan Hassan, Wan Muhamad Saridan Physics???Problems, Solutions, and Computer Calculations I12915 2023 eBook  
10 Mallick, Prabal Kumar Fundamentals of Molecular Spectroscopy I12785 2023 eBook  
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TitleTwo-dimensional??Self-independent Variable??Cubic Nonlinear Systems
Author(s)Luo, Albert C. J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionX, 275 p. 33 illus., 32 illus. in color : online resource
Abstract NoteThis book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems discussed, the dynamical systems possess source, sink and saddle equilibriums, saddle-source and saddle-sink, third-order sink and source (i.e, (3rd SI:SI)-sink and (3rdSO:SO)-source) and third-order source (i.e., (3rd SO:SI)-saddle, (3rd SI, SO)-saddle) . For self-quadratic and self-cubic systems, in addition to the first and third-order sink, source and saddles plus saddle-source and saddle-sink, there are (3:2)-saddle-sink and (3:2) saddle-source and double-saddles. For the two self-cubic systems, (3:3)-source, sink and saddles exist. Finally, the author describes that homoclinic orbits without centers can be formed, and the corresponding homoclinic networks of source, sink and saddles exists. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems; Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-saddles; Develops homoclinic networks of source, sink and saddles
ISBN,Price9783031571121
Keyword(s)1. Applied Dynamical Systems 2. DYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MECHANICS 6. Mechanics, Applied 7. Multibody systems 8. Multibody Systems and Mechanical Vibrations 9. NONLINEAR THEORIES 10. PLASMA WAVES 11. VIBRATION 12. Waves, instabilities and nonlinear plasma dynamics
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TitleTwo-dimensional Product-Cubic Systems, Vol. I : Constant and Linear Vector Fields
Author(s)Luo, Albert C. J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionX, 250 p. 46 illus., 45 illus. in color : online resource
Abstract NoteThis book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations. Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields; Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow; Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow.
ISBN,Price9783031570926
Keyword(s)1. Applied Dynamical Systems 2. Computational Science and Engineering 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MECHANICS 7. MATHEMATICS 8. Mechanics, Applied 9. Multibody systems 10. Multibody Systems and Mechanical Vibrations 11. NONLINEAR THEORIES 12. PLASMA WAVES 13. VIBRATION 14. Waves, instabilities and nonlinear plasma dynamics
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I13207     On Shelf    

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TitleRogue Waves in Integrable Systems
Author(s)Yang, Bo;Yang, Jianke
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXI, 416 p. 102 illus., 99 illus. in color : online resource
Abstract NoteThis book offers a holistic picture of rogue waves in integrable systems. Rogue waves are a rare but extreme phenomenon that occur most famously in water, but also in other diverse contexts such as plasmas, optical fibers and Bose-Einstein condensates where, despite the seemingly disparate settings, a common theoretical basis exists. This book presents the physical derivations of the underlying integrable nonlinear partial differential equations, derives the explicit and compact rogue wave solutions in these integrable systems, and analyzes rogue wave patterns that arise in these solutions, for many integrable systems and in multiple physical contexts. Striking a balance between theory and experiment, the book also surveys recent experimental insights into rogue waves in water, optical fibers, plasma, and Bose-Einstein condensates. In taking integrable nonlinear wave systems as a starting point, this book will be of interest to a broad cross section of researchers and graduate students in physics and applied mathematics who encounter nonlinear waves
ISBN,Price9783031667930
Keyword(s)1. CONTINUUM MECHANICS 2. DIFFERENTIAL EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. FIBER OPTICS 6. MATHEMATICAL PHYSICS 7. PLASMA WAVES 8. Quantum Gases and Condensates 9. QUANTUM STATISTICS 10. Waves, instabilities and nonlinear plasma dynamics
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TitleProceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 2 : Complex Systems, Fractals and Nonlinear Flows
Author(s)Saha, Asit;Banerjee, Santo
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXVII, 690 p. 334 illus., 311 illus. in color : online resource
Abstract NoteThis book covers the latest advancements and applications of nonlinear dynamics in various fields of science and engineering, presenting a curated selection of peer-reviewed contributions at the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) at Sikkim Manipal Institute of Technology (SMIT). Organized by the Department of Mathematics, SMIT, SMU, this international conference provides a platform for scientists, researchers, and inventors to share their findings and exchange ideas in the ever-evolving field of nonlinear dynamics. This book comprises three volumes. Volume 2 focuses on chaos, complexity, and fractals in dynamical systems. It covers topics such as novel methods for solving population balance models; analysis of fractal structures and nonlinear partial differential equations; dynamics of disease therapy and cytokine interactions; stability and behavior of predator-prey and ecological systems; fluid dynamics and heat transfer in nanofluids; and numerical and analytical approaches to material and structural optimization
ISBN,Price9783031691348
Keyword(s)1. BIOINFORMATICS 2. COMPLEX SYSTEMS 3. Computational and Systems Biology 4. EBOOK 5. EBOOK - SPRINGER 6. FLUIDS 7. MACHINE LEARNING 8. PLASMA WAVES 9. QUANTUM COMMUNICATION 10. Quantum Communications and Cryptography 11. Soft condensed matter 12. SYSTEM THEORY 13. Waves, instabilities and nonlinear plasma dynamics
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TitleFormation and Evolution of Star-Forming Filaments in Molecular Clouds
Author(s)Abe, Daisei
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionXII, 99 p. 47 illus., 43 illus. in color : online resource
Abstract NoteThis book clears up some confusion in the field of star formation and proposes a solution to a problem that remains unsolved for more than a decade. Observations of molecular clouds show that dense filaments are the sites of present-day star formation, and it is thus necessary to understand the filament formation process because the filament is an initial condition in a star formation process. Theoretical studies suggest that shock waves in molecular clouds trigger filament formation. Several different mechanisms have been proposed, and the formation mechanism of the observed star-forming filaments is expected to be clarified. In this book, the author performs a series of isothermal magnetohydrodynamics (MHD) simulations of filament formation and identifies the formation mechanisms. It is found that the dominant filament formation mode changes with the velocity of the shock waves that trigger the filament formation. The filament width plays an important role in determining the fragmentation scale by self-gravity, and observations show that the width 0.1 pc is universal. On the other hand, in theory the width of the supercritical filaments was considered to be narrowed by self-gravity. Recent studies suggest that massive filaments are bound by the slow shocks that are caused by accretion flows onto the filaments. Since the wavefront of such a slow shock is known to be unstable as a slow shock instability (SSI), the accretion ram pressure is expected to be converted into thermal/turbulent pressure across the shock front, which potentially maintains the width. In the scale of dense filaments, ambipolar diffusion (AD) suppresses the SSI at small scales. The influence of AD on SSI is investigated using two-dimensional MHD simulations, and the nonlinear evolution of the SSI with AD is found to drive turbulences. The book demonstrate the effect of SSI including AD onto the filament evolution
ISBN,Price9789819764143
Keyword(s)1. Astrophysical Plasma 2. ASTROPHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. PLASMA ASTROPHYSICS 6. PLASMA TURBULENCE 7. PLASMA WAVES 8. Turbulence in plasmas 9. Waves, instabilities and nonlinear plasma dynamics
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TitleProceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1 : Nonlinear Waves and Plasma Dynamics
Author(s)Saha, Asit;Banerjee, Santo
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXVIII, 692 p. 313 illus., 304 illus. in color : online resource
Abstract NoteThis book covers the latest advancements and applications of nonlinear dynamics in various fields of science and engineering, presenting a curated selection of peer-reviewed contributions at the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) at Sikkim Manipal Institute of Technology (SMIT). Organized by the Department of Mathematics, SMIT, SMU, this international conference provides a platform for scientists, researchers, and inventors to share their findings and exchange ideas in the ever-evolving field of nonlinear dynamics. This book comprises three volumes. Volume 1 focuses on the investigation of nonlinear waves and plasma dynamics. It covers topics such as strong Landau damping, electron plasma waves, ion-acoustic waves, dusty plasma, dust-acoustic waves, dust-ion-acoustic waves, kinetic Alfven waves, solitary wave, shock waves, periodic wave, cnoidal wave, superperiodic wave, soliton, resonance, lump soliton, multi-soliton, breather wave, upper hybrid wave, atmospheric internal wave, mathematical and analytical methods, quantum and relativistic plasmas, wave instabilities and interactions, fractional and complex systems, nonlinear optical phenomena, Gaussian laser beam, chaos and multistability, and other specific plasma studies
ISBN,Price9783031668746
Keyword(s)1. BIOINFORMATICS 2. COMPLEX SYSTEMS 3. Computational and Systems Biology 4. EBOOK 5. EBOOK - SPRINGER 6. FLUIDS 7. MACHINE LEARNING 8. PLASMA WAVES 9. QUANTUM COMMUNICATION 10. Quantum Communications and Cryptography 11. Soft condensed matter 12. SYSTEM THEORY 13. Waves, instabilities and nonlinear plasma dynamics
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I13142     On Shelf    

7.     
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TitleFractional Dispersive Models and Applications : Recent Developments and Future Perspectives
Author(s)Kevrekidis, Panayotis G;Cuevas-Maraver, Jes??s
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXV, 328 p. 94 illus., 78 illus. in color : online resource
Abstract NoteThis 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,Price9783031549786
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
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I13005     On Shelf    

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TitleAdvances in Nonlinear Dynamics and Control of Mechanical and Physical Systems : Selected Articles from CSNDD 2023; 15???17 May; Marrakesh, Morocco
Author(s)Belhaq, Mohamed
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionXIV, 279 p. 161 illus., 129 illus. in color : online resource
Abstract NoteThis book highlights recent advances in nonlinear dynamics and control with applications in mechanics and physics. The book includes selected articles from the 5th Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2023) and presents recent theoretical, experimental and numerical findings covering various topics in nonlinear structural dynamics and diagnosis. The main topics includes multiple scales dynamics, energy harvesting, dynamics of MEMS, NEMS and AFM, systems with time delay, quasi-periodic oscillations and synchronization, stochastic dynamics, analytical and semi-analytical methods, time series analysis, control and analysis of switching systems, structural health monitoring, nonlinear vibrations of structures, nonsmouth dynamics, nonlinear phenomena in discrete and continuum systems, dynamic modeling and fault diagnosis, constrained multi-catenary systems, conservative chaotic system, hysteretic structures, and nonlinear PDEs and their dynamics
ISBN,Price9789819979585
Keyword(s)1. COMPLEX SYSTEMS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. ENGINEERING MECHANICS 6. Mechanics, Applied 7. Microelectromechanical systems 8. Microsystems and MEMS 9. Microtechnology 10. NONLINEAR OPTICS 11. PLASMA WAVES 12. SYSTEM THEORY 13. Waves, instabilities and nonlinear plasma dynamics
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9.     
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TitlePhysics???Problems, Solutions, and Computer Calculations : Volume 2 Waves, Sound, Electricity, Magnetism, and Optics
Author(s)Wan Hassan, Wan Muhamad Saridan;Tamuri, Abd Rahman;Zaki Yaacob, Muhammad;Zainal, Roslinda
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXVII, 585 p. 719 illus., 71 illus. in color : online resource
Abstract NoteKnowledge of and skill in physics are essential foundations for studies in science and engineering. This book offers students an introduction to the basic concepts and principles of physics. It covers various topics specifically related to waves, sound, electricity, magnetism, and optics. Each chapter begins with a summary of concepts, principles, definitions, and formulae to be discussed, as well as ending with problems and solutions that illustrate the specific topic. Steps are detailed to help build reasoning and understanding. There are 250 worked problems and 100 exercises in the book, as well as 280 figures to help the reader visualize the processes being addressed. Computer calculations and solutions are carried out using wxMaxima to give insight and help build computational skills. The book is aimed at first-year undergraduate students studying introductory physics, and would also be useful for physics teachers in their instruction, particularly the exercises at the end of eachchapter
ISBN,Price9783031431654
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK - SPRINGER 4. OPTICS 5. Optics and Photonics 6. PLASMA WAVES 7. Waves, instabilities and nonlinear plasma dynamics
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I12915     On Shelf    

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TitleFundamentals of Molecular Spectroscopy
Author(s)Mallick, Prabal Kumar
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXXVIII, 475 p. 178 illus., 2 illus. in color : online resource
Abstract NoteThis book presents detailed aspects of different fields of molecular spectroscopy. It consists of eleven chapters starting from the Born???Oppenheimer approximation and its relevance to various spectra to some topics on nonlinear spectroscopy through rotational, vibrational, Raman, and electronic spectroscopy, group theoretical application, nuclear magnetic resonance, electron spin resonance, nuclear quadrupole resonance, and Mossbauer spectroscopy. The intention is to present a good background of the theoretical aspects of the concerned fields which will help the readers to understand the subject firmly and apply them to their own fields according to their needs. For this purpose, several problems have been worked out to make the readers understand how the theories are applied in the relevant practical cases. In this book, it is presumed that the readers are well acquainted with the fundamentals of the basic subjects of physics, for example, mathematical methods, classical mechanics, quantum mechanics, statistical mechanics, and electrodynamics. The purpose of writing is not only to bring a wider field in a single book but also to develop the theories starting from the fundamentals and also from the simple to the final forms through fairly elaborate powerful techniques so that the readers become self-sufficient and apply them accordingly. Since this book covers most of the major fields of molecular spectroscopy, it reduces the work of searching several publications and serves the purpose of getting detailed deductive pictures of various aspects of the subject in a single publication
ISBN,Price9789819907915
Keyword(s)1. Applied and Technical Physics 2. ATOMS 3. Atoms and molecules in external fields 4. EBOOK - SPRINGER 5. MOLECULAR SPECTROSCOPY 6. MOLECULES 7. PHYSICS 8. PLASMA WAVES 9. Waves, instabilities and nonlinear plasma dynamics
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