Two Dimensional Single Variable Cubic Nonlinear Systems Vol Ii

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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571077
Total Pages : 0 pages
Book Rating : 4.5/5 (71 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. 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

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571114
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III written by Albert C. J. Luo and published by Springer. This book was released on 2024-06-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571152
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source and center are presented, and the networks of the hyperbolic flows with paralleled saddle and center are also illustrated. Readers will learn new concepts, theory, phenomena, and analysis techniques. Product-quadratic and product cubic systems Self-linear and crossing-quadratic product vector fields Self-quadratic and crossing-linear product vector fields Hybrid networks of equilibriums and 1-dimensional flows Up-down and down-up saddle infinite-equilibriums Up-down and down-up sink-to-source infinite-equilibriums Inflection-source (sink) Infinite-equilibriums Diagonal inflection saddle infinite-equilibriums Infinite-equilibrium switching bifurcations

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031484711
Total Pages : 0 pages
Book Rating : 4.4/5 (847 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I written by Albert C. J. Luo and published by Springer. This book was released on 2024-07-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.

Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031628092
Total Pages : 0 pages
Book Rating : 4.6/5 (28 download)

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Book Synopsis Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV by : Albert C. J. Luo

Download or read book Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV written by Albert C. J. Luo and published by Springer. This book was released on 2024-08-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one vector field is crossing-cubic, and the other vector field can be constant, crossing-linear, crossing-quadratic, and crossing-cubic. For constant vector fields, the dynamical systems possess 1-dimensional flows, such as parabola and inflection flows plus third-order parabola flows. For crossing-linear and crossing-cubic systems, the dynamical systems possess saddle and center equilibriums, parabola-saddles, third-order centers and saddles (i.e, (3rd UP+:UP+)-saddle and (3rdUP-:UP-)-saddle) and third-order centers (i.e., (3rd DP+:DP-)-center, (3rd DP-, DP+)-center) . For crossing-quadratic and crossing-cubic systems, in addition to the first and third-order saddles and centers plus parabola-saddles, there are (3:2)parabola-saddle and double-inflection saddles, and for the two crossing-cubic systems, (3:3)-saddles and centers exist. Finally,the homoclinic orbits with centers can be formed, and the corresponding homoclinic networks of centers and saddles exist. 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

Two-Dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 9811678731
Total Pages : 692 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Two-Dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-Dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on 2023-04-19 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert’s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.

Two-Dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 9811678693
Total Pages : 453 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Two-Dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-Dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on 2022-03-29 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Cubic Dynamical Systems, Vol. V

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031570919
Total Pages : 0 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Cubic Dynamical Systems, Vol. V by : Albert C. J. Luo

Download or read book Cubic Dynamical Systems, Vol. V written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.

Two-dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher :
ISBN 13 : 9788981167868
Total Pages : 0 pages
Book Rating : 4.1/5 (678 download)

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Book Synopsis Two-dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

Author : Peter D. Miller
Publisher : Springer Nature
ISBN 13 : 1493998064
Total Pages : 528 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Nonlinear Dispersive Partial Differential Equations and Inverse Scattering by : Peter D. Miller

Download or read book Nonlinear Dispersive Partial Differential Equations and Inverse Scattering written by Peter D. Miller and published by Springer Nature. This book was released on 2019-11-14 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures and invited papers from the Focus Program on "Nonlinear Dispersive Partial Differential Equations and Inverse Scattering" held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. The program included Percy Deift’s Coxeter lectures, which appear in this volume together with tutorial lectures given during the first week of the focus program. The research papers collected here include new results on the focusing nonlinear Schrödinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as the Kadomtsev-Petviashvili II equation, the Zakharov-Kuznetsov equation, and the Gross-Pitaevskii equation as dispersive PDE in two space dimensions. The Focus Program coincided with the fiftieth anniversary of the discovery by Gardner, Greene, Kruskal and Miura that the Korteweg-de Vries (KdV) equation could be integrated by exploiting a remarkable connection between KdV and the spectral theory of Schrodinger's equation in one space dimension. This led to the discovery of a number of completely integrable models of dispersive wave propagation, including the cubic NLS equation, and the derivative NLS equation in one space dimension and the Davey-Stewartson, Kadomtsev-Petviashvili and Novikov-Veselov equations in two space dimensions. These models have been extensively studied and, in some cases, the inverse scattering theory has been put on rigorous footing. It has been used as a powerful analytical tool to study global well-posedness and elucidate asymptotic behavior of the solutions, including dispersion, soliton resolution, and semiclassical limits.

Dynamics of Civil Structures, Volume 2

Author : Juan Caicedo
Publisher : Springer
ISBN 13 : 3319152483
Total Pages : 557 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Dynamics of Civil Structures, Volume 2 by : Juan Caicedo

Download or read book Dynamics of Civil Structures, Volume 2 written by Juan Caicedo and published by Springer. This book was released on 2015-05-08 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of Civil Structures, Volume 2. Proceedings of the 33rd IMAC, , A Conference and Exposition on Balancing Simulation and Testing, 2015, the second volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Modal Parameter Identification Dynamic Testing of Civil Structures Human Induced Vibrations of Civil Structures Correlation & Updating Operational Modal Analysis Damage Detection of Structures Bridge Structures Damage Detection Models Experimental Techniques for Civil Structures

Two-dimensional Self and Product Cubic Systems, Vol. II

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031570995
Total Pages : 0 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Two-dimensional Self and Product Cubic Systems, Vol. II by : Albert C. J. Luo

Download or read book Two-dimensional Self and Product Cubic Systems, Vol. II written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center).

Cubic Dynamical Systems, Vol. X

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031484902
Total Pages : 0 pages
Book Rating : 4.4/5 (849 download)

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Book Synopsis Cubic Dynamical Systems, Vol. X by : Albert C. J. Luo

Download or read book Cubic Dynamical Systems, Vol. X written by Albert C. J. Luo and published by Springer. This book was released on 2024-06-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically: · Inflection-saddle infinite-equilibriums, · Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums · Up-down and down-up saddle infinite-equilibriums, · Inflection-source (sink) infinite-equilibriums.

Nonlinear Waves

Author : Emmanuel Kengne
Publisher : Springer Nature
ISBN 13 : 981196744X
Total Pages : 525 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Nonlinear Waves by : Emmanuel Kengne

Download or read book Nonlinear Waves written by Emmanuel Kengne and published by Springer Nature. This book was released on 2023-02-23 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose–Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross–Pitaevskii equations. Based on the Heisenberg model of spin–spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering.

Nonlinear Dynamics

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
ISBN 13 : 3642556884
Total Pages : 628 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonlinear Dynamics by : Muthusamy Lakshmanan

Download or read book Nonlinear Dynamics written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Schrödinger Equations in Nonlinear Systems

Author : Wu-Ming Liu
Publisher : Springer
ISBN 13 : 9811365814
Total Pages : 569 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Schrödinger Equations in Nonlinear Systems by : Wu-Ming Liu

Download or read book Schrödinger Equations in Nonlinear Systems written by Wu-Ming Liu and published by Springer. This book was released on 2019-03-20 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schrödinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.

Scattering, Two-Volume Set

Author : E. R. Pike
Publisher : Elsevier
ISBN 13 : 0080540732
Total Pages : 1831 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Scattering, Two-Volume Set by : E. R. Pike

Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering