Symmetries And Nonlinear Phenomena

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Symmetries And Nonlinear Phenomena - Proceedings Of The International School On Applied Mathematics

Author : D Levi
Publisher : World Scientific
ISBN 13 : 9813201533
Total Pages : 473 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Symmetries And Nonlinear Phenomena - Proceedings Of The International School On Applied Mathematics by : D Levi

Download or read book Symmetries And Nonlinear Phenomena - Proceedings Of The International School On Applied Mathematics written by D Levi and published by World Scientific. This book was released on 1988-12-01 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from Sophus Lie, the invariance of a differential equation under its continuous group of symmetries has become a major tool for solving ordinary and partial differential equations, in particular, nonlinear ones. The proceedings focus on the application of these techniques to nonlinear partial differential equations. The state of the art in this field is presented clearly in a series of comprehensive lectures. Several lectures on applications point out the physical importance of such methods.

Fully Chaotic Maps and Broken Time Symmetry

Author : Dean J. Driebe
Publisher : Springer Science & Business Media
ISBN 13 : 9780792355649
Total Pages : 180 pages
Book Rating : 4.3/5 (556 download)

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Book Synopsis Fully Chaotic Maps and Broken Time Symmetry by : Dean J. Driebe

Download or read book Fully Chaotic Maps and Broken Time Symmetry written by Dean J. Driebe and published by Springer Science & Business Media. This book was released on 1999-02-28 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book providing an introduction to a new approach to the nonequilibrium statistical mechanics of chaotic systems. It shows how the dynamical problem in fully chaotic maps may be solved on the level of evolving probability densities. On this level, time evolution is governed by the Frobenius-Perron operator. Spectral decompositions of this operator for a variety of systems are constructed in generalized function spaces. These generalized spectral decompositions are of special interest for systems with invertible trajectory dynamics, as on the statistical level the new solutions break time symmetry and allow for a rigorous understanding of irreversibility. Several techniques for the construction of explicit spectral decompositions are given. Systems ranging from the simple one-dimensional Bernoulli map to an invertible model of deterministic diffusion are treated in detail. Audience: Postgraduate students and researchers in chaos, dynamical systems and statistical mechanics.

Numerical Solutions of Realistic Nonlinear Phenomena

Author : J. A. Tenreiro Machado
Publisher : Springer Nature
ISBN 13 : 3030371417
Total Pages : 231 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Numerical Solutions of Realistic Nonlinear Phenomena by : J. A. Tenreiro Machado

Download or read book Numerical Solutions of Realistic Nonlinear Phenomena written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2020-02-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.

Nonlinear Symmetries and Nonlinear Equations

Author : G. Gaeta
Publisher : Springer Science & Business Media
ISBN 13 : 9401110182
Total Pages : 275 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Nonlinear Symmetries and Nonlinear Equations by : G. Gaeta

Download or read book Nonlinear Symmetries and Nonlinear Equations written by G. Gaeta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of dift"erent physical situations -up to the point that a lot, if not most, of current fun damental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to dift"erential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool.

Quantum Theory and Symmetries

Author : M. B. Paranjape
Publisher : Springer Nature
ISBN 13 : 3030557774
Total Pages : 670 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Quantum Theory and Symmetries by : M. B. Paranjape

Download or read book Quantum Theory and Symmetries written by M. B. Paranjape and published by Springer Nature. This book was released on 2021 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models

Author : Roman M. Cherniha
Publisher : MDPI
ISBN 13 : 3038425265
Total Pages : 427 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models by : Roman M. Cherniha

Download or read book Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models written by Roman M. Cherniha and published by MDPI. This book was released on 2018-07-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Lie Theory and Its Applications" that was published in Symmetry

Symmetry, Phase Modulation and Nonlinear Waves

Author : Thomas J. Bridges
Publisher : Cambridge University Press
ISBN 13 : 1108101321
Total Pages : 240 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Symmetry, Phase Modulation and Nonlinear Waves by : Thomas J. Bridges

Download or read book Symmetry, Phase Modulation and Nonlinear Waves written by Thomas J. Bridges and published by Cambridge University Press. This book was released on 2017-07-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications.

Nonlinear Dynamics

Author : H.G Solari
Publisher : Routledge
ISBN 13 : 1351428306
Total Pages : 369 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Nonlinear Dynamics by : H.G Solari

Download or read book Nonlinear Dynamics written by H.G Solari and published by Routledge. This book was released on 2019-01-22 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and work

Lie Symmetry Analysis of Fractional Differential Equations

Author : Mir Sajjad Hashemi
Publisher : CRC Press
ISBN 13 : 1000068935
Total Pages : 223 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Lie Symmetry Analysis of Fractional Differential Equations by : Mir Sajjad Hashemi

Download or read book Lie Symmetry Analysis of Fractional Differential Equations written by Mir Sajjad Hashemi and published by CRC Press. This book was released on 2020-07-09 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences. During the last few decades fractional calculus has also been associated with the power law effects and its various applications. It is a natural to ask if fractional calculus, as a nonlocal calculus, can produce new results within the well-established field of Lie symmetries and their applications. In Lie Symmetry Analysis of Fractional Differential Equations the authors try to answer this vital question by analyzing different aspects of fractional Lie symmetries and related conservation laws. Finding the exact solutions of a given fractional partial differential equation is not an easy task, but is one that the authors seek to grapple with here. The book also includes generalization of Lie symmetries for fractional integro differential equations. Features Provides a solid basis for understanding fractional calculus, before going on to explore in detail Lie Symmetries and their applications Useful for PhD and postdoc graduates, as well as for all mathematicians and applied researchers who use the powerful concept of Lie symmetries Filled with various examples to aid understanding of the topics

Symmetries and Overdetermined Systems of Partial Differential Equations

Author : Michael Eastwood
Publisher : Springer Science & Business Media
ISBN 13 : 0387738312
Total Pages : 565 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Symmetries and Overdetermined Systems of Partial Differential Equations by : Michael Eastwood

Download or read book Symmetries and Overdetermined Systems of Partial Differential Equations written by Michael Eastwood and published by Springer Science & Business Media. This book was released on 2009-04-23 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

Nonlinear Magnetization Dynamics in Nanosystems

Author : Isaak D. Mayergoyz
Publisher : Elsevier
ISBN 13 : 0080913792
Total Pages : 479 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Nonlinear Magnetization Dynamics in Nanosystems by : Isaak D. Mayergoyz

Download or read book Nonlinear Magnetization Dynamics in Nanosystems written by Isaak D. Mayergoyz and published by Elsevier. This book was released on 2009-04-20 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: As data transfer rates increase within the magnetic recording industry, improvements in device performance and reliability crucially depend on the thorough understanding of nonlinear magnetization dynamics at a sub-nanoscale level. This book offers a modern, stimulating approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG) equation, analytical solutions, and the connection between the general topological and structural aspects of dynamics. An advanced reference for the study and understanding of nonlinear magnetization dynamics, it addresses situations such as the understanding of spin dynamics in short time scales and device performance and reliability in magnetic recording. Topics covered include nonlinear magnetization dynamics and the Landau-Lifshitz-Gilbert equation, nonlinear dynamical systems, spin waves, ferromagnetic resonance and pulsed magnetization switching. The book explains how to derive exact analytical solutions for the complete nonlinear problem and emphasises the connection between the general topological and structural aspects of nonlinear magnetization dynamics and the discretization schemes better suited to its numerical study. It is an exceptional research tool providing an advanced understanding of the study of magnetization dynamics in situations of fundamental and technological interest.

Optical Materials and Applications

Author : Moriaki Wakaki
Publisher : CRC Press
ISBN 13 : 135183729X
Total Pages : 320 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Optical Materials and Applications by : Moriaki Wakaki

Download or read book Optical Materials and Applications written by Moriaki Wakaki and published by CRC Press. This book was released on 2017-12-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definition of optical material has expanded in recent years, largely because of IT advances that have led to rapid growth in optoelectronics applications. Helping to explain this evolution, Optical Materials and Applications presents contributions from leading experts who explore the basic concepts of optical materials and the many typical applications in which they are used. An invaluable reference for readers ranging from professionals to technical managers to graduate engineering students, this book covers everything from traditional principles to more cutting-edge topics. It also details recent developmental trends, with a focus on basic optical properties of material. Key topics include: Fundamental optical properties of solids Fundamental optical materials (including thin films) from both linear and nonlinear perspectives Use of bulk materials in the design of various modifications Application of optical thin films in artificial components Formation of artificial structures with sub-wavelength dimensions Use of physical or chemical techniques to control lightwave phase One-, two-, and three-dimensional structures used to control dispersion of materials for nanophotonics Progress of the optical waveguide, which makes optical systems more compact and highly efficient This book carefully balances coverage of theory and application of typical optical materials for ultraviolet, visible and infrared, non-linear optics, solid state lasers, optical waveguides, optical thin films and nanophotonics. It addresses both basic ideas and more advanced topics, making it an equally invaluable resource for beginners and active researchers in this growing field.

Symmetries of Integro-Differential Equations

Author : Sergey V. Meleshko
Publisher : Springer Science & Business Media
ISBN 13 : 9048137969
Total Pages : 315 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Symmetries of Integro-Differential Equations by : Sergey V. Meleshko

Download or read book Symmetries of Integro-Differential Equations written by Sergey V. Meleshko and published by Springer Science & Business Media. This book was released on 2010-07-12 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible yet comprehensive description of the application methods of group analysis to integro-differential equations. It offers both fundamental theoretical and algorithmic aspects of these methods and includes instructive examples.

Computer Algebra In Physical Research: Memorial Volume For N N Govorun - Proceedings Of The Iv International Conference

Author : V A Rostovtsev
Publisher : #N/A
ISBN 13 : 9814556092
Total Pages : 467 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computer Algebra In Physical Research: Memorial Volume For N N Govorun - Proceedings Of The Iv International Conference by : V A Rostovtsev

Download or read book Computer Algebra In Physical Research: Memorial Volume For N N Govorun - Proceedings Of The Iv International Conference written by V A Rostovtsev and published by #N/A. This book was released on 1991-12-11 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Nicholas N Govorun, corresponding member of the USSR Academy of Sciences, was the principal organizer of the precedent meetings held at Dubna (1979, 1983, 1985). Unfortunately, he passed away in 1989. This volume is to honor his support in Computer Algebra.This is perhaps the only meeting of the entire soviet union computer algebra community and foreign scientists. The meeting presented scientific results, plans for research facilities, and status reports of the basic areas of investigations. The fields covered include computer algebra systems and general algorithms as well as applied algorithms, programs and results in computer algebra applications (mainly in physics).

Nonlinear Phenomena in Mathematical Sciences

Author : V. Lakshmikantham
Publisher : Elsevier
ISBN 13 : 1483272052
Total Pages : 1062 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Phenomena in Mathematical Sciences by : V. Lakshmikantham

Download or read book Nonlinear Phenomena in Mathematical Sciences written by V. Lakshmikantham and published by Elsevier. This book was released on 2014-05-12 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.

Nonlinear Optics

Author : George I. Stegeman
Publisher : John Wiley & Sons
ISBN 13 : 1118072723
Total Pages : 501 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Nonlinear Optics by : George I. Stegeman

Download or read book Nonlinear Optics written by George I. Stegeman and published by John Wiley & Sons. This book was released on 2012-07-24 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, integrated coverage of all aspects of nonlinear optics—phenomena, materials, and devices Coauthored by George Stegeman, one of the most highly respected pioneers of nonlinear optics—with contributions on applications from Robert Stegeman—this book covers nonlinear optics from a combined physics, optics, materials science, and devices perspective. It offers a thoroughly balanced treatment of concepts, nonlinear materials, practical aspects of nonlinear devices, and current application areas. Beginning with the presentation of a simple electron on a spring model—to help readers make the leap from concepts to applications—Nonlinear Optics gives comprehensive explanations of second-order phenomena, derivation of nonlinear susceptibilities, third-order nonlinear effects, multi-wave mixing, scattering, and more. Coverage includes: Nonlinear response of materials at the molecular level Second-order nonlinear devices, their optimization and limitations The physical origins of second- and third-order nonlinearities Typical frequency dispersion of nonlinearities, explained in terms of simple two- and three-level models Ultrafast and ultrahigh intensity processes Practice problems demonstrating the design of such nonlinear devices as frequency doublers and optical oscillators Based on more than twenty years of lectures at the College of Optics and Photonics (CREOL) at the University of Central Florida, Nonlinear Optics introduces all topics from the ground up, making the material easily accessible not only for physicists, but also for chemists and materials scientists, as well as professionals in diverse areas of optics, from laser physics to electrical engineering.

Symmetry and Perturbation Theory

Author : Giuseppe Gaeta
Publisher : World Scientific
ISBN 13 : 9812776168
Total Pages : 311 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Symmetry and Perturbation Theory by : Giuseppe Gaeta

Download or read book Symmetry and Perturbation Theory written by Giuseppe Gaeta and published by World Scientific. This book was released on 2007 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii.