Journal Of Nonlinear Mathematical Physics Vol 14

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Journal Of Nonlinear Mathematical Physics Vol 14
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Author :
language : en
Publisher: atlantis press
Release Date :
Journal Of Nonlinear Mathematical Physics Vol 14 written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Nonlinear Dynamical Systems Of Mathematical Physics Spectral And Symplectic Integrability Analysis
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Author : Denis Blackmore
language : en
Publisher: World Scientific
Release Date : 2011-03-04
Nonlinear Dynamical Systems Of Mathematical Physics Spectral And Symplectic Integrability Analysis written by Denis Blackmore and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-04 with Mathematics categories.
This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field — including some innovations by the authors themselves — that have not appeared in any other book.The exposition begins with an introduction to modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability. This sets the stage for such topics as new formulations of the gradient-holonomic algorithm for Lax integrability, novel treatments of classical integration by quadratures, Lie-algebraic characterizations of integrability, and recent results on tensor Poisson structures. Of particular note is the development via spectral reduction of a generalized de Rham-Hodge theory, related to Delsarte-Lions operators, leading to new Chern type classes useful for integrability analysis. Also included are elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental differential-geometric concepts making this volume essentially self-contained.This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.
Journal Of Nonlinear Mathematical Physics
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Author :
language : en
Publisher: atlantis press
Release Date :
Journal Of Nonlinear Mathematical Physics written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Introduction To The Mathematical Physics Of Nonlinear Waves
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Author : Minoru Fujimoto
language : zh-CN
Publisher:
Release Date : 2021
Introduction To The Mathematical Physics Of Nonlinear Waves written by Minoru Fujimoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematical physics categories.
Nonlinear Dynamics In Economics And Social Sciences
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Author : Franco Gori
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Dynamics In Economics And Social Sciences written by Franco Gori and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
This volume constitutes the Proceedings of the "Nonlinear Dynamics in Economics and Social Sciences" Meeting held at the Certosa di Pontignano, Siena, on May 27-30, 1991. The Meeting was organized by the National Group "Modelli Nonlineari in Economia e Dinamiche Complesse" of the Italian Ministery of University and SCientific Research, M.U.RS.T. The aim of the Conference, which followed a previous analogous initiative taking place in the very same Certosa, on January 1988*, was the one of offering a come together opportunity to economists interested in a new mathematical approach to the modelling of economical processes, through the use of more advanced analytical techniques, and mathematicians acting in the field of global dynamical systems theory and applications. A basiC underlying idea drove the organizers: the necessity of fOCUSing on the use that recent methods and results, as those commonly referred to the overpopularized label of "Chaotic Dynamics", did find in the social sciences domain; and thus to check their actual relevance in the research program of modelling economic phenomena, in order to individuate and stress promising perspectives, as well as to curb excessive hopes and criticize not infrequent cases where research reduces to mechanical, ad hoc, applications of "a la mode" techniques. In a word we felt the need of looking about the state of the arts in non-linear systems theory applications to economics and social processes: hence the title of the workshop and the volume.
Russian Journal Of Mathematical Physics
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Author :
language : en
Publisher:
Release Date : 2007
Russian Journal Of Mathematical Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematical physics categories.
Fractional Calculus New Applications In Understanding Nonlinear Phenomena
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Author : Mehmet Yavuz
language : en
Publisher: Bentham Science Publishers
Release Date : 2022-12-14
Fractional Calculus New Applications In Understanding Nonlinear Phenomena written by Mehmet Yavuz and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-14 with Mathematics categories.
In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern operators in fractional calculus have different properties which are comparable to those of classical operators.These have been intensively studied formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natural occurrences and tackle different problems. This book presents ten reviews of recent fractional operators split over three sections: 1. Chaotic Systems and Control (covers the Caputo fractional derivative, and a chaotic fractional-order financial system)2. Heat Conduction (covers the Duhamel theorem for time-dependent source terms, and the Cattaneo–Hristov model for oscillatory heat transfer)3. Computational Methods and Their Illustrative Applications (covers mathematical analysis for understanding 5 real-word phenomena: HTLV-1 infection of CD4+ T-cells, traveling waves, rumor-spreading, biochemical reactions, and the computational fluid dynamics of a non-powered floating object navigating in an approach channel) This volume is a resource for researchers in physics, biology, behavioral sciences, and mathematics who are interested in new applications of fractional calculus in the study of nonlinear phenomena.
Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media
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Author : Yuli Starosvetsky
language : en
Publisher: World Scientific
Release Date : 2017-03-17
Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media written by Yuli Starosvetsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-17 with Science categories.
This research monograph provides a brief overview of the authors' research in the area of ordered granular media over the last decade. The exposition covers one-dimensional homogeneous and dimer chains in great detail incorporating novel analytical tools and experimental results supporting the analytical and numerical studies. The proposed analytical tools have since been successfully implemented in studying two-dimensional dimers, granular dimers on on-site perturbations, solitary waves in Toda lattices to name a few. The second part of the monograph dwells on weakly coupled homogeneous granular chains from analytical, numerical and experimental perspective exploring the interesting phenomenon of Landau-Zener tunneling in granular media. The final part of the monograph provides a brief introduction to locally resonant acoustic metamaterials incorporating internal rotators and the resulting energy channeling mechanism in unit-cells and in one- and two-dimensional lattices. The monograph provides a comprehensive overview of the research in this interesting domain. However, this exposition is not all exhaustive with regard to equally exciting research by other researchers across the globe, but we provide an exhaustive list of references for the interested readers to further explore in this direction.
Generalized Fractional Order Differential Equations Arising In Physical Models
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Author : Santanu Saha Ray
language : en
Publisher: CRC Press
Release Date : 2018-11-13
Generalized Fractional Order Differential Equations Arising In Physical Models written by Santanu Saha Ray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-13 with Mathematics categories.
This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.
Fractional Calculus With Applications In Mechanics
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Author : Teodor M. Atanackovic
language : en
Publisher: John Wiley & Sons
Release Date : 2014-02-19
Fractional Calculus With Applications In Mechanics written by Teodor M. Atanackovic and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-19 with Mathematics categories.
This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail.