This workshop in nonlinear dynamics and mathematical physics, organized by the Italian Nuclear Energy Agency (ENEA) in Bologna, is intended to give an updated overview of modern trends in the field of nonlinear dynamics with emphasis on applications to physics, quantum theory, plasma physics and fluid dynamics, optics and electrodynamics, computer simulation and neural networks.
This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions.
Main themes are complete integrability, bi-Hamiltonian structures, hierarchies, impact on string theory, links with quantum groups, random perturbations of deterministic dynamics and the onset of stochasticity/chaos/ in case of particle motion, and the relation between randomness and quantisation.
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).
This is a collection of lectures by leading research mathematicians on the very latest work on qualitative theory of solutions of dynamical systems, ordinary differential equations, delay-differential equations, Volterra integrodifferential equations and partial differential equations.
This book deals with aspects of thermodynamic restrictions in modern continuum mechanics and with particular problems of the kinetic theory and statistical mechanics.
This book brings together a comprehensive account of major developments in the theory and applications of nonlinear dispersive waves, nonlinear water waves, KdV and nonlinear Schrodinger equations, Davey-Stewartson equation, Benjamin-Ono equation and nonlinear instability phenomena.
The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.
The 2nd experimental chaos conference provided a multidisciplinary forum for the scientific and engineering communities to present recent developments of and techniques in nonlinear dynamics.
This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject.
The papers presented in the congress can roughly be classified into the following categories: theoretical and statistical mathematics applied to biological systems; image elaboration; dynamics of biological fluids; dynamics and statics of biological structures and computers in biology and medicine.
The papers presented in this volume cover a number of different aspects of stochastic analysis, probability theory, quantum field theory, functional integration, ergodic theory, quantum theory, statistical modelling, random graph theory and percolation theory.
This volume is a collection of papers which were presented at the traditional international conference on programming and mathematical methods for solving physical problems.
This volume contains intense studies on Quantum Groups, Knot Theory, Statistical Mechanics, Conformal Field Theory, Differential Geometry and Differential Equation Methods and so on.
The topics discussed in this volume are: Symmetry and Foundations in Classical and Quantum Mechanics; Geometry, Topology and Quantum Field Theory; Quantum Groups and Infinite-Dimensional Lie Algebras; Algebraic Approach to Nuclear Structure; Integrable Statistical Systems and Theory of Critical Phenomena Supersymmetry; Atomic and Molecular Physics; Condensed Matter Physics; Other Applications of Group Theory to Physics.
This symposium brought together mechanicians, physicists and applied mathematicians to discuss the interdisciplinary topic of nonlinear wave motion, which displays effects that give rise to a multitude of unanswered questions.
This volume covers the recent developments of the exact solvable models, Yangian symmetry, the long-ranged interaction models and high-dimensional integrable systems.
This book contains a collection of articles on the topics mentioned in the title or closely related to them, and is dedicated to Prof Aristide Halanay from the University of Bucharest, Romania, in occasion of his 70th birthday.
The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.
The aim of the symposium was to provide a forum for presenting and discussing recent developments and trends in Reaction-diffusion Equations and to promote scientific exchanges among mathematicians in China and in Japan, especially for the younger generation.