Table of contents
About this book
This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.
algebraic and differential topology classical mechanics nonlinear mathematics singularity theory stability of integrable systems Arnold conjecture Floer chain complex homology with local coefficients fundamental group augmentation ideal exponential map Rodrigues coefficients Cayley transform Rodrigues formula extended lattice operations variational inequalities positive semidefinite cone generalized uniformities mildly continuous relations