Ioannis Antoniou - Böcker

Leading research, perspectives, and analysis of dynamical systems and irreversibility Edited by Nobel Prize winner Ilya Prigogine and renowned authority Stuart A. Rice, the Advances in Chemical Physics series provides a forum for critical, authoritative evaluations in every area of the discipline. In a format that encourages the expression of individual points of view, experts in the field present comprehensive analyses of subjects of interest. Volume 122 collects papers from the XXI Solvay Conference on Physics, dedicated to the exploration of "Dynamical Systems and Irreversibility." Ioannis Antoniou, Deputy Director of the International Solvay Institutes for Physics and Chemistry, edits and assembles this cutting-edge research, including articles such as "Non-Markovian Effects in the Standard Map," "Harmonic Analysis of Unstable Systems," "Age and Age Fluctuations in an Unstable Quantum System," and discussion of many more subjects. Advances in Chemical Physics remains the premier venue for presentations of new findings in its field.

"Solitons and Chaos" is a response to the growing interestin systems exhibiting these two complementary manifestationsof nonlinearity. The papers cover a wide range of topics butshare common mathematical notions and investigationtechniques. An introductory note on eight concepts ofintegrability has been added as a guide for the uninitiatedreader. Both specialists and graduate students will findthis update on the state ofthe art useful.Key points: chaos vs. integrability; solitons: theory andapplications; dissipative systems; Hamiltonian systems; mapsand cascades; direct vs. inverse methods; higher dimensions;Lie groups, Painleve analysis, numerical algorithms;pertubation methods.