Brief Summary of Each Supplement
Progress of Theoretical Physics Supplement No. 161
Oscillation, Chaos and Network Dynamics in Nonlinear Science
Proceedings of the International Symposium on Nonlinear Oscillations
Edited by Shigeru Shinomoto, Hiroya Nakao, Takao Ohta and Yoshiki Kuramoto
This volume contains invited lectures and posters presented at the
international symposium ``Oscillation, Chaos and Network Dynamics in
Nonlinear Science'' (OCNN2004) held at Kyoto University, Japan, from
November 25 to 28, 2004.
Nonlinear oscillations, whether periodic or chaotic, appear widely in
systems driven far from thermal equilibrium. The theory of nonlinear
oscillations is relevant to many fields, including physics, chemistry,
biology, engineering, neuroscience and the social sciences.
Of particular interest and importance is the understanding of how
coherent synchronous activity arises and collapses in networks
of interacting oscillatory elements, and in what way the resulting
behavior is functionally relevant.
Research along this line could also lead to new applications in
diverse fields of science and technology, and so it is not surprising
that the field of ``coupled oscillators'' has recently been attracting
increasing numbers of researchers worldwide.
The purpose of this international workshop was to bring together
experts and general researchers in this field to explore new
directions in this fascinating area of science for the 21st century.
Experimental and theoretical achievements presented and discussed at
the workshop were of impressively high quality.
The papers collected in this volume report the newest results by the
OCNN2004 participants on the topics presented at the workshop. All
the papers were carefully reviewed by experts in their respective
fields.
The topics covered include:
(1) Synchronization of nonlinear oscillators
(2) Pattern formation and spatio-temporal chaos in nonlinear, nonequilibrium
media
(3) Complex dynamics in neural and other biological systems
(4) Advanced mathematical analyses of nonlinear dynamical systems, etc.
This volume serves as a survey on the recent theoretical and
experimental development in this field, and will be of value to
researchers, as well as to non-experts and students interested in the
subject.
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