Format:
1 Online-Ressource (XIII, 298p. 71 illus)
ISBN:
9783642457265
,
9783642457289
Series Statement:
Springer Series in Synergetics 61
Note:
The thread of self-organization which is now recognized as permeating many dynamical transformations in diverse systems around us seems set to unleash a revolution as influential as that of Darwin in the last century. Darwin removed the 'originator' of a species; self-organization now seeks to remove the 'organizer' from an organism. Methods of nonlinear dynamics have played a crucial role in opening up this field and if these methods have a progenitor it is Henri Poincare (1854 - 1912) whose first substantial compilation amongst his prolific production was Les Methodes Nouvelles de la Mecanique Celeste, Vol 1. This work appeared in Paris in 1892, a century ago, thus offering us the opportunity to celebrate a centenary of this extraordinary revolutionary of science. Many of the extensive contributions of Poincare helped to lay the foundation of this field of nonlinear dynamics, for example the mathematical theory of dimensions (qualitatively) global aspects of phase space dynamics, topological analysis, fixed point theorems, bifurcation concepts (to be used later for example for Andronov-Poincare bifurcation), difference equation mappings in phase spa
Language:
English
Keywords:
Selbstorganisation
;
Selbst organisierendes System
;
Konferenzschrift
DOI:
10.1007/978-3-642-45726-5
