EAN: 9783642457289

ON SELF-ORGANIZATION KARTONIERT (TB)

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 Poi~care (1854 - 1912) whose first substantial compilation amongst his
prolific productio~ was Les Methodes Nouvelles de la Mecanique Celeste  Vol 1. Thi~
work'aplleared in Paris in 1892  a century ago  thus offering us the opportunity to celebrate a
centenary of this extraordinary revolutionary of science: M~:of. ~he ex tensive contributions
of Poincare helped to lay the foundation of this field of nonlinear dynamics  for _e. xam lI~e
mai:hematic~l theory of . dillJ. ensions~ . ( qualita. tively) global aspects of ph~ ~~c~
d~~~ics  topological analysis  . fiXed. pbiilt theo rems  bifurcation COIiC~l?ts :{~o ?e u~d
later for example for Andronov-Poincare bifurcation)  diffe~!:. Iice' equation mappings in
phase spa

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