EAN: 9783642457289

Bilder-Quelle: discount24.de - Sport-Freizeit

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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