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 ...
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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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