Overview

This book commemorates the centenary of the birth of Georges David Birhoff, the father of the theory of Dynamical Systems. It consists of a volume of dedicated papers, reflecting the intellectual revolution of his work. This book is divided into four parts: Fundamental Paradigms — Chaos, Turbulence, Attractors, Bifurcations; Dynamical Systems and Microphysics; Self-Organization and Biological Dynamical Systems; Epistemology and History.Contents: The Unpredictable Bouncing Rotator: A Chaology Tutorial Machine (M Berry) Attractors and ConfinersDeterministic and Stochastic Approaches (J Demongeot et al.) Bifurcation and Continuity (C Bruter) The Question of a Microirreversibility in Statistical Mechanics and in Quantum Mechanics (G Lochak) Particles and Classical-Like Theories (D Fargue) More on Stochastic Processes in Wave Mechanics (A Blaquiere) Morphogenesis of Behavior: An Example of the Application of Concepts of Synergetics (H Haken) Spatial Self-Organization Phenomena in Chemical Systems (C Vidal) Dynamics of Darwinian Evolution (E Zeeman) Statistical Mechanics of Visual Form Perception: The Resolution of Uncertainty (S Grossberg) Normal Tendency towards Formation of Singularities in a Spontaneous Evolution (J Tonnelat) Some Historical Aspects Concerning the Theory of Dynamic Systems (C Mira) Reason and Indifference: Tales of Rational Mechanics (I Stengers) A Renewal of Mechanism: Towards an Instrumental Realism (S Diner) and other papersReadership: Applied mathematicians, physicists and biologists.

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