Dynamical Systems: A Renewal of Mechanism : Centennial of George David Birkhoff

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World Scientific, 1986 - Mathematics - 284 pages
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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.
 

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Contents

where do we stand?
13
WILLEMS Models for dynamical phenomena
29
GUMOWSKI Recurrences and the transition from point to
43
P BRUTER Bifurcation and continuity
70
Z MARIC M BOZlC and D DAVIDOVIC Randomness and determinism in
86
FARGUE Particles and classical1ike theories
104
P B SCHEURER Time its structural coding and quantum kinetics
123
VIDAL Spatial selforganization phenomena in chemical systems
142
ZEEMAN Dynamics of Darwinian evolution
155
DEMETRIUS Ergodic theory and dynamical systems in evolutionary
166
G A CARPENTER Some cellbiological mechanisms governing complex
180
J TONNELAT Normal tendency toward formation of singularities
222
MIRA Some historical aspects concerning the theory of
250
S DINER Epilogue
273
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