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《Progress In Physics》 1983-03
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BIFURCATION, CHAOS, STRANGE ATTRACTOR,TURBULENCE AND ALL THAT.——ON INTRINSIC STOCHASTICITY IN DETERMINISTIC SYSTEMS

Hao Bai-lin (The Institute of Theoretical Physics, Academia Sinica)  
Many nonlinear equations, describing either conservative or dissi-pative systems, show stochastic behaviour in suitable range of parameter values.Rigorous mathematical analysis, numerous computer simulations and an increasing number of real experiments have been bridging the longstanding gap between deterministic and probabilistic descriptions in physics. Recent development in this field has not only provided US with a better understanding of the onset of turbulence, the instabilities in plasmas, anomalous noise in parametric Josephson amplifier and some specific regimes of nonlinear oscillation, but also raised a few fundamental problems in physics and mathematics. We give a comprehensive, yet elementary review of related topics.
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