个人简介
Cover graphic:Experimental chaotic attractor from the peroxidase-oxidase reaction.The reaction has gone through a series of period doubling bifurcations leading to chaotic oscillations.The concentration of dissolved oxygen was measured and a three dimensionalkl phase plot was made using the method of time delays.The color corresponds to the rate of change and follows the visible spectrum(red is slowest,violet is fastest).The computer image was generated using Dynamical Software (Dynamical Systems,Inc,Tucson,Arizona).Photograph by Vibeke Sylvest Frederiksen.
内容简介
True deterministic chaos is characterized by unpredictable,apparently random motion in a dynamical system completely described by a deterministic dynamiclaw,usually a nonlinear differential equation,with no stochastic component. the inability to predict future behavior of achaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge.Chaos is universal as it may arise in anyteroretical interpretation of chaos in chemical and biochemical systems.Examples are drawn from the Belousov-Zhabotinsky reaction surface reactions,electrochemical reactions,enzyme reactions,and periodically perturbed oscillating systems.