Introduction to Attractors and Chaos
Recall that a Newtonian deterministic system is a system whose present state is fully determined by its initial conditions (at least, in principle), in contrast to a stochastic (or, random) system, for which the initial conditions determine the present state only partially, due to noise, or other external circumstances beyond our control. For a stochastic system, the present state relects the past initial conditions plus the particular realization of the noise encountered along the way. So, in view of classical science, we have either deterministic or stochastic systems.
KeywordsPeriodic Orbit Lyapunov Exponent Chaotic System Hopf Bifurcation Phase Portrait
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