1 Fractal space-time fluctuations: A signature of quantumlike chaos in dynamical systems

Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock market price fluctuations, etc. exhibit selfsimilar fractal fluctuations characterized by a zigzag (an increase followed by a decrease and vice-versa) curve on all scales in space and time. Power spectral analyses of fractal fluctuations exhibit inverse power law form indicating long-range space-time correlations, identified as self-organized criticality. Mathematical models for simulation and prediction of dynamical systems are nonlinear so that analytical solutions are not available. Finite precision computed solutions are sensitively dependent on initial conditions and give chaotic solutions, identified as deterministic chaos. The author has proposed a general systems theory, which predicts the observed fractal fluctuations as signatures of quantumlike chaos. The model visualizes the irregular fluctuations to result from the superimposition of a continuum of eddies where the dominant componen