Analysis and Characterization of Complex Spatio-temporal Patterns in Nonlinear Reaction-Diffusion Systems

Details Analysis and Characterization of Complex Spatio-temporal Patterns in Nonlinear Reaction-Diffusion Systems Analysis and Characterization of Complex Spatio-temporal Patterns in Nonlinear Reaction-Diffusion Systems

1996-06-17

arxiv.org/abs/chao-dyn/9606013v1

Nonlinear Sciences

Chaotic Dynamics

17 Latex pages, 6 figures can be obtained on request. To be Published in Physica A 224, (1996)

Scientific paper

Two important classes of spatio-temporal patterns, namely, spatio-temporal chaos and self-replicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with diffusion has been studied. The characterization of these patterns has been carried out in terms of Lyapunov exponents and dimension density. The results show a linear scaling as a function of sub-system size for the Lyapunov dimension and entropy while the Lyapunov dimension density was found to rapidly saturate. The possibility of synchronizing the spatio-temporal dynamics by analyzing the conditional Lyapunov exponents of sub-systems was also observed.

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