✦ LIBER ✦

Analysis and characterization of complex spatio-temporal patterns in nonlinear reaction-diffusion systems

✍ Scribed by Nita Parekh; V. Ravi Kumar; B.D. Kulkarni

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 630 KB
Volume: 224
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(95)00326-6

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✦ Synopsis

Two important classes of spatio-temporal patterns, namely, spatio-temporal chaos and selfreplicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with diffusion has been studied. The characterization of these patterns has been carded 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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