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Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems

✍ Scribed by G. Izús; R. Deza; C. Borzi; H.S. Wio

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
637 KB
Volume
237
Category
Article
ISSN
0378-4371

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✦ Synopsis

We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions ("albedo" b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries.

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Analysis and characterization of complex
Analysis and characterization of complex spatio-temporal patterns in nonlinear reaction-diffusion systems
✍ Nita Parekh; V. Ravi Kumar; B.D. Kulkarni 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 630 KB

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