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Spatial and Dynamical Chaos Generated by Reaction–Diffusion Systems in Unbounded Domains

✍ Scribed by S. V. Zelik


Publisher
Springer US
Year
2006
Tongue
English
Weight
521 KB
Volume
19
Category
Article
ISSN
1040-7294

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Attractors of reaction-diffusion systems
✍ Sergey V. Zelik 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 475 KB 👁 1 views

## Abstract The nonlinear reaction‐diffusion system in an unbounded domain is studied. It is proven that, under some natural assumptions on the nonlinear term and on the diffusion matrix, this system possesses a global attractor 𝒜 in the corresponding phase space. Since the dimension of the attract