Journal
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Volume 43, Issue 5, Pages 1637-1674Publisher
ROCKY MT MATH CONSORTIUM
DOI: 10.1216/RMJ-2013-43-5-1637
Keywords
Lengyel-Epstein chemical reaction; reaction-diffusion system; Hopf bifurcation; steady state bifurcation; spatially non-homogeneous periodic orbits; global bifurcation
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Funding
- National Natural Science Foundation of China [10671049, 10771045, 11001063, 10926148]
- Longjiang Professorship of Department of Education of Heilongjiang Province
- National Science Foundation of U.S.
- Specialized Research Funds for the Doctoral Program of Higher Education
- China Postdoctoral Science Foundation [20100471266]
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Bifurcations of spatially nonhomogeneous periodic solutions and steady state solutions are rigorously proved for a reaction-diffusion system modeling CIMA chemical reaction. The existence of these patterned solutions shows the richness of the spatiotemporal dynamics including Turing instability and oscillatory behavior. Examples of numerical simulation are also shown to support and strengthen the analytical approach.
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