Periodic solutions to systems of reaction-diffusion equations |
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| Authors: | Gerald Rosen |
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| Institution: | Department of Physics Drexel University, Philadelphia, Pennsylvania, USA |
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| Abstract: | In this paper, necessary and sufficient conditions are derived for the existence of temporally periodic “dissipative structure” solutions in cases of weak diffusion with the reaction rate terms dominant in a generic system of reaction-diffusion equations ?ci/?t = Di?2ci+Qi(c), where the enumerator index i runs 1 to n, ci = ci(x, t) denotes the concentration or density of the ith participating molecular or biological species, Di is the diffusivity constant for the ith species and Qi(c), an algebraic function of the n-tuple c = (c1,\3., cn), expresses the local rate of production of the ith species due to chemical reactions or biological interactions. |
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