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Pattern Formations with Turing and Hopf Oscillating Pattern in a Discrete Reaction-Diffusion System


초록

Localized structures with fronts connecting a Turing patterns and Hopf oscillations are found in discrete reaction-diffusion system. The Chorite-Iodide-Malonic Acid (CIMA) reaction model is used for a reaction scheme. Localized structures in discrete reaction-diffusion system have more diverse and interesting features than ones in continuous system. Various localized structures can be obtained when a single perturbation is applied with variation of coupling strength of two intermediates. Roles of perturbations are not so simple that perturbations are sources of both Turing patterns and Hopf oscillating domains, and spatial distribution of them is determined by strength of a perturbation applied initially.

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참고문헌

  1. Philos. Trans. R. Soc. London Ser. B no.237 Turing, A. M.
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  3. Phys. Rev. E no.50 Jensen, O.;Pannbacker, V. O.;Mosekilde, E.;Dewel, G.;Borckmans, P.
  4. Physica Scripta no.53 Jensen, O.; Mosekilde, E.; Borckmans, P.; Dewel, G.
  5. Rhys. Rev. Lett. no.64 Castets, V.;Dulos, E.;Boissonade, J.;De Kepper, P.
  6. Nature no.352 Ouyang, Q.;Swinney, H. L.
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  8. Science no.261 Pearson, J. E.
  9. J. Chem. Phys. no.100 Middya, U.;Luss, D.
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  13. Physica D no.84 Epstein, I. R.;Lengyel, I.
  14. Physica Scripta no.67 Rudovics, B.;Dulos, E.;De Kepper, P.
  15. Physica Scripta no.53 Jensen, O.;Mosekilde, E.;Borckmans, P.;Dewel, G.

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