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Self-replication, spatio-temporal chaos, and propagation failure

Self-replication, spatio-temporal chaos, and propagation failure

Reference

[1]Y.Nishiura and D.Ueyama, "A skeleton structure of self replicating dynamics", Physica D 130(1999),73-104.

[2]S. Ei, Y. Nishiura and K. Ueda: "2n-splitting or Edge-splitting -A manner of splitting in dissipative systems", JJIAM, 18(2): 181-205 (2001)

[3] Y. Nishiura and D. Ueyama: "Spatio-temporal chaos for the Gray-Scott model", Physica D, 150: 137-162 (2001)

[4] Y. Nishiura, D. Ueyama and T. Yanagita: "Chaotic pulses for discrete reaction diffusion systems", SIAM Journal on Applied Dynamical Systems 4(3): 733-754 (2005)

[5] T. Yanagita, Y. Nishiura and R. Kobayashi: "Signal propagation and failure in one-dimensional FitzHugh-Nagumo equations with periodic stimuli", Phys. Rev. E, 71(3): 6226-6230 (2005)

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