Abstract
Propagation velocities of disturbances are analyzed in chaotic spatially extended systems with local and long-range couplings. For nearestneighbours interactions two distinct speed selection mechanisms for propagating fronts are found. One mechanism can be interpreted within a linearstability analysis, while the origin of the second one is fully non-linear. For long-range couplings, decaying as powers of the distance, the spreading-rate of disturbances increase exponentially in time.
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References
M.C. Cross and P.H. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
D. Mollison, J. Royal Statistical Society, B39, 283 (1977); in Mathematical Aspects of Rabies Epizootic, ed. P.J. Bacon (Academic Press, London, 1983).
A. Kolmogorv, I. Petrovsky and N. Piskunov, Bull. Univ. Moscow, Ser. Int. Al, 1 (1937)
D.G. Aronson and H.F. Weinberg, Adv. Math. 30, 33 (1978).
W. van Saarlos, Phys. Rev. A37, 211 (1988); Phys. Rev. A39, 6367 (1989)
R.D. Benguria and M.C. Depassier, Phys. Rev. Lett. 73, 2272 (1994)
W. van Saarlos, M. van Hecke and R. Holyst, preprint (1994).
K. Kaneko, Prog. Theor. Phys. 72, 980 (1984)
I. Waller and R. Kapral, Phys. Rev. A30, 2047 (1984).
G. Paladin and A. Vulpiani, J. Phys. A27, 4911 (1994).
A. Politi and A. Torcini, Europhys. Lett. 28, 545 (1994).
K. Kaneko, Prog. Theor. Phys. 74, 1033 (1985)
A.S. Pikovsky, Phys. Lett. A156, 223 (1991).
R.J. Deissler and K. Kaneko, Phys. Lett. A119, 397 (1987).
A. Politi and A. Torcini, Chaos 2, 293 (1992).
A. Torcini, P. Grassberger and A. Politi, to be published. *** DIRECT SUPPORT *** A3418380 00011
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© 1995 Springer-Verlag
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Torcini, A. (1995). Disturbance propagation in coupled map lattices. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_81
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DOI: https://doi.org/10.1007/3-540-60188-0_81
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