Noise-induced input dependence in a convectively unstable dynamical system

Physica D: Nonlinear Phenomena

Volumn 129, Issue 3-4, 1999, Pages 203-222

  Fujimoto, Koichi ^a   Kaneko, Kunihiko ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346500757     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00019-6     Document Type: Article

References (22)

1. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, J.D. Watson, Molecular Biology of the Cell, Garland Publishing, 1994.
2. I. Tsuda, H. Shimizu, Self-organization of the dynamical channel, in: H. Haken (Ed.), Complex Systems - Operational Approaches, Springer, Berlin, 1985, pp. 240-251.
3. K. Otsuka, K. Ikeda, Cooperative dynamics and functions in a collective nonlinear optical element system, Phys. Rev. A 39 (1989) 5209-5228.
4. R.J. Deissler, One-dimensional strings, random fluctuations, and complex chaotic structures, Phys. Lett. A 100 (1984) 451-454.
5. K. Kaneko, Spatial period-doubling in open flow, Phys. Lett. A 111 (1985) 321-325.
6. R.J. Deissler, External noise and the origin and dynamics of structure in convectively unstable systems, J. Stat. Phys. 54 (1989) 1459-1488.
7. I.S. Aranson, A.V. Gaponov-Grekhov, M.I. Ravinovich, The onset and spatial development of turbulence in flow systems, Physica D 33 (1988) 1-20.
8. J.P. Crutchfield, K. Kaneko, Phenomenology of spatiotemporal chaos, in: B.L. Hao (Ed.), Directions in Chaos, World Scientific, Singapore, 1987, pp. 272-353.
9. F.H. Willeboordse, K. Kaneko, Pattern dynamics of a coupled map lattice for open flow, Physica D 86 (1995) 428-455.
10. R.J. Deissler, Noise-sustained structure, intermittency, and the Ginzburg-Landau equation, J. Stat. Phys. 40 (1985) 371-395.
11. R.J. Briggs, Electron-stream Interaction with Plasmas, MIT Press, Cambridge, MA, USA, 1964.
12. A. Bers, Space-time evolution of plasma instabilities - absolute and convective, in: M.N. Rosenbluth, R.Z. Sagdeev (Eds.), Handbook of Plasma Physics 1, Elsevier Science, 1983, pp. 451-517.
13. E.M. Lifshitz, L.P. Pitaevskii, Physical Kinetics, Pergamon, Oxford, 1981.
14. P. Huerre, Spatio-temporal instabilities in closed and open flows, in: E. Tirapegui, D. Villaroel (Eds.), Instabilities and Nonequilibrium Structures, Reidel, Dordrecht, 1987, pp. 141-177.
15. R.J. Deissler, K. Kaneko, Velocity-dependent Lyapunov exponent as a measure of chaos for open flows, Phys. Lett. A 119 (1987) 397-402.
16. K. Kaneko, Lyapunov analysis and information flow in coupled map lattice, Physica D 23 (1986) 436-447.
17. D. Vergni, M. Falcioni, A. Vulpiani, Spatial complex behavior in nonchaotic flow systems, Phys. Rev. E. 56 (1997) 6170-6172.
18. J.M. Chomaz, Absolute and convective instabilities in nonlinear systems, Phys. Rev. Lett. 69 (1992) 1931-1934.
19. G. Nicolis, I. Prigogine, Self-organization in Nonequilibrium Systems, Wiley, 1977, pp. 131-140.
20. R.J. Deissler, Turbulent bursts, spots and slugs in a Ginzburg-Landau equation, Phys. Lett. A 120 (1987) 334-340.
21. A.L. Hodgkin, A.F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol. 117 (1952) 500-544.
22. K. Fujimoto, K. Kaneko, in preparation.