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Sensitive boundary condition dependence of noise-sustained structure.

Authors
  • Fujimoto, K
  • Kaneko, K
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Mar 01, 2001
Volume
63
Issue
3 Pt 2
Pages
36218–36218
Identifiers
PMID: 11308752
Source
Medline
License
Unknown

Abstract

Sensitive boundary condition dependence (BCD) is reported in a convectively unstable system with noise, where the amplitude of generated oscillatory dynamics in the downstream depends sensitively on the boundary value. This BCD is explained in terms of the decrease (relaxation) of the comoving Lyapunov exponent (characterizing the convective instability) from upstream to downstream [K. Fujimoto and K. Kaneko, Physica D 129, 203 (1999)]. It is shown that a fractal BCD appears if the dynamics that represent the spatial change of the fixed point includes transient chaotic dynamics, and if appropriate intensity of noise is presented. By considering as an example a one-way-coupled map lattice, this theory for BCD is demonstrated.

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