Frozen spatial chaos induced by boundaries
Víctor M. Eguíluz, Emilio Hernández-García,
Oreste Piro, and Salvador Balle
Instituto Mediterráneo de Estudios Avanzados
IMEDEA (CSIC-UIB) E-07071 Palma de Mallorca, Spain
(Received 4 June 1999)
We show that rather simple but nontrivial boundary conditions
could induce the appearance of spatial chaos (that is
stationary, stable, but spatially disordered configurations)
in extended dynamical systems with very simple dynamics. We
exemplify the phenomenon with a nonlinear reaction-diffusion equation
in a two-dimensional undulated domain. Concepts from the theory of
dynamical systems, and a transverse-single-mode approximation are
used to describe the spatially chaotic structures. ©1999
The American Physical Society
PACS: 05.45.-a
Related papers:
`Frozen spatial chaos induced by boundaries' [long version]
Phys. Rev. E 60 6571 (1999); [also in
chao-dyn/9906014]
`Boundary-forced spatial chaos' [short version]
submitted to Proceedings of 'Instabilities and Nonequilibrium Structures VI', (1999);
'FISES'97, Proceedings of the VIII Spanish Meeting on Statistical Physics', (1998);
Last update: Feb 2000