Coupled maps and pattern formation on the Sierpinski gasket

Coupled maps and pattern formation on the Sierpinski gasket

Publication Type:

Journal Article

Authors:

Cosenza, M.G.; Kapral, R.

Source:

Chaos, Volume 2, Number 3, p.329-935 (1992)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0342892504&partnerID=40&md5=4ce8b7742e48b83565b0b078fc8e2e83

Abstract:

The bifurcation structure of coupled maps on the Sierpinski gasket is investigated. The fractal character of the underlying lattice gives rise to stability boundaries for the periodic synchronized states with unusual features and spatially inhomogeneous states with a complex structure. The results are illustrated by calculations on coupled quadratic and cubic maps. For the coupled cubic map lattice bistability and domain growth processes are studied. © 1992 American Institute of Physics.