Spatiotemporal intermittency on fractal lattices

Spatiotemporal intermittency on fractal lattices

Publication Type:

Journal Article

Authors:

Cosenza, M.G.; Kapral, R.

Source:

Chaos, Volume 4, Number 1, p.99-104 (1994)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0003056683&doi=10.1063%2f1.166062&partnerID=40&md5=b7eac0faa23f08af69fbc3d62c970e74

Abstract:

The transition to turbulence via spatiotemporal intermittency is investigated for coupled maps defined on generalized Sierpinski gaskets, a class of deterministic fractal lattices. Critical exponents that characterize the onset of intermittency are computed as a function of the fractal dimension of the lattice. Windows of spatiotemporal intermittency are found as the coupling parameter is varied for lattices with a fractal dimension greater than two. This phenomenon is associated with a collective chaotic behavior of the fractal array of coupled maps. © 1994 American Institute of Physics.