A hierarchy of coupled maps.
A large number of logistic maps are coupled together as a mathematical metaphor for complex natural systems with hierarchical organization. The elementary maps are first collected into globally coupled lattices. These lattices are then coupled together in a hierarchical way to form a system with many degrees of freedom. We summarize the behavior of the individual blocks, and then explore the dynamics of the hierarchy. We offer some ideas that guide our understanding of this type of system. (c) 2002 American Institute of Physics.
Balmforth
Neil J.
NJ
Department of Applied Mathematics and Statistics, University of California, Santa Cruz, California 95064.
Provenzale
Antonello
A
Sassi
Roberto
R