3 papers
nlin.PS2014
Heterogeneous, Weakly Coupled Map Lattices
Dolores Sotelo Herrera, Jesús San Martín, Mason A. Porter
Coupled map lattices (CMLs) are often used to study emergent phenomena in nature. It is typically assumed (unrealistically) that each component is described by the same map, and it…
nlin.PS2009
Analytical Periodic Solutions of Weakly Coupled Map Lattices Using Recurrence Relations
M. Dolores Sotelo Herrera, Jesus San Martin
Analytical periodic solutions for weakly Coupled Map Lattices are shown in an explicit form as well as in a recurrence relation. The results establish a link between a matricial re…
nlin.PS2008
An Analytical Study in Coupled Map Lattices of Synchronized States and Travelling Waves, and of their Period-Doubling Cascades
M. Dolores Sotelo Herrera, Jesus San Martin
Several theorems are demonstrated that determine the sufficient conditions for the existence of synchronized states (periodical and chaotic) and also of travelling waves in a CML.…