47 citations · 90 across the 3 of their papers we have counts for
3 papers
math.DS2012★ 1 cited
Directional complexity and entropy for lift mappings
V. Afraimovich, M. Courbage, L. Glebsky
We introduce and study the notion of a directional complexity and entropy for maps of degree 1 on the circle. For piecewise affine Markov maps we use symbolic dynamics to relate th…
nlin.CD2002★ 47 cited
Generalized synchronization of chaos in non-invertible maps
V. Afraimovich, A. Cordonet, N. F. Rulkov
The properties of functional relation between a non-invertible chaotic drive and a response map in the regime of generalized synchronization of chaos are studied. It is shown that…
nlin.CD2001★ 42 cited
Multi-valued mappings in generalized chaos synchronization
N. F. Rulkov, V. S. Afraimovich, C. T. Lewis +2
The onset of generalized synchronization of chaos in directionally-coupled systems corresponds to the formation of a continuous mapping which enables one to persistently define the…