3 papers
math.DS2007
Measures related to (e,n)-complexity functions
Valentin Afraimovich, Lev Glebsky
The (e,n)-complexity functions describe total instability of trajectories in dynamical systems. They reflect an ability of trajectories going through a Borel set to diverge on the…
nlin.CD2003
Detectability of non-differentiable generalized synchrony
Nikolai F. Rulkov, Valentin S. Afraimovich
Generalized synchronization of chaos is a type of cooperative behavior in directionally-coupled oscillators that is characterized by existence of stable and persistent functional d…
nlin.CD2003
Space-Time Complexity in Hamiltonian Dynamics
V. Afraimovich, G. M. Zaslavsky
New notions of the complexity function C(epsilon;t,s) and entropy function S(epsilon;t,s) are introduced to describe systems with nonzero or zero Lyapunov exponents or systems that…