129 citations · 214 across the 7 of their papers we have counts for
7 papers
Mind-to-mind heteroclinic coordination: model of sequential episodic memory initiation
Valentin S. Afraimovich, Michael A. Zaks, Mikhail I. Rabinovich
Retrieval of episodic memory is a dynamical process in the large scale brain networks. In social groups, the neural patterns, associated to specific events directly experienced by…
Weak transient chaos
Valentin S. Afraimovich, Alexander B. Neiman
A phenomenon of weak transient chaos is discussed that is caused by sub-exponential divergence of trajectories in the basin of a non-chaotic attractor. Such a regime is not easy to…
Two dimensional heteroclinic attractor in the generalized Lotka-Volterra system
Valentin S. Afraimovich, Gregory Moses, Todd R. Young
We study a simple dynamical model exhibiting sequential dynamics. We show that in this model there exist sets of parameter values for which a cyclic chain of saddle equilibria, $O_…
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…
Heteroclinic Contours in Neural Ensembles and the Winnerless Competition Principle
Valentin S. Afraimovich, Mikhail I. Rabinovich, Pablo Varona
The ability of nonlinear dynamical systems to process incoming information is a key problem of many fundamental and applied sciences. Information processing by computation with att…
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…