129 citations · 214 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…