141 citations · 1.2k across the 53 of their papers we have counts for
7 papers · 1 filter
Fast social-like learning of complex behaviors based on motor motifs
Carlos Calvo Tapia, Ivan Y. Tyukin, Valeriy A. Makarov
Social learning is widely observed in many species. Less experienced agents copy successful behaviors, exhibited by more experienced individuals. Nevertheless, the dynamical mechan…
Fast Sampling of Evolving Systems with Periodic Trajectories
I. Yu. Tyukin, A. N. Gorban, T. A. Tyukina +2
We propose a novel method for fast and scalable evaluation of periodic solutions of systems of ordinary differential equations for a given set of parameter values and initial condi…
Leaders do not look back, or do they?
Alexander N. Gorban, Nick Jarman, Erik Steur +2
We study the effect of adding to a directed chain of interconnected systems a directed feedback from the last element in the chain to the first. The problem is closely related to t…
Further Results on Lyapunov-Like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems
A. N. Gorban, I. Yu. Tyukin, H. Nijmeijer
We provide several characterizations of convergence to unstable equilibria in nonlinear systems. Our current contribution is three-fold. First we present simple algebraic condition…
Lyapunov-like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems
A. Gorban, I. Tyukin, E. Steur +1
We provide Lyapunov-like characterizations of boundedness and convergence of non-trivial solutions for a class of systems with unstable invariant sets. Examples of systems to which…
Non-uniform Small-gain Theorems for Systems with Unstable Invariant Sets
Ivan Tyukin, Erik Steur, Henk Nijmeijer +1
We consider the problem of asymptotic convergence to invariant sets in interconnected nonlinear dynamic systems. Standard approaches often require that the invariant sets be unifor…