141 citations · 263 across the 6 of their papers we have counts for
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nlin.PS2009★ 141 cited
Semi-passivity and synchronization of diffusively coupled neuronal oscillators
Erik Steur, Ivan Tyukin, Henk Nijmeijer
We discuss synchronization in networks of neuronal oscillators which are interconnected via diffusive coupling, i.e. linearly coupled via gap junctions. In particular, we present s…
math.OC2009★ 100 cited
Adaptive Observers and Parameter Estimation for a Class of Systems Nonlinear in the Parameters
Ivan Y. Tyukin, Erik Steur, Henk Nijmeijer +1
We consider the problem of asymptotic reconstruction of the state and parameter values in systems of ordinary differential equations. A solution to this problem is proposed for a c…
math.DS2009★ 11 cited
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…