141 citations · 263 across the 6 of their papers we have counts for
6 papers
Programmable metachronal motion of densely packed magnetic artificial cilia
Tongsheng Wang, Tanveer ul Islam, Erik Steur +5
Despite recent advances in artificial cilia technologies, the application of metachrony, which is the collective wavelike motion by cilia moving out-of-phase, has been severely ham…
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…
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…
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…
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…