279 citations · 516 across the 4 of their papers we have counts for
4 papers
Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays
Wenlian Lu, Fatihcan M. Atay, Jurgen Jost
We analyze stability of consensus algorithms in networks of multi-agents with time-varying topologies and delays. The topology and delays are modeled as induced by an adapted proce…
Synchronization in discrete-time networks with general pairwise coupling
Frank Bauer, Fatihcan M. Atay, Juergen Jost
We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carr…
Delayed Feedback Control near Hopf Bifurcation
Fatihcan M. Atay
The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability…
Clustered chimera states in delay coupled oscillator systems
Gautam C. Sethia, Abhijit Sen, Fatihcan M. Atay
We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that ha…