3 citations · 5 across the 3 of their papers we have counts for
3 papers · 1 filter
Phase and amplitude responses for delay equations using harmonic balance
Rachel Nicks, Robert Allen, Stephen Coombes
Robust delay induced oscillations, common in nature, are often modeled by delay-differential equations (DDEs). Motivated by the success of phase-amplitude reductions for ordinary d…
Insights into oscillator network dynamics using a phase-isostable framework
Rachel Nicks, Robert Allen, Stephen Coombes
Networks of coupled nonlinear oscillators can display a wide range of emergent behaviours under variation of the strength of the coupling. Network equations for pairs of coupled os…
Oscillatory networks: Insights from piecewise-linear modeling
Stephen Coombes, Mustafa Sayli, Rüdiger Thul +3
There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such net…