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math.DS2012★ 18 cited
Probabilistic Convergence Guarantees for Type II Pulse Coupled Oscillators
Joel Nishimura, Eric J. Friedman
We show that a large class of pulse coupled oscillators converge with high probability from random initial conditions on a large class of graphs with time delays. Our analysis comb…
math.DS2011★ 39 cited
Robust convergence in pulse coupled oscillators with delays
Joel Nishimura, Eric J. Friedman
We show that for pulse coupled oscillators a class of phase response curves with both excitation and inhibition exhibit robust convergence to synchrony on arbitrary aperiodic conne…