Loose synchrony in relaxation oscillator networks with time delays

Coupled relaxation oscillators have been shown to exhibit robust properties of synchrony and desynchrony. We study a network of such oscillators with the inclusion of time delay in the coupling. Analytic results for a pair of oscillators show loose synchrony as a stable solution for a wide range of initial conditions and time delays. Computer simulations show a network of oscillators with time delay coupling can display loose synchrony. Simulations of oscillator networks with variations in time delays and connection strengths between oscillators demonstrate loose synchrony is still achieved