Abstract: Effect of conduction delay on dynamical behavior of spiral waves is investigated in Greenberg-Hastings model.It shows that in some cases dynamical behavior of spiral waves is not impacted by conduction delay.Changes in wavelength and wave speed,breathing spiral wave,multi-armed spiral wave,coexistence of spiral wave and anti-spiral wave are observed.Physical mechanisms of these phenomena are briefly analyzed.

Key words: conduction delay, Greenberg-Hastings model, spiral waves