Abstract
The responses of an excitable system to external periodic perturbations are studied by using the photosensitive Oregonator that is a three variable model of the photosensitive Belousov–Zhabotinsky reaction. The system is set at the vicinity of the subcritical Hopf bifurcation point, and sinusoidal perturbation is given by light: ϕ ( α , ν ) = ϕ 0 − α A 0 sin ( 2 π ν τ ) . The dynamic threshold for firing appears as a U-shaped line in ν – α plane. Under high-frequency perturbations, the system shows a subthreshold period-doubling cascade, subthreshold chaotic responses (excitable chaos) and reaches firing chaos as a result of expansion of orbits around the fixed point.
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