Article ID Journal Published Year Pages File Type
9877655 Physica D: Nonlinear Phenomena 2005 8 Pages PDF
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)=ϕ0−αA0sin⁡(2πντ). 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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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