Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877655 | Physica D: Nonlinear Phenomena | 2005 | 8 Pages |
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: Ï(α,ν)=Ï0âαA0sinâ¡(2ÏνÏ). 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
Hitoshi Mahara, Tomohiko Yamaguchi, Yoshitomi Morikawa, Takashi Amemiya, Tetsuya Yamamoto, Hidetoshi Miike, P. Parmananda,