Abstract
We investigate the response of the Oregonator by adding an external periodic force A η cos (ω η τ) to the second component. The order of appearance of a π( m ) band in the mode diagram obtained by changing both the amplitude and frequency of the external force, becomes complex. But we found that the order of appearance of an extension ∏ * ( m ) band of π( m ) band is regular. We also, investigated the order of appearance of band for A η =-10 and π( m , m +1, m +2) band for A η =-11 by using a piecewise linear map approximating the strange attractor in the region of ω η from 4.8 to 6.0. We find that the result of the piecewise linear map concerning the order of appearance of bands, in limited regions of the control parameters A η and ω η agrees qualitatively with that of the forced Oregonator. Furthermore, we investigated the relation between the multiplicity M and ω η for bands which appear in the region from 4.4 to 7.2 ( A η =-10).
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