Title :
On the bifurcation properties of a class of differentiate mappings
Author :
O´Donnell, Barry ; Curran, Paul F. ; Feely, Orla
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. Coll. Dublin, Ireland
fDate :
28 Aug.-2 Sept. 2005
Abstract :
The bifurcation properties of a class of differential mappings are examined. This class describes perturbed systems that are characterized in the steady-state by an invariant set of points in the period-1 region. It was found that bifurcation points of the perturbed and associated unperturbed system satisfy a strict ordering for the period-1 case. In this paper it is proven that in general there exists period-n intervals whose bifurcation points, together with the bifurcation points of the period-n points of the unperturbed system, obey the same ordering result.
Keywords :
bifurcation; nonlinear differential equations; associated unperturbed system; bifurcation points; differentiate mapping; period-1 region; period-n interval; perturbed system; Belts; Bifurcation; Delta modulation; Difference equations; Digital modulation; Filters; Nonlinear equations; Phase locked loops; Phase modulation; Steady-state;
Conference_Titel :
Circuit Theory and Design, 2005. Proceedings of the 2005 European Conference on
Print_ISBN :
0-7803-9066-0
DOI :
10.1109/ECCTD.2005.1522950
