Title :
Bifurcation theory of a class of perturbed mappings
Author :
O´Donnell, Barry ; Curran, Paul F. ; Feely, Orla
Author_Institution :
Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin
Abstract :
Bifurcation theory for a class of perturbed mappings is presented. This class describes perturbed systems such as periodically driven digital phase locked loops and the aim of this paper is to analyze its bifurcation structure in complete generality. This bifurcation structure is discussed in relation to that of the associated unperturbed system and comparisons are made between the two
Keywords :
bifurcation; digital phase locked loops; network analysis; perturbation techniques; bifurcation theory; periodically driven digital phase locked loops; perturbed mappings; perturbed systems; Bifurcation; Difference equations; Digital modulation; Educational institutions; Filters; Mechanical engineering; Nonlinear equations; Phase locked loops; Phase modulation; Steady-state;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1693188
