info:eu-repo/semantics/article
Study of degenerate bifurcations in maps: A feedback systems approach
Fecha
2004-12Registro en:
D'amico, Edith Maria Belen; Moiola, Jorge Luis; Paolini, Eduardo Emilio; Study of degenerate bifurcations in maps: A feedback systems approach; World Scientific; International Journal Of Bifurcation And Chaos; 14; 5; 12-2004; 1625-1641
0218-1274
CONICET Digital
CONICET
Autor
D'amico, Edith Maria Belen
Moiola, Jorge Luis
Paolini, Eduardo Emilio
Resumen
The dynamical behavior of nonlinear maps undergoing degenerate period doubling or degenerate Hopf bifurcations is studied via a frequency-domain approach. The technique is based on a discrete-time feedback representation of the system and the application of the well-known engineering tools of harmonic balance to approximate the emerging solutions. More specifically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for illustration. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218127404010266