INVESTIGADORES
D'AMICO Edith Maria Belen
artículos
Título:
Study of degenerate bifurcations in maps: A feedback systems approach
Autor/es:
MARÍA BELÉN D'AMICO; JORGE MOIOLA; EDUARDO PAOLINI
Revista:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Lugar: London, UK; Año: 2004 vol. 14 p. 1625 - 1641
ISSN:
0218-1274
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 specically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for  illustration.