INMABB 05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
The Homotopy analysis method in bifurcation analysis of delay differential equations
Autor/es:
BEL, ANDREA; REARTES, WALTER
Revista:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Lugar: Singapur; Año: 2012 vol. 22 p. 1 - 12
ISSN:
0218-1274
Resumen:
In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation with a linear delayed feedback. The paper focuses on the calculation of periodic solutions and associated bifurcations, Hopf, double Hopf, Neimark-Sacker, etc. In particular we discuss the behavior of the systems in the neighborhoods of double Hopf points. We demonstrate the applicability of HAM to the analysis of bifurcation and stability.
