SciELO - Scientific Electronic Library Online

 
vol.34 número4A new correlation for the specific heat of metals, metal oxides and metal fluorides as a function of temperatureHydrodynamic analysis of the performance of stern flaps in a semi-displacement hull índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados

Articulo

Indicadores

  • No hay articulos citadosCitado por SciELO

Links relacionados

  • En proceso de indezaciónCitado por Google
  • No hay articulos similaresSimilares en SciELO
  • En proceso de indezaciónSimilares en Google

Bookmark


Latin American applied research

versión impresa ISSN 0327-0793

Resumen

LI, Shaowen; LIAO, Xiaofeng  y  LI, Shaorong. Frequency domain approach to Hopf bifurcation for van der Pol equation with distributed delay. Lat. Am. appl. res. [online]. 2004, vol.34, n.4, pp. 267-274. ISSN 0327-0793.

The van der Pol equation with a distributed time delay and a strong kernel is analyzed. Its linear stability is investigated by employing the generalized Nyquist stability and Routh-Hurwitz criteria. Moreover, local asymptotic stability conditions are also derived in the case of the strong kernel. By using the mean time delay as a bifurcation parameter, the model is found to undergo a sequence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the graphical Hopf bifurcation theory. Some numerical simulation examples for justifying the theoretical analysis are also given.

Palabras llave : Van der Pol Equation; Distributed Delay; Hopf Bifurcation; Periodic Solutions; A Polycyclic Configuration.

        · texto en Inglés     · pdf en Inglés