Artículos de revistas
Isochronous bifurcations in second-order delay differential equations
Fecha
2014-06Registro en:
Reartes, Walter; Bel, Andrea Liliana; Isochronous bifurcations in second-order delay differential equations; Texas State University; Electronic Journal of Differential Equations; 2014; 162; 6-2014; 1-12
1072-6691
CONICET Digital
CONICET
Autor
Bel, Andrea Liliana
Reartes, Walter
Resumen
In this article we consider a special type of second-order delay differential equations. More precisely, we take an equation of a conservative mechanical system in one dimension with an added term that is a function of the difference between the value of the position at time t minus the position at the delayed time t−τ. For this system, we show that, under certain conditions of non-degeneration and of convergence of the periodic solutions obtained by the Homotopy Analysis Method, bifurcation branches appearing in a neighbourhood of Hopf bifurcation due to the delay are isochronous; i.e., all the emerging cycles have the same frequency.