Quasi-Periodic Hopf-Bifurcations in Forced Oscillators

摘要

The modified differential equation of Deffing-Van der Pol for nonlinear vibrations (Stoker's problem) is studied as an autonomous system or as a vector field over a certain phase-space (one forced oscillator over the product of n-dimensional real torus by the complex numbers system). The solution of the Stoker problem, provided a hypothesis of coefficients over forced oscillator is given, when the quasi-periodic Hopf-bifurcations are studied over Stoker's tori, is discussed.