Professor James J. Stagliano, Jr. Department of Physics, Jacksonville State University
4 PM, Thursday, November 9, 1995
Room 101, Olin Physical Laboratory
When two nonlinear oscillators driven at incommensurate frequencies are coupled together, the resultant motion will lie upon a T^2 torus, i.e. the attractor is a T^2 torus. As a parameter is varied, a sequence of doubling bifurcations of the torus may be observed. This sequence of period doubling bifurcations is always observed to be truncated by the torus becoming discontinuous, destroyed. We present evidence that suggests the destruction of the torus is not the end of period doubling bifurcations and that destroyed tori will undergo a sequence of period doubling bifurcations.