An algorithm for presenting the entire branches of quasiperiodic solutions starting from the bifurcation points in the branches of periodic solutions in an interval of parameters for the 2-mode damped, driven sine-Gordon ODE is discussed. The algorithm is applied to the other Hopf bifurcation point on the same branch. It is observed that the invariant curves in the new branch behave in opposite ways, i.e. they are relatively much more stable in dynamics yet their geometry is unstable.
|Number of pages||5|
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|State||Published - 1 Jan 2003|