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Nonlinear oscillatory mixing in the generalized Landau scenario
Physical review. E
We present a set of phase-space portraits illustrating the extraordinary oscillatory possibilities of the dynamical systems through the so-called generalized Landau scenario. In its simplest form the scenario develops in N dimensions around a saddle-node pair of fixed points experiencing successive Hopf bifurcations up to exhausting their stable manifolds and generating N-1 different limit cycles. The oscillation modes associated with these cycles extend over a wide phase-space region by mixingdoi:10.1103/physreve.97.052218 pmid:29906878 fatcat:pxuulejkxve73n7nog4kx2ye4q