Universality and scaling for the breakup of phase synchronization at the onset of chaos in a periodically driven Rossler oscillator - art. no. 046214

Universal behavior discovered earlier in two-dimensional noninvertible maps is found numerically in a periodically driven Rossler system. The critical behavior is associated with the limit of a period-doubling cascade at the edge of the Arnold tongue, and may be reached by variation of two control p arameters. The corresponding scaling regularities, distinct from those of t he Feigenbaum cascade, are demonstrated. Presence of a critical quasiattrac tor, an infinite set of stable periodic orbits of quadrupled periods, is ou tlined. As argued, this type of critical behavior may occur in a wide class of periodically driven period-doubling systems.