Universality and scaling for the breakup of phase synchronization at the onset of chaos in a periodically driven Rössler oscillator.
Universal behavior discovered earlier in two-dimensional noninvertible maps is found numerically in a periodically driven Rössler 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 parameters. The corresponding scaling regularities, distinct from those of the Feigenbaum cascade, are demonstrated. Presence of a critical quasiattractor, an infinite set of stable periodic orbits of quadrupled periods, is outlined. As argued, this type of critical behavior may occur in a wide class of periodically driven period-doubling systems.
Kuznetsov
S P
SP
Institute of Radio-Engineering and Electronics RAS, Saratov Division, Zelenaya 38, Saratov 410019, Russia.
Sataev
I R
IR