title: Phase synchronization of diffusively coupled Rössler oscillators with funnel attractors.
abstract: Recently, an antiphase phase-synchronized state in a system of diffusively coupled Rössler oscillators has been reported [Gang Hu et al., Phys. Rev. Lett. 85, 3377 (2000)]. In the current paper this antiphase state is explored in detail. Our interests are concentrated on the comparison with the normal in-phase phase-synchronized state for phase-coherent oscillators and the effect of the lattice size. Our main results are that (i) this antiphase synchronization is only for funnel Rössler attractors and cannot be observed in a system of coupled phase-coherent oscillators; (ii) it can be observed only for intermediate values of the lattice size while it disappears for quite low or large values of the lattice size; and (iii) it is different from the in-phase phase-synchronized state of phase-coherent oscillators in many respects.
authors.affiliation: Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.
authors.forename: H L
authors.initials: HL
authors.lastname: Yang