title: How does a periodic rotating wave emerge from high-dimensional chaos in a ring of coupled chaotic oscillators?
abstract: A route to typical rotating waves from high-dimensional chaos is investigated in diffusively coupled chaotic Rössler oscillators. By increasing the coupling from zero, a high-dimensional spatiotemporal chaos changes into a coherent state, which is periodic in time and well ordered in space, through consecutive transitions. A crossover transition from spatially random chaos to spatially ordered chaos with phase locking and orientational equality (for two directions) breaking is a crucial step for establishing the typical spatial order of the rotating wave.
authors.affiliation: The Abdus Salam International Centre for Theoretical Physics, P. O. Box 586, 34100 Trieste, Italy. yzhang@ictp.trieste.it
authors.forename: Y
authors.initials: Y
authors.lastname: Zhang
authors.forename: G
authors.initials: G
authors.lastname: Hu
authors.forename: H A
authors.initials: HA
authors.lastname: Cerdeira