Role of unstable periodic orbits in phase and lag synchronization between coupled chaotic oscillators.
An increase of the coupling strength in the system of two coupled Rössler oscillators leads from a nonsynchronized state through phase synchronization to the regime of lag synchronization. The role of unstable periodic orbits in these transitions is investigated. Changes in the structure of attracting sets are discussed. We demonstrate that the onset of phase synchronization is related to phase-lockings on the surfaces of unstable tori, whereas transition from phase to lag synchronization is preceded by a decrease in the number of unstable periodic orbits.
Pazó
Diego
D
Grupo de Física non Lineal, Fac. de Física, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain. diego@fmmeteo.usc.es
Zaks
Michael A
MA
Kurths
Jürgen
J
D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D013997:Time Factors