Partial synchronization in coupled time-continuous systems

Sergiy Yanchuk and Yuri Maistrenko

Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska str., 3, 01601, Kiev

Erik Mosekilde

Department of Physics, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark

Abstract: We prove the existence of partial synchronization in a model of diffusively coupled three and four Roessler systems. The proposed approach allows us to determine which of the possible clustering structures will be stable. The dynamics of clusters is also investigated. We show how other time-continuous systems can be investigated by the presented method.