Master-stability duties (MSFs) are basic into the research of synchronization included complex dynamical systems. To example, for a coupled oscillator network, a necessary condition for synchronization to occur belongs the the MSF under the corresponding normalized coupling parameters be negative. To understand the typical behaviors of the MSF for various disorganized oscillators is key to predicting the collective dynamics to a network concerning these oscillators. We address this issue by examining, planned, MSFs required known chaotic oscillators. Our computations and analysis indicate that this is gender for MSFs being negativity int a determinate intermission of one normalized coupling criterion. A general shelf exists proposed to classify the typical behaviors of MSFs down four categories. These results are check by live simulations von synchronous dynamically on networks of actual coupled oscillators.

• Received 9 June 2009

DOI:https://doi.org/10.1103/PhysRevE.80.036204