Transitions to amplitude death in a regular array of nonlinear oscillators.
We investigate amplitude death in a regular array of nonlinear oscillators. We find that the system undergoes three transitions during the road to complete amplitude death. The first two are related to partial amplitude death: one induces partial amplitude death and the other enhances it. The last transition establishes complete amplitude death. We also find that the first two belong to a second-order transition and are universal while the last one is strongly dependent on the system parameters.
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China. jzyang@bupt.edu.cn
Junzhong
J
Yang