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.
Yang
Junzhong
J
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China. jzyang@bupt.edu.cn