This paper analyzes the stability of the amplitude death phenomenon that occurs in a pair of scalar time-delay nonlinear oscillators coupled by static, dynamic, and delayed connections. Stability analysis shows that static connections never induce death in time-delay oscillators. Further, for the case of dynamic and delayed connections, a simple instability condition under which death never occurs is derived. A systematic procedure for estimating the boundary curves of death regions is also provided. These analytical results are then verified by electronic circuit experiments.
引用
Physical Review E. 2008, 78(5), 056216
雑誌名
Physical review. Third series. E, Statistical, nonlinear, and soft matter physics