Attractors with controllable basin sizes from cooperation of contracting and expanding dynamics in pulse-coupled oscillators*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11502200 and 91648101) and the Fundamental Research Funds for the Central Universities, China (Grant No. 3102018zy012).

Zou Hai-Lin, Deng Zi-Chen
       

Regions I and II are the stable and unstable regions, respectively, which are separated by dashed lines obtained according to the critical condition R T = 1 . The parameters are N = 15, b = 3, ε = 0.1, τ = 0.1, and c = 10−5.