Attractors with controllable basin sizes from cooperation of contracting and expanding dynamics in pulse-coupled oscillators<xref rid="cpb_28_1_010502fn1" ref-type="fn">*</xref> <fn id="cpb_28_1_010502fn1"> <label>*</label> <p>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).</p> </fn>

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

The controlled basin sizes for N = 4 globally coupled oscillators with fixed parameters b = 3 and c = 10⁻⁵. (a) The dependence of the basin sizes on the parameter B with fixed parameters ε = 0.15 and τ = 0.18, where the critical value of B is 2.07 indicated by the dashed vertical line. (b) The dependence of the basin sizes on the parameter τ with fixed parameters ε = 0.15 and B = 15.0. Here the shaped region denotes the basin size predicted by Eq. (17) when B is much larger than the critical value.