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

(a) Controlled unstable attractors with basin sizes of the order c are insensitive to small perturbations such as of the order 0.1c, which are introduced at the arrow positions. (b) The strong perturbations of the strength 5c can induce subsequent switching among different attractors. The parameters are chosen as N = 15, b = 3, ε = 0.1, τ = 0.1, B = 2, and c = 10⁻⁴.