Homoclinic and heteroclinic chaos in nonlinear systems driven by trichotomous noise<xref rid="cpb_26_3_030502fn1" ref-type="fn">*</xref> <fn id="cpb_26_3_030502fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant No. 11672231), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2016JM1010), the Fundamental Research Funds for the Central Universities, China (Grant No. 3102015ZY073), and the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University, China.</p> </fn>

Homoclinic and heteroclinic chaos in nonlinear systems driven by trichotomous noise* *

Project supported by the National Natural Science Foundation of China (Grant No. 11672231), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2016JM1010), the Fundamental Research Funds for the Central Universities, China (Grant No. 3102015ZY073), and the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University, China.

Lei You-Ming, Zhang Hong-Xia^†

(color online) Plots of chaotic threshold μ versus correlation time τ for system (16) ((a)–(c)) and system (24) ((d)–(f)). Panels (a) and (d) show numerical results of the relationship between τ and μ for different q values; in panels (b), (c), (e), and (f). ‘–’ denotes analytical result; ‘‥’ refers to numerical result.