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) Chaotic threshold μ for system (16) ((a), (b)) and system (24) ((c), (d)). Panels (a) and (c) show the analytical results of the relations among τ, q and μ; panels (b) and (d) display the analytical results of the relations between τ and μ for q = 0.1,0.2,0.3, and 0.5, respectively.