近期，我院宦颂梅副教授与合作者的文章《Existence and Bifurcation of a New Type of Sliding Homoclinic Orbit in a Class of 3D-Filippov Systems with Two Zones》在国际期刊《International Journal of Bifurcation and Chaos》发表。

     摘要：In this paper, we investigate the existence and bifurcation of a new type of sliding homoclinic orbit (which will be called sliding-saddle-type homoclinic orbit) connecting a sliding saddle to itself in a family of 3D-piecewise-linear differential systems with two zones. We provide some sufficient conditions for the existence of this new type of sliding homoclinic orbit and then give a concrete example. In addition, we obtain some sufficient conditions to guarantee that this type of sliding homoclinic orbit can give birth to a sliding cycle under small perturbations.

     论文链接：https://www.worldscientific.com/doi/10.1142/S0218127426502123?__cf_chl_tk=Y9xntjLuQZw1oYQNjTWxnmTPnWKP4jvgBoKqrSAhEIY-1790565489-1.0.1.1-zgzB_BDQkcg6Q81WgYDKnuFTVXk17_UesSw7uqkpy40