Research Interests：

Piecewise smooth dynamical systems: existence of invariant sets (periodic orbits, chaotic attractors, homoclinic or heteroclinic orbits, …) and their bifurcations

Academic Degrees:

PhD, 2008-2012, Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, China .

Master, 2005-2008, School of Mathematics, Liao Ning Normal University, Dalian, China .

Bachelor, 2001-2005, School of Mathematical Sciences, DeZhou University, Dezhou, China .

Professional Experience

Associate Professor (2018-present); School of Mathematics and Statistics, Huazhong University of Science and Technology.

Lecturer (2014-2017); School of Mathematics and Statistics, Huazhong University of Science and Technology.

Postdoctor (2012-2014); School of Mathematics and Statistics, Huazhong University of Science and Technology.

Selected Publications

[1] S. M. Huan and X. S. Yang, Generalized Hopf bifurcation in a class of planar switched system, Dyn. Syst., 26 (2011), 433--445.

[2] S. M. Huan, Q. D. Li and X. S. Yang, Chaos in three-dimensional hybrid systems and design of chaos generators, Nonlin. Dyn., 69 (2012), 1915--1927.

[3] S. M. Huan and X. S. Yang, Generalized Hopf bifurcation emerged from a corner in general planar piecewise smooth systems, Nonlinear Anal., 75 (2012), 6260--6274.

[4] S. M. Huan and X. S. Yang, On the number of limit cycles in general planar piecewise systems, Discrete Contin. Dyn. Syst., 32 (2012), 2147--2164.

[5] S. M. Huan and X. S. Yang, Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics, Nonlinear Anal., 92 (2013), 82--95.

[6] S. M. Huan, Q. D. Li and X. S. Yang, HORSESHOES IN A CHAOTIC SYSTEM WITH ONLY ONE STABLE EQUILIBRIUM, Internat. J. Bifur. Chaos, 23, (2013) 1350002: 1--14..

[7] S. M. Huan and X. S. Yang, On the number of limit cycles in general planar piecewise linear systems of node–node types, J. Math. Anal. Appl., 411 (2014), 340--353.

[8] S. M. Huan and X. S. Yang, Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems, Internat. J. Bifur. Chaos, 2, (2014) 1450158: 1--16.

[9] S. M. Huan and X. S. Yang, On the number of invariant cones and existence of periodic orbits in 3-dim discontinuous piecewise linear systems, Internat. J. Bifur. Chaos, 26 (2016), 1650043: 1--12.

[10] S. M. Huan, Existence and stability of invariant cones in 3-dim homogeneous piecewise linear systems with two zones, Internat. J. Bifur. Chaos, 27 (2017), 1750007：1-16.

[11] S. M. Huan, Existence of invariant cones in general 3-dim homogeneous piecewise linear differential systems with two zones, Internat. J. Bifur. Chaos, accepted.

Courses Taught

Calculus (二)、(三)、（四);

Linear algebra;

Ordinary differential equations;

Project (as director)

National Natural Science Foundation of China：

Grant No. 11301196

Project name: Study on some bifurcations induced by discontinuity in 3-dim piecewise smooth ODE systems

Time: 2014/01—2016/12