代表作
The C1 closing lemma for nonsingular endomorphisms. Ergodic Theory Dynam. Systems, 11(1991), 393--412.
The C1 closing lemma for endomorphisms with finitely many singularities. Proc. Amer. Math. Soc. 114 (1992), 217--223.
Anosov endomorphisms on branched surfaces. J. Complexity 8 (1992), 239--264.
On the C1 stabitity comjecture for flows, J. Differential Equations, 129 (1996), 334-357.
A basic C1 pertarbation theorem, J. Differential Equations, 154 (1999), 267-283. (With Z. Xia)
C1 connecting lemmas, Trans. Amer. Math. Soc., 352 (2000), 5213-5230. (With Z. Xia)
Semantic paradoxes as equations. Math. Intelligencer 23 (2001), no. 1, 43–48.
Homoclinic tangencies and domonated splittings, Nonlirearity, 15 (2002), 1445-1469.
Heteroclinic cycles and homoclinic closures for generic diffeomorphisms, J. Dynam. Diff. Eg., 15(2003), 451-471. (With S. Gan)
Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles, Bull. Braz. Math. Soc., 35 (2004), 419-452.
Robustly transitive singular sets via approach of an extended linear Poincare\' flow, Disc. Cont. Dynam. Syst. 13 (2005), 239-269. (With M. Li & S. Gan)
Nonsingular star flows satisfy Axiom A and the no-cycle condition, Invent. math., 164 (2006), 279-315. (With S. Gan)
Periodic points and homoclinic classes. Ergodic Theory Dynam. Systems 27 (2007), no. 1, 1–22. (With F. Abdenur, Ch. Bonatti, S. Crovisier, L. Díaz)
On the existence of non-trivial homoclinic classes. Ergodic Theory Dynam. Systems 27 (2007), no. 5, 1473–1508. (W Ch. Bonatti, S. Gan)
Indices of singularities of robustly transitive sets. Discrete Contin. Dynam. Systems 21 (2008), no. 3, 945–957. (With S. Gan, S. Zhu)
C1-stably shadowable chain components are hyperbolic. J. Differential Equations 246 (2009), no. 1, 340–357. (With S. Gan, X. Wen)
On the singular-hyperbolicity of star flows. J. Mod. Dynam. 8 (2014), no. 2, 191–219. (With S. Gan, Y. Shi)
Codimension one structurally stable chain classes. Trans. Amer. Math. Soc. 368 (2016), no. 6, 3849–3870. (With X. Wen)
Differentiable dynamical systems. An introduction to structural stability and hyperbolicity. Graduate Studies in Mathematics, 173. American Mathematical Society, Providence, RI, 2016.
