References
- V. Araújo and M.J. Pacifivo, Three-Dimensional Flows, Springer, Berlin, 1992.
- C. Bonatti, N. Gourmelon, and T. Vivier, Perturbation of derivative along periodic orbits, Ergod. Theory Dyn. Syst. 26 (2006), pp. 1307–1337.
- C.I. Doering, Persistently transitive vector fields on three- dimensional manifolds, Dyn. Syst. Bifurcat. Theory 160 (1987), pp. 59–89.
- S. Gan, M. Li, and S.B. Tikhomirov, Oriented shadowing property and Ω-stability for vector fields, J. Dyn. Differ. Equ. 28 (2016), pp. 225–237.
- S. Gan and L. Wen, Nonsingular star flows satisfy Axiom A and the no-cycle condition, Invent. Math. 164 (2006), pp. 279–315.
- B. Han and X. Wen, A shadowing lemma for quasi-hyperbolic strings of flows, J. Differ. Equ. 264 (2018), pp. 1–29.
- K. Lee and K. Sakai, Structural stability of vector fields with shadowing, J. Differ. Equ. 232 (2007), pp. 303–313.
- K. Lee, L.H. Tien, and X. Wen, Robustly shadowable chain components of C1 vector fields, J. Korean Math. Soc. 51(1) (2014), pp. 17–53.
- M. Li, S. Gan, and L. Wen, Robustly transitive singular set via approach of an extended linear Poincaré flow, Discrete Contin. Dyn. Syst. 13 (2005), pp. 239–269.
- S. Liao, An existence theorem for periodic orbits, Acta. Sci. Nat. Univ. Pekin. 1 (1979), pp. 1–20.
- S.Y. Pilyugin and S.B. Tikhomirov, Vector fields with the oriented shadowing property, J. Differ. Equ. 248 (2010), pp. 1345–1375.
- R. Ribeiro, Hyperbolicity and types of shadowing for C1 generic vector fields, Discrete Contin. Dyn. Syst. 34 (2014), pp. 2963–2982.
- C. Pugh and C. Robinson, The C1 closing lemma including Hamiltonians, Ergod. Theory Dyn. Syst. 3 (1983), pp. 261–313.
- K. Sakai, Shadowable chain transitive sets, J. Differ. Equ. Appl. 19 (2013), pp. 1601–1618.