Journal articles

  1. Robust heterodimensional cycles in two-parameter unfolding of homoclinic tangencies
    (with Xiaolong Li, Katsutoshi Shinohara, Dmitry Turaev)
    J. Eur. Math. Soc. (JEMS) to appear. arXiv (2022)
  2. Persistence of heterodimensional cycles
    (with Dmitry Turaev)
    Invent. Math. 236, 1413–1504 (2024). arXiv
  3. Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors
    (with Dmitry Turaev)
    Nonlinearity 33, 971–1015 (2020). arXiv
  4. Existence of heterodimensional cycles near Shilnikov loops in systems with a Z_2 symmetry
    (with Dmitry Turaev)
    Discrete Contin. Dyn. Syst. 37, 4399–4437 (2017). arXiv
  5. Homoclinic bifurcations that give rise to heterodimensional cycles near a saddle-focus equilibrium Nonlinearity 30, 173–207 (2017). arXiv

Preprints

  1. C^1-robust homoclinic tangencies arXiv (2024)
  2. Blender-producing mechanisms and a dichotomy for local dynamics for heterodimensional cycles arXiv (2024)
  3. Universal bifurcation patterns in the unfolding of a pair of homoclinic tangencies (with Sergey Gonchenko, Dmitry Turaev) arXiv (2022)