Journal articles

  1. Persistence of heterodimensional cycles (with Dmitry Turaev) Inventiones mathematicae, 236, 1413–1504 (2024). arXiv
  2. Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors (with Dmitry Turaev) Nonlinearity, 33, 971–1015 (2020). arXiv
  3. Existence of heterodimensional cycles near Shilnikov loops in systems with a Z_2 symmetry (with Dmitry Turaev) Discrete and Continuous Dynamical Systems, 37, 4399–4437 (2017). arXiv
  4. 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)
  4. Robust heterodimensional cycles in two-parameter unfolding of homoclinic tangencies (with Xiaolong Li, Katsutoshi Shinohara, Dmitry Turaev) arXiv (2022)