Projects

Research (PhD)
Wild chaos, global bifurcations, invariant manifolds, and numerical continuation.

Publications

Preprints

• Patiño-Echeverría, Krauskopf & Osinga (2025)
  Global bifurcation structure of a four-dimensional Lorenz-like system with a wild chaotic attractor.
  Preprint (University of Auckland)

Current work

My thesis, “Transitions to Wild Chaos in a Four-Dimensional Lorenz-like System”, studies how high-dimensional ODEs can produce robust chaotic behaviour, and how global bifurcations organise that behaviour in parameter space.

• Posters / research snapshots: Figshare profile

Animated phase-space projection from my 4D Lorenz-like system work.

3-Minute Thesis

Previous research

• Summer Research Scholarship, Victoria University of Wellington
  Worked with Brendan Harding (Fluid Dynamics).
  Studied bifurcation phenomena related to inertial particle focusing and separation in spiral-duct flows.

• Honours project, Victoria University of Wellington
  Supervised by Mark McGuinness.
  Investigated synchronisation in coupled oscillators.

Additional project

Before starting research in mathematics, I founded and ran an online teaching initiative: Ingooz (2018–2020), connecting university students with tutors across Latin America.