Juan Patiño-Echeverría
Projects
Publications
Journal Publications
- Patiño-Echeverría, Krauskopf & Osinga (2026) Global bifurcation structure of a four-dimensional Lorenz-like system with a wild chaotic attractor. Nonlinearity, 39 065010
PhD thesis
My thesis, “Transitions to Wild Chaos in a Four-Dimensional Lorenz-like Vector Field” (University of Auckland, 2026), studies how high-dimensional ODEs can produce robust chaotic behaviour, and how global bifurcations organise that behaviour in parameter space. Supervised by Professors Hinke Osinga and Bernd Krauskopf.
- Posters and research snapshots: Figshare profile
3 Minutes thesis
Previous research
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Summer Research Scholarship, Victoria University of Wellington Worked with Brendan Harding on fluid dynamics — specifically bifurcation phenomena related to inertial particle focusing and separation in spiral-duct flows.
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Honours project, Victoria University of Wellington Supervised by Mark McGuinness. Investigated synchronisation in coupled oscillators.
Software
MAUTOLAB
A MATLAB toolkit for reading, parsing, and visualising output files produced by AUTO-07p — the numerical continuation software used throughout my PhD research.
AUTO produces three output file types per run (b.*, d.*, s.*), each in a compact but non-trivial plain-text format. MAUTOLAB provides a clean, MATLAB-native interface to all three, with both a programmatic API and interactive GUI apps for exploring bifurcation diagrams, solution trajectories, and eigenvalue/Floquet multiplier spectra.
Additional project
Before starting my PhD, I founded and ran an online teaching initiative, Ingooz (2018–2020), that connected university students with tutors across Latin America.