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nlin.SI2025
Global branching of solutions to ODEs and integrability
Rod Halburd
We consider a natural generalisation of the Painlevé property and use it to identify the known integrable cases of the Lane-Emden equation with a real positive index. We classify c…
nlin.SI2024
All meromorphic solutions of a 3D Lotka-Volterra system: detecting partial integrability
Techheang Meng, Rod Halburd
For an autonomous system of ordinary differential equations, the existence of a meromorphic general solution is equivalent to the Painlevé property, which is widely used to detect…