Chaos in spatially homogeneous Horava-Lifshitz subcritical cosmologies

We consider spatially homogeneous models in Horava-Lifshitz (HL) gravity that perturbs general relativity (GR) by a parameter v is an element of (0, 1) such that GR occurs at v = 1/2. We prove that the induced Kasner map is chaotic for a broad class of modified HL gravity models, when v is an element of (0, 1/2), despite the fact that the Kasner map is multi-valued in such subcritical regime.