13 citations · 39 across the 8 of their papers we have counts for
5 papers · 1 filter
Rational Maps with Invariant Surfaces
N. Joshi, CM. Viallet
We provide new examples of integrable rational maps in four dimensions with two rational invariants, which have unexpected geometric properties, as for example orbits confined to n…
Asymptotic behaviour of the fifth Painlevé transcendents in the space of initial values
Nalini Joshi, Milena Radnović
We study the asymptotic behaviour of the solutions of the fifth Painlevé equation as the independent variable approaches zero and infinity in the space of initial values. We show t…
Stokes Phenomena in Discrete Painlevé II
Nalini Joshi, Christopher Lustri, Steven Luu
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the independent variable becomes large. Using asymptotic power series, we find solutio…
Asymptotic behaviour of the fourth Painlevé transcendents in the space of initial values
Nalini Joshi, Milena Radnović
We study the asymptotic behaviour of solutions of the fourth Pain\-levé equation as the independent variable goes to infinity in its space of (complex) initial values, which is a g…
Singular dynamics of a -difference Painlevé equation in its initial-value space
Nalini Joshi, Sarah Lobb
We construct the initial-value space of a -discrete first Painlevé equation explicitly and describe the behaviours of its solutions in this space as , with pa…