37 citations · 79 across the 13 of their papers we have counts for
4 papers · 1 filter
Complexity and integrability in 4D bi-rational maps with two invariants
G. Gubbiotti, N. Joshi, D. T. Tran +1
In this letter we give fourth-order autonomous recurrence relations with two invariants, whose degree growth is cubic or exponential. These examples contradict the common belief th…
Constructing Initial Value Spaces of Lattice Equations
Nalini Joshi, Sarah Lobb, Matthew Nolan
In this paper, we examine the space of initial values for integrable lattice equations, which are lattice equations classified by Adler {\em et al} (2003), known as ABS equations.…
Integrable semi-discretization of the massive Thirring system in laboratory coordinates
Nalini Joshi, Dmitry E. Pelinovsky
Several integrable semi-discretizations are known in the literature for the massive Thirring system in characteristic coordinates. We present for the first time an integrable semi-…
Asymptotic behaviour of the third Painlevé transcendents in the space of initial values
Nalini Joshi, Milena Radnovic
We study the asymptotic behaviour of the solutions of the generic (-type) third Painlevé equation in the space of initial values as the independent variable approaches i…