We propose a general theory of parametric two-sided tropical linear systems based on the connections with zero-sum deterministic mean-payoff games. It is shown how this general theory specializes to particular tropical linear systems with parameter, arising from 1) the two-sided tropical eigenproblem Ax = λ+Bx and 2) the tropical linear programming. This involves 1) the problem of finding the s...

We consider a simple model system supporting stable solitons in two dimensions. The system is the parametrically driven damped nonlinear Schrödinger equation, and the soliton stabilises for sufficiently strong damping. The purpose of this note is to elucidate the stabilisation mechanism; we do this by reducing the partial differential equation to a finite-dimensional dynamical system. Our concl...

A number of data-based approaches to intonation modeling represent F0 movements using continuous parameters. This is contradictory to most intonation theories, which suggest that intonation can be modeled with a set of distinct phonological entities that are phonetically realized as F0 movements. This principle has rarely been incorporated into data-based intonation modeling. In this study we c...