4 papers
The integrable Volterra system in the case of infinitely many species, either countable or uncountable
Orlando Ragnisco, Federico Zullo
In the present paper we derive a further extension of the results contained in two recent articles, both published in Open Communications in Nonlinear Mathematical Physics, where i…
The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system
Orlando Ragnisco, Federico Zullo
The results presented in this paper are a natural development of those described in the paper {\it The Volterra Integrable case. Novel analytical and numerical results} (OCNMP Vol.…
The Volterra Integrable case. Novel analytical and numerical results
M. Scalia, O. Ragnisco, B. Tirozzi +1
In the present paper we reconsider the integrable case of the Hamiltonian -species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich t…
Properties of the series solution for Painleve I
A. N. W. Hone, O. Ragnisco, F. Zullo
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painleve equation. For the general solution,…