4 citations · 7 across the 2 of their papers we have counts for
5 papers
A systematic path to non-Markovian dynamics: New response pdf evolution equations under Gaussian coloured noise excitation
K. I. Mamis, G. A. Athanassoulis, Z. G. Kapelonis
Determining evolution equations governing the probability density function (pdf) of non-Markovian responses to random differential equations (RDEs) excited by coloured noise, is an…
Strong solutions for the Alber equation and stability of unidirectional wave spectra
Agissilaos G. Athanassoulis, Gerassimos A. Athanassoulis, Mariya Ptashnyk +1
The Alber equation is a moment equation for the nonlinear Schrödinger equation, formally used in ocean engineering to investigate the stability of stationary and homogeneous sea st…
Semi-explicit solutions to the water-wave dispersion relation and their role in the nonlinear Hamiltonian coupled-mode theory
Theodosios K. Papathanasiou, Christos E. Papoutsellis, Gerassimos A. Athanassoulis
The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and Papoutsellis [1], provides an efficient new approach for solving fully nonlinear water-wave proble…
Implementation of a fully nonlinear Hamiltonian Coupled-Mode Theory, and application to solitary wave problems over bathymetry
Ch. E. Papoutsellis, A. G. Charalampopoulos, G. A. Athanassoulis
This paper deals with the implementation of a new, efficient, non-perturbative, Hamiltonian coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water…
Two-time, response-excitation moment equations for a cubic half-oscillator under Gaussian and cubic-Gaussian colored excitation. Part 1: The monostable case
Gerassimos A. Athanassoulis, Ivi C. Tsantili, Zacharias G. Kapelonis
In this paper a new method is presented for the formulation and solution of two-time, response-excitation moment equations for a nonlinear dynamical system excited by colored, Gaus…