18 citations · 61 across the 10 of their papers we have counts for
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Cauchy's invariants revisited. An alternative variational proof
Gerassimos A. Athanassoulis, Anastasia Sachinidou
The purpose of this paper is two-fold. First, to provide a straightforward proof of the Cauchy's invariants (CIs) from the particle relabeling symmetry of the action functional for…
A systematic path to non-Markovian dynamics II: Probabilistic response of nonlinear multidimensional systems to Gaussian colored noise excitation
Gerassimos A. Athanassoulis, Nikolaos P. Nikoletatos-Kekatos, Konstantinos Mamis
The probabilistic characterization of non-Markovian responses to nonlinear dynamical systems under colored excitation is an important issue, arising in many applications. Extending…
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…
Extensions of the Novikov-Furutsu theorem, obtained by using Volterra functional calculus
Gerassimos A. Athanassoulis, Konstantinos I. Mamis
Novikov-Furutsu (NF) theorem is a well-known mathematical tool, used in stochastic dynamics for correlation splitting, that is, for evaluating the mean value of the product of a ra…
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…