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math-ph2024
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…
math-ph2024
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…