11 citations · 19 across the 9 of their papers we have counts for
10 papers
Dynamics and Statistics of Weak Chaos in a 4--D Symplectic Map
Tassos Bountis, Konstantinos Kaloudis, Helen Christodoulidi
The important phenomenon of "stickiness" of chaotic orbits in low dimensional dynamical systems has been investigated for several decades, in view of its applications to various ar…
Energy Transport in 1-Dimensional Oscillator Arrays With Hysteretic Damping
Tassos Bountis, Konstantinos Kaloudis, Joniald Shena +2
Energy transport in 1-dimensional oscillator arrays has been extensively studied to date in the conservative case, as well as under weak viscous damping. When driven at one end by…
On the approximation of basins of attraction using deep neural networks
Joniald Shena, Konstantinos Kaloudis, Christos Merkatas +1
The basin of attraction is the set of initial points that will eventually converge to some attracting set. Its knowledge is important in understanding the dynamical behavior of a g…
Estimation of the effective reproduction number for SARS-CoV-2 infection during the first epidemic wave in the metropolitan area of Athens, Greece
Konstantinos Kaloudis, George A. Kevrekidis, Helena C. Maltezou +3
Herein, we provide estimations for the effective reproduction number for the greater metropolitan area of Athens, Greece during the first wave of the pandemic (February 26-Ma…
Periodic solutions and the avoidance of pull--in instability in non--autonomous micro--electro--mechanical systems
Shirali Kadyrov, Ardak Kashkynbayev, Piotr Skrzypacz +2
We study periodic solutions of a one-degree of freedom micro-electro-mechanical system (MEMS) with a parallel-plate capacitor under --periodic electrostatic forcing. We obtain a…
Stability Properties of 1-Dimensional Hamiltonian Lattices with Non-analytic Potentials
Anastasios Bountis, Konstantinos Kaloudis, Thomas Oikonomou +2
We investigate the local and global dynamics of two 1-Dimensional (1D) Hamiltonian lattices whose inter-particle forces are derived from non-analytic potentials. In particular, we…
Periodically Forced Nonlinear Oscillators With Hysteretic Damping
Anastasios Bountis, Konstantinos Kaloudis, Christos Spitas
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a periodic force under hysteretic damping, whose linear version was originally prop…
A Bayesian nonparametric approach to the approximation of the global stable manifold
Spyridon J. Hatjispyros, Konstantinos Kaloudis
We propose a Bayesian nonparametric model based on Markov Chain Monte Carlo (MCMC) methods for unveiling the structure of the invariant global stable manifold from observed time-se…
A Bayesian Nonparametric Approach to Dynamical Noise Reduction
Konstantinos Kaloudis, Spyridon J. Hatjispyros
We propose a Bayesian nonparametric approach for the noise reduction of a given chaotic time series contaminated by dynamical noise, based on Markov Chain Monte Carlo methods (MCMC…
A Bayesian Nonparametric approach to Reconstruction and Prediction of Random Dynamical Systems
Christos Merkatas, Konstantinos Kaloudis, Spyridon J. Hatjispyros
We propose a Bayesian nonparametric mixture model for the reconstruction and prediction from observed time series data, of discretized stochastic dynamical systems, based on Markov…