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math.DS2020
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…
math.DS2020
Cauchy distributions for the integrable standard map
Anastasios Bountis, J. J. P. Veerman, Franco Vivaldi
We consider the integrable (zero perturbation) two--dimensional standard map, in light of current developments on ergodic sums of irrational rotations, and recent numerical evidenc…