212 citations · 271 across the 11 of their papers we have counts for
4 papers · 1 filter
Energy partition for anharmonic, undamped, classical oscillators
Michal Mandrysz, Bartlomiej Dybiec
Using stochastic methods, general formulas for average kinetic and potential energies for anharmonic, undamped (frictionless), classical oscillators are derived. It is demonstrated…
Bounding energy growth in friction-less stochastic oscillators
Michał Mandrysz, Bartłomiej Dybiec
The paper presents analytical and numerical results on energetics of non-harmonic, undamped, single-well, stochastic oscillators driven by additive Gaussian white noises. Absence o…
Deterministic and randomized motions in single-well potentials
Michal Mandrysz, Bartlomiej Dybiec
Newtonian, undamped motion in single-well potentials belong to a class of well-studied conservative systems. Here, we investigate and compare long-time properties of fully determin…
Energetics of the single-well undamped stochastic oscillators
Michał Mandrysz, Bartłomiej Dybiec
The paper discusses analytical and numerical results for non-harmonic, undamped, single-well, stochastic oscillators driven by additive noises. It focuses on average kinetic, poten…