TY - JOUR
AU - Olemskoi, A.I.
AU - Borysov, S.S.
AU - Shuda, I.A.
PY - 2022/02/15
Y2 - 2023/01/30
TI - Suppression of Oscillations by Lévy Noise
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 56
IS - 3
SE - General problems of theoretical physics
DO - 10.15407/ujpe56.3.287
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022126
SP - 287
AB - <p>We find the analytic solution of a pair of stochastic equations with arbitrary forces and multiplicative Lévy noises in a steady-state nonequilibrium case. This solution shows that Lévy flights always suppress a quasiperiodic motion related to the limit cycle. We prove that such suppression is caused by that the Lévy variation <em>∆L ~ </em>(∆<em>t</em>)<sup>1/<em>α</em></sup> with the exponent <em>α </em>< 2 is always negligible in comparison with the Gaussian variation <em>∆W ~ </em>(<em>∆t</em>)<sup>1/2</sup> in the <em>∆t →</em> 0 limit.</p>
ER -