Пригнічення осциляцій шумом Леві
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 cause...
Збережено в:
Дата: | 2022 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Publishing house "Academperiodika"
2022
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Теми: | |
Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022126 |
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Назва журналу: | Ukrainian Journal of Physics |
Репозитарії
Ukrainian Journal of PhysicsРезюме: | 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 ∆L ~ (∆t)1/α with the exponent α < 2 is always negligible in comparison with the Gaussian variation ∆W ~ (∆t)1/2 in the ∆t → 0 limit. |
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