Slow manifolds for a nonlocal fast-slow stochastic evolutionary system with stable Levy noise

Hina Zulfiqar; Shenglan Yuan; Ziying He; Jinqiao Duan

doi:10.1063/1.5093181

paper

Slow manifolds for a nonlocal fast-slow stochastic evolutionary system with stable Levy noise

arXiv:1902.01589 · doi:10.1063/1.5093181

Abstract

This work aims at understanding the slow dynamics of a nonlocal fast-slow stochastic evolutionary system with stable Levy noise. Slow manifolds along with exponential tracking property for a nonlocal fast-slow stochastic evolutionary system with stable Levy noise are constructed and two examples with numerical simulations are presented to illustrate the results.