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

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.

References in corpus (3)

• Smooth stable and unstable manifolds for stochastic partial differential equations
• Slow foliation of a slow-fast stochastic evolutionary system
• Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise

Cited by in corpus (1)

• Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning