Random attractors for stochastic differential equations driven by two-sided Lévy processes

DOI10.1080/07362994.2019.1637264zbMath1428.37050OpenAlexW2957586814MaRDI QIDQ5240647

Yong Xu, Bin Pei, Björn Schmalfuss, Xiao-Yu Zhang

Publication date: 29 October 2019

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2019.1637264

zbMATH Keywords

Lévy processrandom attractorrandom dynamical system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Generation, random and stochastic difference and differential equations (37H10) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for random and stochastic dynamical systems (37H20) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Related Items (4)

Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise ⋮ Weak mean attractor and periodic measure for stochastic lattice systems driven by Lévy noises ⋮ Averaging principles for nonautonomous two-time-scale stochastic reaction-diffusion equations with jump ⋮ Characterizing persistence and pause dynamical behaviors in biological systems

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