Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises

DOI10.1016/S0252-9602(12)60107-6zbMath1274.37032arXiv1201.6017OpenAlexW2963439837MaRDI QIDQ1954074

Cheng-Jian Zhang, Huiqin Chen, Jin-qiao Duan

Publication date: 20 June 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6017

zbMATH Keywords

stochastic dynamical systemsstochastic bifurcationLévy jump measurenon-Gaussian Lévy motionimpact of non-Gaussian noises

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Bifurcation theory for random and stochastic dynamical systems (37H20) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (6)

Bifurcation dynamics of the tempered fractional Langevin equation ⋮ A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits ⋮ Stochastic bifurcation in single-species model induced by α-stable Lévy noise ⋮ Fractional noise destroys or induces a stochastic bifurcation ⋮ Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Lévy noise ⋮ Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise

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