Decomposition of stochastic flow and an averaging principle for slow perturbations

DOI10.1080/14689367.2020.1769031zbMath1468.60073OpenAlexW3027378162MaRDI QIDQ4988835

Diego S. Ledesma, Fabiano Borges da Silva

Publication date: 19 May 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2020.1769031

zbMATH Keywords

diffusionaveraging principleslow perturbationsdecomposition of stochastic flow

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (2)

Geometric aspects of Young integral: decomposition of flows ⋮ Generating diffusions with fractional Brownian motion

Cites Work

• An averaging principle for diffusions in foliated spaces
• On Sobolev constants of compact Riemannian manifolds and extremal functions of spheres
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• Application of an averaging principle on foliated diffusions: topology of the leaves
• DECOMPOSITION OF STOCHASTIC FLOWS IN MANIFOLDS WITH COMPLEMENTARY DISTRIBUTIONS
• ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS
• STOCHASTIC VERSIONS OF ANOSOV'S AND NEISTADT'S THEOREMS ON AVERAGING
• Noise-Induced Phenomena in Slow-Fast Dynamical Systems
• An averaging principle for a completely integrable stochastic Hamiltonian system
• Averaging methods in nonlinear dynamical systems
• The geometry of Markov diffusion generators
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