Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise

DOI10.1142/S0219530519500027zbMath1417.37269arXiv1702.08213OpenAlexW2913544682MaRDI QIDQ4968724

Shenglan Yuan, Jianyu Hu, Xian-Ming Liu, Jin-qiao Duan

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/1702.08213

zbMATH Keywords

dimension reductionstochastic dynamical systemsslow manifoldscritical manifoldsexponentially tracking property

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items

Effective filtering for multiscale stochastic dynamical systems driven by Lévy processes ⋮ Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning ⋮ Stochastic dynamics and data science ⋮ The role of slow manifolds in parameter estimation for a multiscale stochastic system with α-stable Lévy noise ⋮ Slow manifolds for a nonlocal fast-slow stochastic system with stable Lévy noise ⋮ Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise ⋮ Random invariant manifolds of stochastic evolution equations driven by Gaussian and non-Gaussian noises

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation of random slow manifolds and settling of inertial particles under uncertainty
• Slow manifolds for multi-time-scale stochastic evolutionary systems
• Slow foliation of a slow-fast stochastic evolutionary system
• Slow manifold and averaging for slow-fast stochastic differential system
• A stochastic version of center manifold theory
• Invariant manifolds for stochastic partial differential equations.
• Large deviations and approximations for slow-fast stochastic reaction-diffusion equations
• Smooth stable and unstable manifolds for stochastic evolutionary equations
• Theory of stochastic differential equations with jumps and applications.
• A parameter estimation method based on random slow manifolds
• Invariant manifolds for random dynamical systems with slow and fast variables
• Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
• Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach
• Invariant manifolds for random and stochastic partial differential equations
• CONCEPTUAL STOCHASTIC CLIMATE MODELS
• Lévy Processes and Stochastic Calculus
• Noise-Induced Phenomena in Slow-Fast Dynamical Systems
• Master-slave synchronization and invariant manifolds for coupled stochastic systems
• Minimum entropy control of non-Gaussian dynamic stochastic systems
• Stochastic Partial Differential Equations with Levy Noise
• Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes
• Brownian Motion

This page was built for publication: Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise