Homogenization of coupled fast-slow systems via intermediate stochastic regularization
From MaRDI portal
Publication:2038953
DOI10.1007/s10955-021-02765-7zbMath1470.60150arXiv2003.11297OpenAlexW3157057907MaRDI QIDQ2038953
Maximilian Engel, Christian Kuehn, Marios Antonios Gkogkas
Publication date: 7 July 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.11297
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional limit theorems; invariance principles (60F17) Multiple scale methods for ordinary differential equations (34E13)
Related Items
A general view on double limits in differential equations ⋮ Reduction methods in climate dynamics -- a brief review ⋮ Limits to predictability of the asymptotic state of the Atlantic meridional overturning circulation in a conceptual climate model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth approximation of stochastic differential equations
- Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor
- Hunting French ducks in a noisy environment
- Multiple time scale dynamics
- Sector-delayed-Hopf-type mixed-mode oscillations in a prototypical three-time-scale model
- On the susceptibility function of piecewise expanding interval maps
- Markov approximations and decay of correlations for Anosov flows
- On decay of correlations in Anosov flows
- Geometric singular perturbation theory for ordinary differential equations
- Some probabilistic problems and methods in singular perturbations
- On contact Anosov flows
- From random Poincaré maps to stochastic mixed-mode-oscillation patterns
- Deterministic homogenization for fast-slow systems with chaotic noise
- Polynomial decay of correlations for flows, including Lorentz gas examples
- Stability of mixing and rapid mixing for hyperbolic flows
- A limit theorem for perturbed operator semigroups with applications to random evolutions
- A note on diffusion limits of chaotic skew-product flows
- Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example
- Stability and Control of Stochastic Systems with Wide-band Noise Disturbances. I
- Prevalence of rapid mixing in hyperbolic flows
- One-Parameter Semigroups for Linear Evolution Equations
- Superpolynomial and polynomial mixing for semiflows and flows
- Extracting macroscopic dynamics: model problems and algorithms
- Exponential decay of correlations for surface semi-flows without finite Markov partitions
- Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron
- Nonlinear and Stochastic Climate Dynamics
- Homogenization for deterministic maps and multiplicative noise
- Multiscale Methods
- Linear response formula for piecewise expanding unimodal maps
- Horseshoes in the forced van der Pol system
- A course on rough paths. With an introduction to regularity structures
