Equivariant divergence formula for chaotic flows
Dynamical Systems
2023-12-20 v1 Numerical Analysis
Numerical Analysis
Computational Physics
Abstract
We prove the equivariant divergence formula for the axiom A flow attractors, which is a recursive formula for perturbation of transfer operators of physical measures along center-unstable manifolds. Hence the linear response acquires an `ergodic theorem', which means that it can be sampled by recursively computing only many vectors on one orbit, where is the unstable dimension.
Keywords
Cite
@article{arxiv.2312.12171,
title = {Equivariant divergence formula for chaotic flows},
author = {Angxiu Ni and Yao Tong},
journal= {arXiv preprint arXiv:2312.12171},
year = {2023}
}
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