English

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 2u2u many vectors on one orbit, where uu 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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R2 v1 2026-06-28T13:56:06.537Z