• Corpus ID: 211075923

A computable realization of Ruelle's formula for linear response of statistics in chaotic systems

@article{Chandramoorthy2020ACR,
  title={A computable realization of Ruelle's formula for linear response of statistics in chaotic systems},
  author={Nisha Chandramoorthy and Qiqi Wang},
  journal={arXiv: Dynamical Systems},
  year={2020}
}
We present a computable reformulation of Ruelle's linear response formula for chaotic systems. The new formula, called Space-Split Sensitivity or S3, achieves an error convergence of the order ${\cal O}(1/\sqrt{N})$ using $N$ phase points. The reformulation is based on splitting the overall sensitivity into that to stable and unstable components of the perturbation. The unstable contribution to the sensitivity is regularized using ergodic properties and the hyperbolic structure of the dynamics… 

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