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arXiv · 1408.2937

Linear response, or else

Viviane Baladi
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Abstract

Consider a smooth one-parameter family t -> f_t of dynamical systems f_t, with |t| m_t is differentiable at t=0 (possibly in the sense of Whitney), and if its derivative can be expressed as a function of f_0, m_0, and d_t f_t|_(t=0). The goal of this note is to present to a general mathematical audience recent results and open problems in the theory of linear response for chaotic dynamical systems, possibly with bifurcations.

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Viviane Baladi. 2014-08-13. Linear response, or else. https://arxiv.org/abs/1408.2937

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