21 citations · 64 across the 12 of their papers we have counts for
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math.DS2019★ 21 cited
Quadratic response of random and deterministic dynamical systems
Stefano Galatolo, Julien Sedro
We consider the linear and quadratic higher order terms associated to the response of the statistical properties of a dynamical system to suitable small perturbations. These terms…
math.DS2019★ 9 cited
Arnold maps with noise: Differentiability and non-monotonicity of the rotation number
L. Marangio, J. Sedro, S. Galatolo +2
Arnold's standard circle maps are widely used to study the quasi-periodic route to chaos and other phenomena associated with nonlinear dynamics in the presence of two rationally un…