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20112024
most citedIsostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics

208 citations · 437 across the 22 of their papers we have counts for

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Showing 2014Show all

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math.DS2014

Extreme phase sensitivity in systems with fractal isochrons

Alexandre Mauroy, Igor Mezic

Sensitivity to initial conditions is usually associated with chaotic dynamics and strange attractors. However, even systems with (quasi)periodic dynamics can exhibit it. In this co…

math.DS2014

Global stability analysis using the eigenfunctions of the Koopman operator

Alexandre Mauroy, Igor Mezic

We propose a novel operator-theoretic framework to study global stability of nonlinear systems. Based on the spectral properties of the so-called Koopman operator, our approach can…