71 citations · 180 across the 8 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
nlin.CD2017★ 32 cited
Resonances in a Chaotic Attractor Crisis of the Lorenz Flow
Alexis Tantet, Valerio Lucarini, Henk A. Dijkstra
Local bifurcations of stationary points and limit cycles have successfully been characterized in terms of the critical exponents of these solutions. Lyapunov exponents and their as…
math-ph2017
Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part II: Stochastic Hopf Bifurcation
Alexis Tantet, Mickaël D. Chekroun, Henk A. Dijkstra +1
The spectrum of the generator (Kolmogorov operator) of a diffusion process, referred to as the Ruelle-Pollicott (RP) spectrum, provides a detailed characterization of correlation f…