688 citations · 2.4k across the 52 of their papers we have counts for
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nlin.CD2004★ 312 cited
Testing for Chaos in Deterministic Systems with Noise
Georg A. Gottwald, Ian Melbourne
Recently, we introduced a new test for distinguishing regular from chaotic dynamics in deterministic dynamical systems and argued that the test had certain advantages over the trad…
math.DS2004★ 94 cited
The Lorenz attractor is mixing
Stefano Luzzatto, Ian Melbourne, Frederic Paccaut
We study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows…