53 citations · 644 across the 34 of their papers we have counts for
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astro-ph.EP2019★ 1 cited
Dynamical environments of relativistic binaries: The phenomenon of resonance shifting
Ivan I. Shevchenko, Guillaume Rollin, José Lages
In this article, we explore both numerically and analytically how the dynamical environments of mildly relativistic binaries evolve with increasing the general relativity factor $γ…
nlin.CD2019★ 4 cited
Massive evaluation and analysis of Poincaré recurrences on grids of initial data: a tool to map chaotic diffusion
Ivan I. Shevchenko, Guillaume Rollin, Alexander V. Melnikov +1
We present a novel numerical method aimed to characterize global behaviour, in particular chaotic diffusion, in dynamical systems. It is based on an analysis of the Poincaré recurr…