Jean-Philippe Lessard

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20242026

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math.DS2026

Rigorous verification of period-doubling bifurcations in maps

Olivier Hénot, Jean-Philippe Lessard

We present a computer-assisted approach for proving period-doubling bifurcations in one-parameter families of maps $x \mapsto f (x, λ)$ on $R^{n}$ . We solve a square augmented…

math.DS2026

Platonic constellations of periodic motions in the $(n + 1)$ -body problem

Kevin Constantineau, Carlos García-Azpeitia, Jean-Philippe Lessard

We study the spatial $(n + 1)$ -body problem formed by one heavy central mass together with $n$ equal masses placed on a single orbit of a polyhedral rotation group $H \in {T, O, I}$ , s…

Rigorous verification of period-doubling bifurcations in maps

Platonic constellations of periodic motions in the (n+1)-body problem

Platonic constellations of periodic motions in the $(n + 1)$ -body problem