2 papers
math.DS2026
Many coexisting attractors, a case study of the almost-conservative Hénon map
Corrado Falcolini, Laura Tedeschini-Lalli, James A. Yorke
For dynamical systems in the plane, there can be many periodic attractors coexisting in a bounded region. They become easier to find in systems with small dissipation, which we cal…
math.DS2025
On the analytic properties of the perturbing function in the PCR3Body Problem
Corrado Falcolini, Davide Zaccaria
We provide a new expansion of the Fourier coefficient of the Perturbing function of the PCR3Body problem in terms of Hansen Coefficients. This gives us a precise asymptotic formula…