Computer-Assisted Methods for Analyzing Periodic Orbits in Vibrating Gravitational Billiards

DOI10.1142/S0218127421300214zbMath1473.37099OpenAlexW3176199218MaRDI QIDQ4997480

Kevin E. M. Church, Clement Fortin

Publication date: 29 June 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421300214

zbMATH Keywords

periodic orbitnumerical continuationrigorous numericstime-varying domaingravitational billiards

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with singularities (billiards, etc.) (37C83) Computational methods for invariant manifolds of dynamical systems (37M21)

Uses Software

• INTLAB

Cites Work

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