Published January 8, 2020 | Version 0.1.0
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UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems

  • 1. School of Mathematics, University Walk, University of Bristol, Clifton BS8 1TW, Bristol, United Kingdom

Description

This Python package is a collection of three methods for computing unstable periodic orbits in Hamiltonian systems that model a diverse array of problems in physical sciences and engineering. The unstable periodic orbits exist in the bottleneck of the equipotential line V(x,y) = E and project as lines on the configuration space (x,y). A brief description is available in the attached paper.pdf and the developer version of the package along with demonstrations is available at https://github.com/WenYangLyu/UPOsHam

Notes

Development supported by EPSRC Grant No. EP/P021123/1, Office of Naval Research (Grant No. N00014-01-1-0769), London Mathematical Society undergraduate research bursary 2019, and School of Mathematics at the University of Bristol.

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