Support Code for Geometric numerical integration of Lìenard systems via a contact Hamiltonian approach

Federico Zadra (Developer), Marcello Seri (Developer), Alessandro Bravetti* (Developer)

*Corresponding author for this work

Research output: Non-textual formSoftwareAcademic

Abstract

Starting from a contact Hamiltonian description of Lìenard systems, we
introduce a new family of explicit geometric integrators for these nonlinear
dynamical systems. Focusing on the paradigmatic example of the van der Pol
oscillator, we demonstrate that these integrators are particularly stable and
preserve the qualitative features of the dynamics, even for relatively large
values of the time step and in the stiff regime.
Original languageEnglish
Media of outputOnline
DOIs
Publication statusPublished - 7-May-2020

Keywords

  • contact geometry
  • VAN DER POL OSCILLATOR
  • Lienard Systems
  • geometrical integrators

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