Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach

Federico Zadra, Alessandro Bravetti, Marcello Seri*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
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Abstract

Starting from a contact Hamiltonian description of Liénard 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
Article number1960
Number of pages26
JournalMathematics
Volume9
Issue number16
DOIs
Publication statusPublished - 16-Aug-2021

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