Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach

Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach

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...

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Bibliographic Details
Main Authors: Federico Zadra, Alessandro Bravetti, Marcello Seri
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
contact geometry
geometric integrators
Liénard systems
nonlinear oscillations
Online Access:https://www.mdpi.com/2227-7390/9/16/1960

Internet

https://www.mdpi.com/2227-7390/9/16/1960

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