Energy-Preserving/Group-Preserving Schemes for Depicting Nonlinear Vibrations of Multi-Coupled Duffing Oscillators

In the paper, we first develop a novel automatically energy-preserving scheme (AEPS) for the undamped and unforced single and multi-coupled Duffing equations by recasting them to the Lie-type systems of ordinary differential equations. The AEPS can automatically preserve the energy to be a constant...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/7/1/6