A comparative evaluation of structure-preserving integrators based on the duffing oscillator and coupled pendulums

Key Points

• Structure-preserving integrators show enhanced performance in simulating the dynamics of the duffing oscillator,
• The study reveals a significant accuracy increase when using structure-preserving methods, demonstrating reduced numerical error in simulations,
• Numerical examples illustrate the effectiveness of these integrators over conventional methods, providing clear benefits in real-time application,
• The findings support the application of advanced integrators in complex dynamic systems, encouraging broader adoption in engineering and physics.