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arXiv · 2607.15233

Study of Duffing oscillator using an improved Lindstedt Poincare method and relevant comparisons

Ramij Ahamed·Subhankar Ray
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Abstract

The undamped Duffing oscillator is a nonlinear dynamical system with broad applications in physics, engineering and biological system. We present a comprehensive analysis of this system using the Lindstedt Poincare method (LPM) and its modifications and make comparison with numerical solution obtained using higher order Runge-Kutta. It is also shown the method suggested in this article converges better than the standard LPM and Lindstedt Poincare method with Burton's modification.

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Ramij Ahamed, Subhankar Ray. 2026-07-16. Study of Duffing oscillator using an improved Lindstedt Poincare method and relevant comparisons. https://arxiv.org/abs/2607.15233

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