MATLAB Implementation of Duffing Oscillator

This document provides a MATLAB implementation of the Duffing oscillator, designed to generate Duffing oscillator sequences. The program numerically solves the Duffing oscillator equation, which characterizes the motion of nonlinear vibration systems. Nonlinear dynamical systems exhibit fascinating phenomena where motion patterns can become extremely complex and even demonstrate chaotic behavior. The implementation utilizes MATLAB's ode45 solver to integrate the differential equation system, with customizable parameters for stiffness nonlinearity, damping coefficients, and external forcing terms. Through this program, researchers can investigate and explore the motion patterns of nonlinear vibration systems, gaining deeper insights into their characteristics and behaviors. The code includes functions for parameter configuration, time-series generation, and phase portrait visualization, making it suitable for both educational and research purposes in dynamical systems analysis.