The Duffing Oscillator: Applications and Computational Simulations
J. Sunday *
Department of Mathematics, Adamawa State University, Mubi, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Duffing oscillator (or Duffing Equation) is one of the most significant and classical nonlinear ordinary differential equations in view of its diverse applications in science and engineering. This paper attempts to study some applications of Duffing oscillator and also develop an alternative computational method that may be used to simulate it. In developing the computational method for simulating the Duffing oscillator, power series was adopted as the basis function with the integration carried out within a one-step interval. The computational method developed was applied on some modeled Duffing oscillators and from the results obtained; it is evident that the method developed is computationally reliable.
Keywords: Chaos, damping, Duffing oscillator, nonlinear, simulations