An averaging method applied to a duffing equation

Abstract

We approximate a Duffing equation by an averaged system. We solve the system explicitely and draw bifurcation diagrams in dependence of the forcing term. We discuss the goodness of the averaging method, relative to the behavior of the solutions in dependence of involved parameters, by comparing with results obtained in [6,10] for the original Duffing equation.

Keywords:

• averaging method
• Duffing equation
• number of solutions

¹AMS(M0S): 34C15, 34C29

²Supported in part by DIULS 120-2-71, Universidad de La Serena

¹AMS(M0S): 34C15, 34C29

²Supported in part by DIULS 120-2-71, Universidad de La Serena

Notes

¹AMS(M0S): 34C15, 34C29

²Supported in part by DIULS 120-2-71, Universidad de La Serena