Dynamics of the Double-Well Duffing System
Wilson Gregory, Johan Matheus Tuwankotta, Eric Harjanto

Department of Mathematics, Institut Teknologi Bandung

Abstract

We consider a Duffing system with double-well potential beam system by F. C. Moon and P. J. Holmes (1979). When there is no forcing, we study the stability of the system with and without small damping. Furthermore, the solution of the unforced system will always bounded. When the system is perturbed with a small periodic forcing, superharmonic and subharmonic cases will appear. We obtain approximations for the solution in the nonharmonic, superharmonic, and subharmonic cases which can provide the dynamics of the solution.

Keywords: Duffing system, double-well potential, stability analysis, superharmonic and subharmonic responses

Topic: Minisymposia Dynamical Systems