Nonlinear Dynamics of a position-dependent mass driven Duffing-type   oscillator
  We examine some nontrivial consequences that emerge from interpreting a position-dependent mass (PDM) driven Duffing oscillator in the presence of a quartic potential. The propagation dynamics is studied numerically and sensi- tivity to the PDM-index is noted. Remarkable transitions from a limit cycle to chaos through period doubling and from a chaotic to a regular motion through intermediate periodic and chaotic routes are demonstrated. 
Bijan Bagchi, Supratim Das, Samiran Ghosh and Swarup Poria
math-ph math.MP