In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and h(t) are continuous T periodic functions and ε is sufficiently small. Our results are proved using the averaging method of first order.
|Journal||Discrete and Continuous Dynamical Systems|
|Publication status||Published - 1 Jan 2013|
- Averaging method
- Duffing differential equation
- Periodic solution