| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630867 | Applied Mathematics and Computation | 2012 | 5 Pages |
Abstract
In this paper, the exact solution of the quadratic mixed-parity Helmholtz–Duffing oscillator is derived by using Jacobi elliptic functions. It is also shown that the exact period of oscillation is given as a function of the complete elliptic integral of the first kind. At the end of the paper, we examine the stability of the system and determine the regions for which periodic and unbounded motions take place.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alex Elías-Zúñiga,