Nonlinear differential equations and dynamical systems
Nonlinear differential equations and dynamical systems
The representation of periodic solutions of newtonian systems
Mathematical and Computer Modelling: An International Journal
| Hi-index | 0.98 |
We propose an analytical representation of close-to-equilibrium solutions of nonlinear conservative oscillators with n-degrees of freedom (n=2) using semitrigonometric polynomials, given in closed form. A convergence theorem is proved. Moreover we present an iterative method which implements the proposed representation. Some significant examples are given.