Article ID Journal Published Year Pages File Type
472730 Computers & Mathematics with Applications 2011 5 Pages PDF
Abstract

The method of Hamiltonian approach and the energy balance method are applied to obtain the periodic solutions of nonlinear oscillations of a punctual charge in the electric field of charged ring. The obtained approximate frequencies are accurate for the entire range of oscillation amplitudes. A good agreement of the approximate frequencies and periodic solutions with the exact ones are demonstrated and discussed. It is also proved that the results of the energy balance method are better than the Hamiltonian approach for solving this equation.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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