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The Hamiltonian approach and the variational approach are utilized to treat the relativistic harmonic oscillator for the amplitude-frequency relationship. The nice reliability is shown by the result comparison with that from open literature. The simplicity and efficiency of the methods are also disclosed for different range of the initial amplitude during looking for the amplitude-frequency relationship...
The amplitude-frequency formulation is used to deal with the conservative nonlinear oscillator equation, one of analytic Lienard type equations for the amplitude-frequency relationship. Special location is found for the problem under discussion. The result is compared with those in open literature, and reveals that the Zero-th step of the variational iteration method can be utilized. The convenience...
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