Hamiltonian approach to nonlinear oscillators |
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| Authors: | Ji-Huan He |
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| Affiliation: | Modern Textile Institute, Donghua University, Shanghai 200051, China |
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| Abstract: | A Hamiltonian approach to nonlinear oscillators is suggested. A conservative oscillator always admits a Hamiltonian invariant, H, which keeps unchanged during oscillation. This property is used to obtain approximate frequency-amplitude relationship of a nonlinear oscillator with acceptable accuracy. Two illustrating examples are given to elucidate the solution procedure. |
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| Keywords: | Nonlinear oscillator Variational principle Hamiltonian Amplitude-frequency relationship |
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