Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity (Q762972)
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scientific article; zbMATH DE number 6013213
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| English | Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity |
scientific article; zbMATH DE number 6013213 |
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Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity (English)
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8 March 2012
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Summary: We apply a new approach to obtain the natural frequency of a nonlinear oscillator with discontinuity. He's Hamiltonian approach is modified for a nonlinear oscillator with discontinuity for which the elastic force term is proportional to \(\text{sgn}(u)\). We employ this method for higher-order approximate solution of the nonlinear oscillator. This property is used to obtain an approximate frequency-amplitude relationship of the nonlinear oscillator with high accuracy. Many numerical results are given to prove the efficiency of the suggested technique.
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He's Hamiltonian approach
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