Abstract
The exact solutions and classical energy spectra for the one-spring and two-spring models of the Hirota anharmonic oscillator have been obtained. The dependences of nonlinear oscillations frequencies on energy have been found. It was shown that the equation of the two-spring model of the Hirota nonlinear oscillator can be formally derived from the equation of Duffing oscillator. The model of the Hirota anharmonic lattice is modified by considering the dissipation and external homogeneous alternating force.
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