an:06033629
Zbl 1237.70036
He, Ji-Huan
Hamiltonian approach to nonlinear oscillators
EN
Phys. Lett., A 374, No. 23, 2312-2314 (2010).
00299476
2010
j
70H05 70K75 70K30 49S05
nonlinear oscillator; variational principle; Hamiltonian; amplitude-frequency relationship
Summary: 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.