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Asymptotic approximations of first integrals for a nonlinear oscillator

✍ Scribed by S.B. Waluya; W.T. van Horssen

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
245 KB
Volume
51
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Integrals of the motion for a nonlinear
Integrals of the motion for a nonlinear quantum oscillator
✍ Vladimir I. Man'ko; Fritz Haake πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 377 KB

We construct and discusss explicitly time dependent integrals of the motion of non-autonornous quantum systems. Such integrals may exist even when the classical limit of the dynamics is nonintegrable.

Asymptotic representations of the period
Asymptotic representations of the period for the nonlinear oscillator
✍ A. BelΓ©ndez; A. HernΓ‘ndez; T. BelΓ©ndez; C. Neipp; A. MΓ‘rquez πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 163 KB

The asymptotic behaviours for small and large amplitudes, A, of the period for a nonlinear oscillator, where the square of the angular frequency depends quadratically on the velocity, are obtained. These asymptotic expressions are compared with the exact period, T(A), and quite an acceptable error f