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Investigation of the properties of the period for the nonlinear oscillator

✍ Scribed by Ronald E. Mickens


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
140 KB
Volume
292
Category
Article
ISSN
0022-460X

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✍ A. Beléndez; T. Beléndez; A. Hernández; S. Gallego; M. Ortuño; C. Neipp 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 150 KB

Two Lindstedt-Poinare´perturbation-based methods are used to solve the nonlinear differential equation of a nonlinear oscillator having the square of the angular frequency quadratic dependence on the velocity. Mickens published two interesting papers [J. Beatty, R.E. Mickens, A qualitative study of

Asymptotic representations of the period
✍ A. Beléndez; A. Hernández; T. Beléndez; C. Neipp; A. Márquez 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 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