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Asymptotic representations of the period for the nonlinear oscillator

✍ Scribed by A. Beléndez; A. Hernández; T. Beléndez; C. Neipp; A. Márquez

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
163 KB
Volume
299
Category
Article
ISSN
0022-460X

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✦ Synopsis

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 for a wide range of amplitudes is obtained. In addition we show that the product of the amplitude and the period, AT(A), reaches 2p when the amplitude tends to infinity.

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Comments on “investigation of the proper
Comments on “investigation of the properties of the period for the nonlinear oscillator ”
✍ 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