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Periodic solutions of second-order nonlinear difference equations containing a small parameter—II. Equivalent linearization

✍ Scribed by Ronald E. Mickens

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
325 KB
Volume
320
Category
Article
ISSN
0016-0032

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✦ Synopsis

We extend to a particular class of nonlinear difference equations the classical method of equivalent linearization. We show that the method can be used to obtain an approximation to the periodic solutions of these equations. In particular, we can determine the parameters of the limit cycles and limit points. Three examples illustrating the method are presented.

📜 SIMILAR VOLUMES

Periodic solutions of second-order nonli
Periodic solutions of second-order nonlinear difference equations containing a small parameter
✍ Ronald E. Mickens 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 314 KB

We extend to difference equations the classical method of harmonic balance. We show that the method can be used to obtain an approximation to the periodic solutions of a special class of second-order nonlinear di$erence equations containing a small parameter. Two examples illustrating the method are

Periodic solutions of second-order nonli
Periodic solutions of second-order nonlinear difference equations containing a small parameter—IV. Multi-discrete time method
✍ Ronald E. Mickens 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 428 KB

We show that a discrete multi-time method can be constructed to obtain approximations to the periodic solutions of a special class of second-order nonlinear difference equations containing a small parameter. Three examples illustrating the method arepresented.