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Generalized cubic Liénard equations

✍ Scribed by S. Lynch

Book ID
104350156
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
283 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

This article presents a new method for determining the Liapunov quantities of Li4nard systems with either cubic damping or restoring terms. The first eleven quantities have been computed on a PC, whereas the algorithm used previously requires the use of high powered computers with lots of memory. The reduction part of the algorithm is simplified by expressing the Liapunov quantities in a special form. The maximum number of small-amplitude limit cycles which may be bifurcated from the origin is given for certain systems. (~

📜 SIMILAR VOLUMES

Generalized quadratic Liénard equations
Generalized quadratic Liénard equations
✍ S. Lynch 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 247 KB

In this article we give explicit formulae for the Liapunov quantities of generalized Li@nard systems with either quadratic damping or restoring coefficients. These quantities provide necessary conditions in order for the origin to be a centre. Recent results are also presented for these systems.