𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uniqueness of Limit Cycles in a Liénard-Type System

✍ Scribed by X.C. Huang; P.T. Sun


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
279 KB
Volume
184
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Note on “Uniqueness of Limit Cycles in
✍ Robert E. Kooij; Sun Jianhua 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 255 KB

proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Lienard system Ž . Ž . Ž . dxrdt s h y y F x , dyrdt s yg x . We will give a counterexample to their Ž . theorem. It will be shown that their theorem is valid only if F x is monotone on certain intervals. For this ca

On Global Asymptotic Stability of System
✍ Jitsuro Sugie; Da-Li Chen; Hideaki Matsunaga 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 227 KB

We give new necessary and sufficient conditions under which the zero solution of Ž . Lienard-type systems is globally asymptotically stable. To this end, we examine i ´Ž . whether all trajectories intersect the vertical isocline or not and ii whether all trajectories tend to the origin or not. We al

A New Criterion for Controlling the Numb
✍ Armengol Gasull; Hector Giacomini 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 180 KB

We consider a class of planar differential equations which include the Lie´nard differential equations. By applying the Bendixson-Dulac Criterion for '-connected sets we reduce the study of the number of limit cycles for such equations to the condition that a certain function of just one variable do