𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uniqueness of the Limit Cycle for Gause-Type Predator–Prey Systems

✍ Scribed by Tzy-Wei Hwang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
128 KB
Volume
238
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Uniqueness of Algebraic Limit Cycles for
Uniqueness of Algebraic Limit Cycles for Quadratic Systems
✍ Javier Chavarriga; Hector Giacomini; Jaume Llibre 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 102 KB

We know five different families of algebraic limit cycles in quadratic systems, one of degree 2 and four of degree 4. Moreover, if there are other families of algebraic limit cycles for quadratic systems, then their degrees must be larger than 4. It is known that if a quadratic system has an algebra

A Note on “Uniqueness of Limit Cycles in
A Note on “Uniqueness of Limit Cycles in a Liénard-Type System”
✍ 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

Zero Relaxation Limit for Piecewise Smoo
Zero Relaxation Limit for Piecewise Smooth Solutions to a Rate-Type Viscoelastic System in the Presence of Shocks
✍ Hailiang Li; Ronghua Pan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 171 KB

We study a rate-type viscoelastic system proposed in I. Suliciu Int. J. Engng. Ž . . Sci. 28 1990 , 827᎐841 , which is a 3 = 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system converges to the well-known p-system formally. In the case that the solutions of the p-s