✦ LIBER ✦

Limit cycles in a quadratic discrete iteration

✍ Scribed by P.-M. Binder

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 523 KB
Volume: 57
Category: Article
ISSN: 0167-2789
DOI: 10.1016/0167-2789(92)90086-3

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Limit cycles of quadratic systems

✍ Valery A. Gaiko 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 266 KB

In this paper, the global qualitative analysis of planar quadratic dynamical systems is established and a new geometric approach to solving Hilbert's Sixteenth Problem in this special case of polynomial systems is suggested. Using geometric properties of four field rotation parameters of a new canon

Ergodicity of limit cycles in quadratic

Ergodicity of limit cycles in quadratic systems

✍ Zhang Xiang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 244 KB

Separatrix Cycles and Multiple Limit Cyc

Separatrix Cycles and Multiple Limit Cycles in a Class of Quadratic Systems

✍ A. Zegeling 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 994 KB

In this paper a class of quadratic systems is studied. By quadratic systems we mean autonomous quadratic vector fields in the plane. The class under consideration is class \(\mathrm{II}_{n=0}\) in the Chinese classification of quadratic systems. Bifurcation sets \(\delta=\delta^{*}(l, m)(m>2, l>0)\)

Bifurcation of Limit Cycles from Quadrat

Bifurcation of Limit Cycles from Quadratic Centers

✍ D.S. Shafer; A. Zegeling 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 837 KB

Bifurcation of limit cycles from the class \(Q_{3}^{N H}\) of quadratic systems possessing centers is investigated. Bifurcation diagrams for various systems in this class are constructed, and are used to locate systems possessing a period annulus whose closure has cyclicity three. "1995 Acidenic Pre

A criterion for the existence of four li

A criterion for the existence of four limit cycles in quadratic systems

✍ G.A. Leonov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 311 KB

A method for the asymptotic integration of the trajectories is proposed for the Liénard equation. The results obtained by this method are used to prove the existence of two "large" limit cycles in quadratic systems with a weak focus. The application of standard procedures of small perturbations of t

Non-existence of limit cycles for a quad

Non-existence of limit cycles for a quadratic system in class II

✍ J.W. Reyn 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 112 KB