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On the first integrals of Lotka–Volterra systems

✍ Scribed by F. Gonzalez-Gascon; D. Peralta Salas


Book ID
108442585
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
59 KB
Volume
266
Category
Article
ISSN
0375-9601

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Study of Perturbed Lotka–Volterra System
✍ A. Gasull; A. Guillamon; Chengzhi Li; Zhifen Zhang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We consider the Lotka᎐Volterra system as a Hamiltonian one and study a special perturbation of it. For this perturbed system we get results on the number of limit cycles. The main tools used are Abelian integrals and degenerate Hopf bifurcation.