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On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities

✍ Scribed by Llibre, Jaume; Yu, Jiang; Zhang, Xiang


Book ID
125485114
Publisher
World Scientific Publishing Company
Year
2014
Tongue
English
Weight
312 KB
Volume
24
Category
Article
ISSN
0218-1274

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On the Limit Cycles of the Polynomial Di
✍ Llibre, Jaume; Yu, Jiang; Zhang, Xiang πŸ“‚ Article πŸ“… 2014 πŸ› World Scientific Publishing Company 🌐 English βš– 312 KB

We consider the class of polynomial differential equations αΊ‹ = Ξ»x + P~n~(x, y), ẏ = ΞΌy + Q~n~(x, y) in ℝ^2^ where P~n~(x, y) and Q~n~(x, y) are homogeneous polynomials of degree n > 1 and Ξ» β‰  ΞΌ, i.e. the class of polynomial differential systems with a linear node with different eigenvalues and homog