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
Quadratic systems with maximum number of limit cycles
β Scribed by L. A. Cherkas
- Book ID
- 110158629
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 395 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0012-2661
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π SIMILAR VOLUMES
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 b s t r a c t Like for smooth quadratic systems, it is important to determine the maximum order of a fine focus and the cyclicity of discontinuous quadratic systems. Previously, examples of discontinuous quadratic systems with five limit cycles bifurcated from a fine focus of order 5 have been con