![Table 3 [5].](https://www.researchgate.net/publication/325341284/figure/tbl1/AS:652973562687501@1532692437788/5_Q320.jpg)
May 2018
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51 Reads
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9 Citations
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Publications (2)
December 2017
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7 Reads
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15 Citations
A family of dynamic systems acting on a real plane x , y has been considered, which polynomial right parts are reciprocal forms of x and y , one is a cubic, and another is a square form. A problem to reveal all topologically different phase portraits possible for these systems in a Poincare circle with coefficient criteria of every portrait’s realization has been solved. A Poincare method of serial mappings – central and orthogonal – has been applied. Qualitative and quantitative results for phase portraits have been given. All stages of a solution process are described.
Citations (2)
... A detailed analysis of possible topological types of the point O(0; 0) was performed in [8,9,13,16,17]. It was proved that the systems (1) do not have limit cycles on the plane R 2 ...
- Citing Chapter
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May 2018
... The reader can find detailed results for this and other subfamilies, rigorous proofs, and the phase portraits themselves in the monograph [8] and the articles [3][4][5][6][7][9][10][11][12][13][14][15][16][17][18][19]. ...
- Citing Article
- Full-text available
December 2017