Araştırma Makalesi

Yıl 2018,
Sayı: 2, 439 - 446, 19.08.2018
### Öz

### Anahtar Kelimeler

### Kaynakça

A broad family of differential dynamic systems is considered on

a real plane of their phase variables x, y. The main common feature of systems

under consideration is the follows: every particular system includes two

equations with polynomial right parts of the third order in one equation and of

the second order in another one. These polynomials are mutually reciprocal in

the following understanding: their decomposition into forms of lower order does

not contain common multipliers. The whole family of such dynamic systems has

been split into subfamilies according to numbers of different multipliers in

the abovementioned decomposition and depending on an order of sequence of

different roots of polynomials. Every subfamily has been studied in a Poincare

circle using especially developed investigation methods. As a result all

possible for the dynamic systems belonging to this family phase portraits have

been revealed and described. There appeared to exist more than 200 different

topological types of phase portraits in a Poincare circle. The obtained results

have a scientific interest as well as a methodical and educational one.

Dynamic systems Differential equations Poincare circle Phase portraits

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Yıl 2018,
Sayı: 2, 439 - 446, 19.08.2018
### Öz

### Kaynakça

Toplam 1 adet kaynakça vardır.

Birincil Dil | İngilizce |
---|---|

Konular | Mühendislik |

Bölüm | Makaleler |

Yazarlar | |

Yayımlanma Tarihi | 19 Ağustos 2018 |

Yayımlandığı Sayı | Yıl 2018Sayı: 2 |