The Poincaré-Bendixson Theorem: from Poincaré to the XXIst century

• Autorzy: Krzysztof Ciesielski
• Języki publikacji: EN

Abstrakty

EN

The Poincaré-Bendixson Theorem and the development of the theory are presented - from the papers of Poincaré and Bendixson to modern results.

Słowa kluczowe

EN

Poincaré-Bendixson Theorem; Limit set; Flow; 2-dimensional system; Periodic trajectory; Critical point; Section

Kategorie tematyczne

• 01A60: 20th century
• 37E35: Flows on surfaces
• 34-03: Historical (must also be assigned at least one classification number from Section 01)
• 34C25: Periodic solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2110-2128

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Krzysztof Ciesielski

• Mathematics Institute, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-364, Kraków, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0110-y