Criteria for the nonexistence of periodic orbits in planar differential systems

Giné Jaume; Llibre Jaume

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203

Ultima descărcare din IBN:
2024-04-14 03:49

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similare conform CZU

517.9 (245)

Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)

SM ISO690:2012

GINÉ, Jaume, LLIBRE, Jaume. Criteria for the nonexistence of periodic orbits in planar differential systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023, nr. 1(101), pp. 3-7. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2023.i1.p3

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 1(101) / 2023 / ISSN 1024-7696 /ISSNe 2587-4322

Criteria for the nonexistence of periodic orbits in planar differential systems

DOI:https://doi.org/10.56415/basm.y2023.i1.p3

CZU: 517.9

MSC 2010: 34C05, 34D30.

Pag. 3-7

Giné Jaume¹, Llibre Jaume²

¹ Universitat de Lleida,
² Universitat Autònoma de Barcelona

Disponibil în IBN: 24 august 2023

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In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.

Cuvinte-cheie
periodic orbits, Bendixson, Dulac, Li´enard equation, angular velocity, planar differential systems

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