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517.9 (243) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (241) |
SM ISO690:2012 LLIBRE, Jaume. Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 2(90), pp. 3-12. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | |||||
Numărul 2(90) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | |||||
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CZU: 517.9 | |||||
MSC 2010: 34C05, 34C07, 37G15. | |||||
Pag. 3-12 | |||||
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This paper is a survey on the study of the maximum number of limit cycles of planar continuous and discontinuous piecewise linear differential systems defined in two half–planes separated by a straight line L. We restrict our attention to the crossing limit cycles, i.e. to the limit cycles having exactly two points on the straight line L. We summarize the results known by now and describe the tools for obtaining them. |
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Cuvinte-cheie Discontinuous differential system, continuous differential system, limit cycle, piecewise linear differential system |
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