We study a planar radially symmetric system with an indefinite singularity. Some efficient conditions guaranteeing the existence of periodic solutions with minimal period mT are established. These periodic solutions rotate exactly once around the singularity in the period time mT. Our results are applicable to the case of a strong singularity as well as the case of a weak singularity.
机构:
Acad Romana, Inst Math Simion Stoilow, RO-010702 Bucharest, RomaniaAcad Romana, Inst Math Simion Stoilow, RO-010702 Bucharest, Romania
Bereanu, Cristian
Gheorghe, Dana
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Acad Romana, Inst Math Simion Stoilow, RO-010702 Bucharest, Romania
Mil Tech Acad, Bucharest 050141, RomaniaAcad Romana, Inst Math Simion Stoilow, RO-010702 Bucharest, Romania
Gheorghe, Dana
Zamora, Manuel
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Univ Granada, Dept Matemat Aplicada, E-18071 Granada, SpainAcad Romana, Inst Math Simion Stoilow, RO-010702 Bucharest, Romania
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Univ Oran1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Algeria
Oran Grad Sch Econ, Bir El Djir, AlgeriaUniv Oran1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Algeria
机构:
Univ Santiago de Compostela, Fac Matemat, Dept Estadist Anal Matemat & Optimizac, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Matemat, Dept Estadist Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain
Nieto, Juan J.
Uzal, Jose M.
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Univ Santiago de Compostela, Fac Matemat, Dept Estadist Anal Matemat & Optimizac, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Matemat, Dept Estadist Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain