Periodic solutions of x" + f(μ, x) = 0
G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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F. H. Szafraniec (1969)
Annales Polonici Mathematici
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S. Sędziwy (1965)
Annales Polonici Mathematici
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G. J. Butler (1974)
Annales Polonici Mathematici
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Xingyuan, Wang, Yijie, He, Yuanyuan, Sun (2010)
Discrete Dynamics in Nature and Society
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Srzednicki, Roman (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Anna A. Kwiecińska (1996)
Annales Polonici Mathematici
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A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.
J. Ligęza (1977)
Annales Polonici Mathematici
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Marco Degiovanni, Fabio Giannoni, Antonio Marino (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)
Applications of Mathematics
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In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...
Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
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Ráb, Miloš
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