Periodic perturbations of non-conservative second order differential equations.
Chouikha, A.Raouf (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Chouikha, A.Raouf (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ilpo Laine, Steven B. Bank (1983)
Journal für die reine und angewandte Mathematik
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E. Bedford, M. Lyubich, Smilie, J. (1993)
Inventiones mathematicae
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Michel Rigo, Wolfgang Steiner (2005)
Journal de Théorie des Nombres de Bordeaux
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For abstract numeration systems built on exponential regular languages (including those coming from substitutions), we show that the set of real numbers having an ultimately periodic representation is if the dominating eigenvalue of the automaton accepting the language is a Pisot number. Moreover, if is neither a Pisot nor a Salem number, then there exist points in which do not have any ultimately periodic representation.
Xingyuan, Wang, Yijie, He, Yuanyuan, Sun (2010)
Discrete Dynamics in Nature and Society
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G. J. Butler (1974)
Annales Polonici Mathematici
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J. Ligęza (1977)
Annales Polonici Mathematici
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Starkov, Konstantin E. (2004)
Mathematical Problems in Engineering
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Alwash, Mohamad A.M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
Borisovich, Andrei, Marzantowicz, Wacław (2006)
Journal of Inequalities and Applications [electronic only]
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