The set of rational cycles for the 3x+1 problem
Jeffrey Lagarias (1990)
Acta Arithmetica
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Jeffrey Lagarias (1990)
Acta Arithmetica
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Naeem Alkoumi, Pedro J. Torres (2011)
Czechoslovak Mathematical Journal
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New results are proved on the maximum number of isolated -periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
Bernhardt, Chris (2003)
International Journal of Mathematics and Mathematical Sciences
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Josef Kaucký (1971)
Matematický časopis
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John L. Simons (2008)
Acta Arithmetica
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Toni, B. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Castrenze Polizzotto (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For elastic-perfectly plastic solids (or structures) subjected to quasi-static cyclic loads, variational methods are presented for the direct eyâluation of the post-transient residual stresses, that is, the residual stresses in the structure at the end of the transient response phase, consequence of the plastic strains therein produced and crucial to predict the subsequent steady structural behaviour. The problem of the evaluation of the number of cycles spanned by the transient response...