The hypothesis in Pesin theory
Charles C. Pugh (1984)
Publications Mathématiques de l'IHÉS
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Charles C. Pugh (1984)
Publications Mathématiques de l'IHÉS
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Giancarlo Cantarelli, Corrado Risito (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In the present paper we provide an interesting example of a non-degenerate precession possessing two distinct pairs , of axes of precession and figure. Thus the problem arises of the existence of classes of precessions possessing a unique axis of precession and a unique axis of figure. In the fourth section we show that the class of non-degenerate regular precessions enjoys this property.
Ivan Kulich (1985)
Mathematica Slovaca
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Zhang, Yuqin, Ding, Ren (2008)
The Electronic Journal of Combinatorics [electronic only]
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Witold Mozgawa (2008)
Rendiconti del Seminario Matematico della Università di Padova
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W. Cieślak, A. Miernowski, W. Mozgawa (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Aaron Melman (2013)
The Teaching of Mathematics
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Javier Chavarriga, Jaume Giné (1996)
Publicacions Matemàtiques
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In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.