Invariants when the transformation is infinitesimal, and their relevance in bio-mathematics and in the theory of terrestrial magnetism
Oliver E. Glenn (1954)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Oliver E. Glenn (1954)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Shamrovskii, A.D., Andrianov, I.V., Awrejcewicz, J. (2004)
Mathematical Problems in Engineering
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C. T. C. Wall (1998)
Rendiconti del Seminario Matematico della Università di Padova
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W.-L.-G. Williams (1925)
Journal de Mathématiques Pures et Appliquées
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Oliver E. Glenn (1938)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Halmschlager, Andrea, Szenthe, László, Tóth, János (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Dhooghe, Paul F. (2003)
International Journal of Mathematics and Mathematical Sciences
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Colin Christopher, Christiane Rousseau (2001)
Publicacions Matemàtiques
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In this paper we consider complex differential systems in the plane, which are linearizable in the neighborhood of a nondegenerate centre. We find necessary and sufficient conditions for linearizability for the class of complex quadratic systems and for the class of complex cubic systems symmetric with respect to a centre. The sufficiency of these conditions is shown by exhibiting explicitly a linearizing change of coordinates, either of Darboux type or a generalization of it. ...