On the normal systems of differential equations
Breves Filho, J.A. (1974)
Portugaliae mathematica
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Breves Filho, J.A. (1974)
Portugaliae mathematica
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R. Ramírez, N. Sadovskaia (1996)
Collectanea Mathematica
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The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.
Bartomeu Coll, Armengol Gasull, Jaume Llibre (1988)
Publicacions Matemàtiques
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We study phase portraits of quadratic systems with a unique finite singularity. We prove that there are 111 different phase portraits without limit cycles and that 13 of them are realizable with exactly one limit cycle. In order to finish completely our study two problems remain open: the realization of one topologically possible phase portrait, and to determine the exact number of limit cycles for a subclass of these systems.
Kurz, Sascha (2009)
Serdica Journal of Computing
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We consider point sets in (Z^2,n) where no three points are on a line – also called caps or arcs. For the determination of caps with maximum cardinality and complete caps with minimum cardinality we provide integer linear programming formulations and identify some values for small n.
Enrico Bombieri (1971-1972)
Séminaire Bourbaki
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M. Lambrou, W. Longstaff (1997)
Studia Mathematica
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H. Kasana, P. Agrawal (1999)
Colloquium Mathematicae
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Hari das Bagchi, Bhola Nath Mukherji (1952)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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THOMAS L. SAATY (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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