Cesar Leopoldo Camacho Manco, Peruvian-born Brazilian mathematician (Lima 15 April 1943 – Internationally respected as one of great names in the field of complex dynamical systems Invited Lecturer, International Congress of Mathematicians (1990) ACHIEVEMENTS Established the essential analytic and geometric properties of solutions of complex differential equations Proposed a generalization of theory of real dynamical systems in his doctoral thesis Established a generalization of Poincaré-Bendixson theorem (1973) Defined the concept of hyperbolic fixed point of an action (1973) Demonstrated that local structural stability is not a generic property for fields of lineal complex vectors and established a complete topological classification of these fields (1978) With A. Lins Neto introduced the notion of regular homogenous forms (1982) With A. Lins Neto & P. Sad introduced a class of foliations that share the reduction of singularities with their curve of separatrices or generalized curve-type foliations (1984) With B. A. Scárdua determined a model differential equation which generalizes the Riccati equation (1999) With L.H. Figueiredo first introduced computational methods for studying asymptotic behavior of solutions (2001) With B. Scárdua characterized projective foliations that permit first liouvillian integrals With B. Scárdua & H. Mosavati enunciated a theorem showing the moduli of Stein surface singularities (2008) With B. Scárdua presented a Darboux-type theorem for germs of holomorphic one-dimensional foliations (2014) EPONYMY Camacho-Sad separatrix theorem Camacho-Sad index theorem (1982) Camacho-Sad índices Camacho-Sad localization Camacho-Chaperon hyperbolic condition (1971) Camacho theorem (1978) Camacho-Movasati-Sad index theorem Camacho-Lehmann theorem for holomorphic foliations
|
Alphabetical List > C >