Publicación: ALGEBRAIC AND TOPOLOGICAL CLASSIFICATION OF HOMOGENEOUS QUARTIC VECTOR FIELDS IN THE PLANE
Fecha
2021
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ANNALI DI MATEMATICA PURA ED APPLICATA
Resumen
WE PROVIDE CANONICAL FORMS FOR THE HOMOGENEOUS POLYNOMIALS OF DEGREE FIVE. THEN WE CHARACTERIZE ALL THE PHASE PORTRAITS IN THE POINCARÉ DISK FOR ALL QUARTIC HOMOGENEOUS POLYNOMIAL DIFFERENTIAL SYSTEMS. MORE PRECISELY, THERE ARE EXACTLY 23 DIFFERENT TOPOLOGICAL PHASE PORTRAITS FOR THE QUARTIC HOMOGENEOUS POLYNOMIAL DIFFERENTIAL SYSTEMS.
