Darboux integrability and invariant algebraic curves for planar polynomial systems

In this paper we study the normal forms of polynomial systems having a set of given generic invariant algebraic curves.

Detalhes bibliográficos
Autores: Christopher, C., Llibre Saló, Jaume, Pantazi, Chara|||0000-0002-4394-404X, Zhang, Xiang
Tipo de documento: artigo
Data de publicação:2004
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/1205
Acesso em linha:https://hdl.handle.net/2117/1205
Access Level:Acceso aberto
Palavra-chave:Differentiable dynamical systems
Differential equations
polynomial systems
invariant algebraic curves
Sistemes dinàmics diferenciables
Equacions diferencials ordinàries
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
Descrição
Resumo:In this paper we study the normal forms of polynomial systems having a set of given generic invariant algebraic curves.