We give the exact number of characteristic lines for homogeneous vector fields, when the number is finite. This in particular answers an open question posed by Llibre and Pilyugina (J Dynam Diff Equ 21:487–499, 2009).
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Consejo Nacl Invest Cient & Tecn, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina
Univ Nacl La Plata, CC 67, RA-1900 La Plata, Buenos Aires, ArgentinaConsejo Nacl Invest Cient & Tecn, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina
D'Ascanio, D.
Gilkey, P. B.
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Univ Oregon, Dept Math, Eugene, OR 97403 USAConsejo Nacl Invest Cient & Tecn, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina
Gilkey, P. B.
Pisani, P.
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Consejo Nacl Invest Cient & Tecn, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina
Univ Nacl La Plata, CC 67, RA-1900 La Plata, Buenos Aires, ArgentinaConsejo Nacl Invest Cient & Tecn, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina
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Univ Autonoma Barcelona, Dept Matemat, Fac Ciencies, Barcelona 08193, SpainUniv Autonoma Barcelona, Dept Matemat, Fac Ciencies, Barcelona 08193, Spain
Cima, Anna
Gasull, Armengol
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Univ Autonoma Barcelona, Dept Matemat, Fac Ciencies, Barcelona 08193, Spain
Ctr Recerca Matemat, Edifici Cc,Campus Bellaterra, Barcelona 08193, SpainUniv Autonoma Barcelona, Dept Matemat, Fac Ciencies, Barcelona 08193, Spain
Gasull, Armengol
Manosa, Victor
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Univ Politecn Cataluna, Dept Matemat, Colom 11, Terrassa 08222, SpainUniv Autonoma Barcelona, Dept Matemat, Fac Ciencies, Barcelona 08193, Spain