Isochronicity conditions for some planar polynomial systems

2009/07/09 by Islam Boussaada, Boussaada, Islam, A. Raouf Chouikha +3
Mathematics · #34C15 #34C25 #34C37 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CA #math.DS #msc:34C15 #msc:34C25 #msc:34C37

paper · pdf · doi:10.48550/arxiv.0907.1493

31 pages

arxiv created 2009/09/10 · arxiv updated 2009/12/01

Abstract

We study the isochronicity of centers at O∈ ℝ² for systems x=-y+A(x,y), y=x+B(x,y), where A, B∈ ℝ[x,y], which can be reduced to the Lienard type equation. Using the so-called C-algorithm we have found 27 new multiparameter isochronous centers.

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