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14 p, 348.8 KB Parallelization of the Lyapunov constants and cyclicity for centers of planar polynomial vector fields / Liang, Haihua (Guangdong Polytechnic Normal University. Department of Computer Science) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Christopher in 2006 proved that under some assumptions the linear parts of the Lyapunov constants with respect to the parameters give the cyclicity of an elementary center. This paper is devote to establish a new approach, namely parallelization, to compute the linear parts of the Lyapunov constants. [...]
2015 - 10.1016/j.jde.2015.07.027
Journal of differential equations, Vol. 259 (2015) , p. 6494-6509  

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