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nlin.SI2007★ 23 cited
Stability of periodic travelling shallow-water waves determined by Newton's equation
Sevdzhan Hakkaev, Iliya D. Iliev, Kiril Kirchev
We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove stability, we use the abstract…
math.DS2007
Perturbations of quadratic centers of genus one
Sebastien Gautier, Lubomir Gavrilov, Iliya D. Iliev
We propose a program for finding the cyclicity of period annuli of quadratic systems with centers of genus one. As a first step, we classify all such systems and determine the esse…