THE NUMBER OF LIMIT CYCLES FROM A QUARTIC CENTER BY THE HIGHER-ORDER MELNIKOV FUNCTIONS

Liu, X

Liu, X (corresponding author), Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Peoples R China.; Liu, X (corresponding author), Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021; 11 (3): 1405

Abstract

In this paper, by computing the higher-order Melnikov functions we study the number of limit cycles of the system <(x)over dot> = -y(1+x)(3)+eps......

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