The center conditions for a perturbed cubic center via the fourth-order Melnikov function

The center conditions for a perturbed cubic center via the fourth-order Melnikov function
شرايط مركز براي يك مركز مرتبه سه مختل شده از طريق تابع ملنيكف مرتبه چهارم

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Journal
https://people.iut.ac.ir/en/asheghi/content/1602398