On Behavior of the Periodic Orbits of a Hamiltonian System of Bifurcation of Limit Cycles

Amor Menaceur, Mohamed Abdalla, Sahar Ahmed Idris and Ibrahim Mekawy

Mathematical Problems in Engineering, 2021, vol. 2021, 1-6

Abstract:

In light of the previous recent studies by Jaume Llibre et al. that dealt with the finite cycles of generalized differential Kukles polynomial systems using the first- and second-order mean theorem such as (Nonlinear Anal., 74, 1261–1271, 2011) and (J. Dyn. Control Syst., vol. 21, 189–192, 2015), in this work, we provide upper bounds for the maximum number of limit cycles bifurcating from the periodic orbits of Hamiltonian system using the averaging theory of first order.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1952706

DOI: 10.1155/2021/1952706

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