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We study the motion of a ring string in the background of the Bardeen-AdSblack hole surrounded by the quintessence dark energy. The effects of themagnetic monopole charge, the quintessence state parameter, and thequintessence normalization parameter on the dynamical behavior of the ringstring are respectively analyzed. Our numerical results show that the chaoticbehavior of string generally becomes stronger with the increase of thequintessence normalization parameter. In particular, the conditions for theexistence of chaos are distinctly diverse for two different quintessence stateparameters. Furthermore, it is found that the magnetic charge does notsignificantly affect the chaotic behavior of the string in a specific range.

Chaotic dynamics of string around the Bardeen-AdS black holes surrounded by quintessence dark energy