Integrability in elementary functions is demonstrated for some classes of dynamic systems on tangent bundles of two- and three-dimensional spheres. The force fields possess the so-called variable dissipation with a zero mean and generalize those considered earlier.
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China Univ Min & Technol, Sch Low Carbon & Power Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Low Carbon & Power Engn, Xuzhou 221116, Jiangsu, Peoples R China
Hu, Yingying
Romano, F.
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Univ Lille, Arts & Metiers Inst Technol, CNRS,ONERA,Ctr Lille, UMR 9014,LMFL Lab Mecan Fluides Lille Kampe Feriet, F-59000 Lille, FranceChina Univ Min & Technol, Sch Low Carbon & Power Engn, Xuzhou 221116, Jiangsu, Peoples R China
Romano, F.
Grotberg, James B.
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Univ Michigan, Dept Biomed Engn, Ann Arbor, MI 48109 USAChina Univ Min & Technol, Sch Low Carbon & Power Engn, Xuzhou 221116, Jiangsu, Peoples R China