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Liouvillian and analytic integrability in a modified Philips model
Authors:Claudia Valls
Institution:1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China;2. Department of Mathematics, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China;1. Department of Industrial Engineering and Mathematical Sciences, Marche Polytecnic University, Via Brecce Bianche 1, 60131 Ancona, Italy;2. Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia;3. Mathematical Institute of Slovak Academy of Sciences, ?tefánikova 49, 814 73 Bratislava, Slovakia;1. Hasselt University, Martelarenlaan 42, B-3500 Hasselt, Belgium;2. Institut de mathématique de Bourgogne, UMR 5584 du CNRS, Université de Bourgogne, BP 47 870, 21078 Dijon cedex, France;1. Département de Mathématiques, Faculté des Sciences, Université de Sétif, 19000 Sétif, Algeria;2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain;3. Département de Mathématiques, Université de Bordj Bou Arréridj, Bordj Bou Arréridj 34265, El Anasser, Algeria;1. Laboratory “Group analysis of mathematical models in natural and engineering sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia;2. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Natural Sciences, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
Abstract:We characterize the Liouvillian and analytic first integrals for a polynomial modified Phillips model.
Keywords:
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