Jaume Llibre, Clàudìa Valls
Abstract
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In this paper we study the integrability of the Muthuswamy–Chua system x'=y,y'=-x3+y2-yz22,z'=y-αz-yz. For α = 0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals.
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In this paper we study the integrability of the Muthuswamy–Chua system x'=y,y'=-x3+y2-yz22,z'=y-αz-yz. For α = 0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals.
Key concepts: Darboux integral, Mathematics, Type (biology), Pure mathematics, Algebra over a field, Mathematical physics, Mathematical analysis, Geometry