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- W4220793463 abstract "Denote by r(n) the maximal number of Reeb components that a nonsingular polynomial differential system of degree n on the real plane can have. It is known that r(0)=r(1)=0, r(2)=r(3)=2 and n−1≤r(n)≤n for n≥4. In this paper we prove that r(n)=n for all n≥4. This completely solves, for nonsingular systems, a problem posed by Chicone and Tian in 1982. We prove our result by explicitly constructing nonsingular Hamiltonian systems of degree n presenting n Reeb components for any n≥4." @default.
- W4220793463 created "2022-04-03" @default.
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- W4220793463 date "2022-05-01" @default.
- W4220793463 modified "2023-09-29" @default.
- W4220793463 title "On Reeb components of nonsingular polynomial differential systems on the real plane" @default.
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- W4220793463 doi "https://doi.org/10.1016/j.jde.2022.03.002" @default.
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