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- W4310346317 abstract "In this paper, we study the bifurcation problem of limit cycles near a general double homoclinic loop. We establish a general theory to obtain a lower bound of the maximal number of limit cycles near the double homoclinic loop. As an application, we prove that a near-Hamiltonian system of the form x˙=y(y2−1)+ε∑i=0naix2i+1,y˙=−x has at least [52n] limit cycles for 1≤n≤56. This number is maximal that we can find so far for the system." @default.
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- W4310346317 date "2023-02-01" @default.
- W4310346317 modified "2023-10-15" @default.
- W4310346317 title "General study on limit cycle bifurcation near a double homoclinic loop" @default.
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- W4310346317 doi "https://doi.org/10.1016/j.jde.2022.11.031" @default.
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