On the accumulation of limit cycles

Perko, L. M.

doi:10.1090/S0002-9939-1987-0875391-1

On the accumulation of limit cycles
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by L. M. Perko

Proc. Amer. Math. Soc. 99 (1987), 515-526

DOI: https://doi.org/10.1090/S0002-9939-1987-0875391-1

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Abstract:

Limit cycles of a planar analytic system can only accumulate at a critical point or on a graphic; the critical points are isolated; and the inner and outer boundaries of any continuous band of cycles consist of either a critical point or graphic.

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