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- W1990159385 abstract "We call Poincaré time the time associated to the Poincaré (or first return) map of a vector field. In this paper we prove the non-accumulation of isolated critical points of the Poincaré time $T$ on hyperbolic polycycles of polynomial vector fields. The result is obtained by proving that the Poincaré time of a hyperbolic polycycle either has an unbounded principal part or is an almost regular function. The result relies heavily on the proof of Ilâyashenkoâs theorem on non-accumulation of limit cycles on hyperbolic polycycles." @default.
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- W1990159385 date "2007-06-22" @default.
- W1990159385 modified "2023-10-10" @default.
- W1990159385 title "Non-accumulation of critical points of the Poincaré time on hyperbolic polycycles" @default.
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- W1990159385 doi "https://doi.org/10.1090/s0002-9939-07-09026-0" @default.
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