Limit cycles and Lie symmetries
نویسندگان
چکیده
منابع مشابه
Limit cycles and Lie symmetries ∗
Given a planar vector field U which generates the Lie symmetry of some other vector field X , we prove a new criterion to control the stability of the periodic orbits of U . The problem is linked to a classical problem proposed by A.T. Winfree in the seventies about the existence of isochrons of limit cycles (the question suggested by the study of biological clocks), already answered by Guckenh...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2007
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2006.03.015