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Exact number of limit cycles for a family of rigid systems
by
Armengol Gasull
Dep. de Matemàtiques, Universitat Auṭnoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
Coauthors: Joan Torregrosa
For a given family of planar differential equations it is a very difficult problem to get an upper bound for its number of limit cycles. Even when this upper bound is one it is not always an easy problem to distinguish between the case of zero and one limit cycle. This talk mainly deals with this second problem, also called sometimes Coppel's problem, for a family of systems with homogeneous nonlinear part. As we will see, the condition that allows to separate the existence and the non existence limit cycles can be described but it is very intricate.
Date received: June 10, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calo-87.