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ESTIMATION OF THE DOMAIN OF LOCATION OF A LIMIT CYCLE OF THE NONSYMMETRIC LIÉNARD SYSTEM
Author(s) : Alexander O. Ignatyev
Pages : [115] - [143]
Received : December 8, 2022
Communicated by : Professor Francisco Bulnes
Pages : [115] - [143]
Received : December 8, 2022
Communicated by : Professor Francisco Bulnes
Abstract
The Liénard system is considered. Under some assumptions on functions
and
we estimate the domain of location of the unique stable limit cycle of the Liénard system. This estimation has the form
where
and
are respectively, the positive and the negative roots of the equation
We use the above result for evaluating the amplitude of the limit cycle of the van der Pol equation
Keywords
nonsymmetric Liénard system, location of a limit cycle.