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- W1970280305 abstract "Abstract We construct a canonical cubic dynamical system of Kukles type and carry out the global qualitative analysis of its special case corresponding to a generalized Lienard equation. In particular, we prove that the foci of such a Lienard system can be at most of second order, and that this particular system can have at least three limit cycles in the whole phase plane. Moreover, unlike all previous works on the Kukles-type systems, we study global bifurcations of limit and separatrix cycles, using arbitrary (including as large as possible) field-rotation parameters of our canonical system. As a result, we have obtained a classification of all possible types of separatrix cycles for this generalized Lienard system and also all possible distributions of its limit cycles." @default.
- W1970280305 created "2016-06-24" @default.
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- W1970280305 date "2004-10-01" @default.
- W1970280305 modified "2023-10-01" @default.
- W1970280305 title "Global bifurcations of limit and separatrix cycles in a generalized Liénard system" @default.
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- W1970280305 doi "https://doi.org/10.1016/j.na.2004.07.010" @default.
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