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- W2063200210 abstract "Abstract We study the bifurcation of limit cycles from the periodic orbits of a linear differential system in R n perturbed inside a class of piecewise linear differential systems, which appears in a natural way in control theory. Our main result shows that at most one limit cycle can bifurcate up to first-order expansion of the displacement function with respect to the small parameter. This upper bound is reached. For proving this result we use the averaging theory in a form where the differentiability of the system is not needed." @default.
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- W2063200210 date "2010-02-01" @default.
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- W2063200210 title "Bifurcation of limit cycles from a two-dimensional center inside" @default.
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- W2063200210 doi "https://doi.org/10.1016/j.na.2009.08.022" @default.
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