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• W2553539999 abstract "In this paper we consider two classes of one dimensional piecewise smooth continuous maps that have been derived as normal forms for grazing bifurcations of piecewise smooth dynamical systems. These maps are linear on one side of the phase space and nonlinear on the other side. The case of nonlinear parts with negative coefficients has been studied previously and it is proved that period-adding scenarios are generic in this case. In contrast to this result, in our analytical and numerical results, the period-adding scenarios are not observed when the nonlinear parts have positive coefficients. Furthermore, our results suggest that the typical bifurcation scenario is period doubling cascade leading to chaos in this case, which is similar to that of the smooth logistic map." @default.
• W2553539999 created "2016-11-30" @default.
• W2553539999 creator A5079719473 @default.
• W2553539999 date "2017-01-01" @default.
• W2553539999 modified "2023-09-26" @default.
• W2553539999 title "PERIODIC ORBITS IN TWO CLASSES OF PIECEWISE SMOOTH MAPS WITH POSITIVE NONLINEAR PARTS" @default.
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• W2553539999 doi "https://doi.org/10.11948/2017013" @default.
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