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- W2000640927 abstract "We present the analytical investigations on a logistic map with a discontinuity at the centre. An explanation for the bifurcation phenomenon in discontinuous systems is presented. We establish that whenever the elements of ann-cycle (n > 1) approach the discontinuities of thenth iterate of the map, a bifurcation other than the usual period-doubling one takes place. The periods of the cycles decrease in an arithmetic progression, as the control parameter is varied. The system also shows the presence of multiple attractors. Our results are verified by numerical experiments as well." @default.
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- W2000640927 date "1998-09-01" @default.
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- W2000640927 title "Existence of multiple attractors and the nature of bifurcations in a discontinuous logistic map" @default.
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- W2000640927 doi "https://doi.org/10.1007/bf02828931" @default.
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