Border-Collision bifurcations in One-Dimensional Discontinuous Maps
نویسندگان
چکیده
We present a classification of border-collision bifurcations in one-dimensional discontinuous maps depending on the parameters of the piecewise linear approximation in the neighborhood of the point of discontinuity. For each range of parameter values we derive the condition of existence and stability of various periodic orbits and of chaos. This knowledge will help in understanding the bifurcation phenomena in a large number of practical systems which can be modeled by discontinuous maps in discrete domain.
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عنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 13 شماره
صفحات -
تاریخ انتشار 2003