Iteration of piecewise linear maps on an interval
نویسندگان
چکیده
منابع مشابه
Dynamics of piecewise linear interval maps with hysteresis
We study a special case of multistate maps, piecewise linear interval maps with hysteresis. The main object of study is the global attractor. We ® nd the conditions for it to be lower semicontinuous. We also prove that it coincides with the non-wander ing set and prove several facts about omega-limit sets of the discontinuity points of the map. 1 General introduction The present paper deals wit...
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We shall consider slightly more general problems. Namely, we shall investigate the existence of continuous: piecewise monotone, piecewise strictly monotone, and piecewise linear n-th roots of interval maps which have a continuous n-th root. Here by an n-th root of f we mean a map g such that f = g (g is the n-th iterate of g). A continuous map f : I → J , where I, J are closed intervals, is pie...
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چکیده ندارد.
15 صفحه اولDynamics of Piecewise Linear Discontinuous Maps
In this paper, the dynamics of maps representing classes of controlled sampled systems with backlash are examined. First, a bilinear one-dimensional map is considered, and the analysis shows that, depending on the value of the control parameter, all orbits originating in an attractive set are either periodic or dense on the attractor. Moreover, the dense orbits have sensitive dependence on init...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1981
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700004950