On the finiteness of attractors for piecewise $C^{2}$ maps of the interval
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.115
Abstract: We consider piecewise $C^{2}$ non-flat maps of the interval and show that, for Lebesgue almost every point, its omega-limit set is either a periodic orbit, a cycle of intervals or the closure of the orbits… read more here.
Keywords: piecewise maps; finiteness attractors; attractors piecewise; maps interval ... See more keywords
The attractor of piecewise expanding maps of the interval
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DOI: 10.1142/s0219493720500094
Abstract: We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e. the number of ergodic attractors and their corresponding mixing components do not… read more here.
Keywords: expanding maps; maps interval; piecewise expanding; attractor piecewise ... See more keywords