Stability and expansivity of tent map
Copyright policy )Stability and expansivity of tent map
We discuss the stability and the expansivity of the tent map f : [ 0 , 1 ] → [ 0 , 1 ] f:[0,1]\to [0,1] defined by f ( x ) = 2 min { x , 1 − x } f(x)=2\min \{x,1-x\} for 0 ≤ x ≤ 1 0\leq x\leq 1 . Indeed, we show that f f is neither topologically stable nor orbit shift topologically stable nor countably-expansive but is cw-topologically stable , orbit shift cw-expansive , and orbit shift α \alpha -persistent .
Dynamical systems involving maps of the interval, Stability of topological dynamical systems, orbit shift stability, tent map, Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems, Stability theory for smooth dynamical systems, topological stability
Dynamical systems involving maps of the interval, Stability of topological dynamical systems, orbit shift stability, tent map, Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems, Stability theory for smooth dynamical systems, topological stability
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).12 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!