Li-Yorke sensitivity

Details Li-Yorke sensitivity Li-Yorke sensitivity

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003nonli..16.1421a&link_type=abstract

Nonlinearity, Volume 16, Issue 4, pp. 1421-1433 (2003).

Physics

12

Scientific paper

We introduce and study a concept which links the Li-Yorke versions of chaos with the notion of sensitivity to initial conditions. We say that a dynamical system (X,T) is Li-Yorke sensitive if there exists a positive ɛ such that every x in X is a limit of points y in X such that the pair (x,y) is proximal but not ɛ-asymptotic, i.e. for infinitely many positive integers i the distance ρ(Ti(x),Ti(y)) is greater than ɛ but for any positive δ this distance is less than δ for infinitely many i.

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