Abstract
This paper is mainly concerned with coupled map lattice (CML) of the form x <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m+1,n</sub> =(1-epsiv)f(x <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m,n</sub> )+0.5epsiv{f(x <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m,n-1</sub> )+f(x <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m,n+1</sub> )} where f:RrarrR is a continuous function and misinN <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> ={0, 1,hellip} and nisinZ={hellip, -1, 0, 1,hellip}. A new definition of chaos on recurrent points set in discrete spatiotemporal systems is given and one sufficient condition for this system to be distributionally chaotic is derived.
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