Chaos and Order of Inverse Limit Space for a Graph Map

Jie Lu

Chinese Annals of Mathematics, Series B ›› 2000, Vol. 21 ›› Issue (1) : 25 -32.

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Chinese Annals of Mathematics, Series B ›› 2000, Vol. 21 ›› Issue (1) : 25 -32. DOI: 10.1007/BF02731954
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Chaos and Order of Inverse Limit Space for a Graph Map

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Abstract

With the method of inverse limit, the author obtains several criteria of chaos of piecewise monotone continuous maps on finite graphs.

Keywords

Chaos / Inverse limit / Order / Recurrent point / 58F15 / 26A18 / O19

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Jie Lu. Chaos and Order of Inverse Limit Space for a Graph Map. Chinese Annals of Mathematics, Series B, 2000, 21(1): 25-32 DOI:10.1007/BF02731954

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