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CONSTRUCTION OF SHIFT SPACES OF INFINITE TYPE AND DEVANEY'S CHAOS


THANGJAM BIRKRAMJIT SINGH
Department of Mathematics, NIT Manipur-795004, INDIA, e-mail: birkramth@gmail.com

Issue:

SSRSMI, Number 2, Volume XXVIII

Section:

Volume 28, Number 2

Abstract:

In this paper we present two new examples of shift spaces of infinite type over two sym-bols. One of the spaces is shown to be densely Li-Yorke chaotic and Robinson chaotic, but not chaotic in the sense of Devaney, while the other one is found out to be Devaney chaotic.

Keywords:

Shift space of infinite type, Topological Transitivity, Li-Yorke chaos, Devaney chaos, Mixing, Weakly Blending.

Code [ID]:

SSRSMI201802V28S01A0007 [0004860]

Note:

DOI:

Full paper:

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