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Sensitivity and Property P in Non-Autonomous Systems

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Abstract

We prove equivalence of different stronger forms of sensitivity under certain conditions for non-autonomous systems and provide examples wherever equivalence is not true in general. We also prove that if a nonminimal, topologically transitive non-autonomous system having the set of almost periodic points dense converges uniformly, then it is thickly syndetically sensitive. Moreover, we introduce the notion of property P for non-autonomous systems, study it in general and on certain induced systems.

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The authors are thankful to the referee for his/her valuable comments and suggestions.

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  1. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Mohammad Salman & Ruchi Das

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  1. Mohammad Salman
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  2. Ruchi Das
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Correspondence to Ruchi Das.

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Mohammad Salman is supported by Ministry of Minority Affairs, Government of India, Maulana Azad National Fellowship (F.No. 61-1/2019 (SA-III))

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Salman, M., Das, R. Sensitivity and Property P in Non-Autonomous Systems. Mediterr. J. Math. 17, 128 (2020). https://doi.org/10.1007/s00009-020-01552-0

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  • DOI: https://doi.org/10.1007/s00009-020-01552-0

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