Abstract
Some properties of internally chain transitive sets for continuous maps in metric spaces are presented. Applications are made to attractivity, convergence, strong repellors, uniform persistence, and permanence. A result of Schreiber on robust permanence is improved.
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Hirsch, M.W., Smith, H.L. & Zhao, XQ. Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems. Journal of Dynamics and Differential Equations 13, 107–131 (2001). https://doi.org/10.1023/A:1009044515567
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DOI: https://doi.org/10.1023/A:1009044515567