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Anima Nagar ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1080/10236198.2019.1678598 · OA: W2914871814

Let $(X,d)$ be a compact metric space and $f:X \\to X$ be a self-map. The\ncompact dynamical system $(X,f)$ is called sensitive or sensitivity depends on\ninitial conditions, if there is a positive constant $\\delta$ such that in each\nnon-empty open subset there are distinct points whose iterates will be\n$\\delta-$apart at same instance. This dynamical property, though being a very\nweak one, brings in the essence of unpredictability in the system. In this\narticle, we survey various sensitivities and some properties implied by and\nimplying such sensitivities.\n