Sufficient conditions for pointwise expansivity, shadowing, mixing, sensitivity and transitivity under orbital convergence, with examples establishing that the corresponding point sets are typically neither open nor closed and that the properties fail to pass to uniform or pointwise limits.
Chaos, S olitons & Fractals
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Pointwise dynamics under Orbital Convergence
Sufficient conditions for pointwise expansivity, shadowing, mixing, sensitivity and transitivity under orbital convergence, with examples establishing that the corresponding point sets are typically neither open nor closed and that the properties fail to pass to uniform or pointwise limits.