Explores distributional chaos in multidimensional systems, suggesting implications for chaotic behavior.
In this paper, we study the relationship between the notions of distributional chaos and specification property defined for multidimensional time discrete dynamical systems. Essentially, we prove that a Zᵈ -action on a compact metric space with weak specification property and with a pair of distal points admits a dense distributionally scrambled set of type 1.
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Naveenkumar Yadav (2025) studied this question.
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