{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:06:00Z","timestamp":1753884360806,"version":"3.41.2"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,3,30]]},"abstract":"<jats:p> In this paper, we relate the topological definitions of specification property and distributional chaos defined for uniformly continuous self-maps on noncompact, nonmetrizable spaces. We prove that a uniformly continuous surjective self-map acting on a uniformly locally compact Hausdorff uniform space with topologically weak specification property and a pair of distal points is topologically distributionally chaotic of type\u00a01. This extends the result due to Oprocha and \u0160tef\u00e1nkov\u00e1 [2008]. As a consequence, we get that uniformly continuous surjective self-map on a uniformly locally compact totally bounded Hausdorff uniform space with topological shadowing, topological mixing, and a distal pair is topologically distributionally chaotic of type\u00a01. <\/jats:p>","DOI":"10.1142\/s0218127422500481","type":"journal-article","created":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T09:37:34Z","timestamp":1648719454000},"source":"Crossref","is-referenced-by-count":3,"title":["Topological Weak Specification and Distributional Chaos on Noncompact Spaces"],"prefix":"10.1142","volume":"32","author":[{"given":"Naveenkumar","family":"Yadav","sequence":"first","affiliation":[{"name":"Department of Mathematics, B. K. M. 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