Forcing among exact patterns of triods

Sourav Bhattacharya

Chaos, Solitons & Fractals, 2026, vol. 210, issue P2

Abstract: We obtain a complete characterization of topologically exact patterns on triods. Based on their rotation numberρ, these exact patterns are grouped into three classes: slow (ρ<13), fast (ρ>13) and ternary (ρ=13). For each category, we derive a linear ordering of the set of natural numbers, N that captures forcing between the patterns. We also show that each of these orderings is stable under perturbations.

Keywords: Exact cycles; Triods; Block structure; Forcing relation; Rotation interval; Codes (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:210:y:2026:i:p2:s0960077926008155

DOI: 10.1016/j.chaos.2026.118674

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