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dc.contributor.authorHurder, Steven
dc.contributor.authorRechtman, Ana
dc.description.abstractWe consider the dynamical properties of C∞-variations of the flow on an aperiodic Kuperberg plug K. Our main result is that there exists a smooth 1-parameter family of plugs K for ∈ (−a, a) and a < 1, such that: (1) The plug K0 = K is a generic Kuperberg plug; (2) For < 0, the flow in the plug K has two periodic orbits that bound an invariant cylinder, all other orbits of the flow are wandering, and the flow has topological entropy zero; (3) For > 0, the flow in the plug K has positive topological entropy, and an abundance of periodic orbits.en_US
dc.publisherAmerican Mathematical Societyen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectKuperberg flowsen_US
dc.subjectaperiodic flowsen_US
dc.subjecttopological entropyen_US
dc.titleAperiodicity at the Boundary of Chaosen_US
dc.identifier.citationHurder, S., & Rechtman, A. (2018). Aperiodicity at the Boundary of Chaos. Ergodic Theory and Dynamical Systems, 38(7), 2683-2728. doi:10.1017/etds.2016.144en_US

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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States