Interesting Dynamics and Inverse Limits in a Family of One-Dimensional Maps

DOI10.2307/4145128zbMath1069.37034OpenAlexW4238370487MaRDI QIDQ4653084

William S. Mahavier, W. T. Ingram

Publication date: 28 February 2005

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/4145128

zbMATH Keywords

chaosinverse limitinterval mapstopological propertiestents maps

Mathematics Subject Classification ID

Continua theory in dynamics (37B45) Dynamical systems involving maps of the interval (37E05)

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Chaotic equilibria in models with backward dynamics ⋮ On dimension of inverse limits with upper semicontinuous set-valued bonding functions ⋮ Inverse limits and an implicitly defined difference equation from economics ⋮ Inverse limit spaces arising from problems in economics ⋮ Li-Yorke chaos in models with backward dynamics ⋮ Filters display inverse limit spaces ⋮ Compacta admitting retractions close to the identity map ⋮ The inverse limits approach to chaos ⋮ Basins of measures on inverse limit spaces for the induced homeomorphism

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