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Ergodic Theory and Dynamical Systems II pp 1–73Cite as

Birkhäuser

Topological Dynamics on the Interval

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Part of the book series: Progress in Mathematics ((PM,volume 21))

Abstract

A great deal has been written about maps of the interval, especially in recent years. In addition to many detailed mathematical papers, there have been a number of numerical studies and descriptive works (Co, Fe, GM, HoH, Ma2, MeS, Mr) and studies relating one-dimensional dynamical systems to models in the biological (GOI, HLM, La5–6, Ma1, MaO, WL) and physical (CE, GM1, La3,6, LaR, Lo1–3) sciences. The subject is appealing because it is easy to talk about — very little technical apparatus is needed to pose many problems in the field - and yet one-dimensional systems can exhibit surprizingly complex dynamic behavior.

The erratum of this chapter is available at http://dx.doi.org/10.1007/978-1-4899-2689-0_8

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  1. Tufts University, USA

    Zbigniew Nitecki

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    A. Katok

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Nitecki, Z. (1982). Topological Dynamics on the Interval. In: Katok, A. (eds) Ergodic Theory and Dynamical Systems II. Progress in Mathematics, vol 21. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-2689-0_1

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