Topological Dynamics on the Interval

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.

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