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math.DS2013
Chaos in Topological Spaces
John Taylor
We give a definition of chaos for a continuous self-map of a general topological space. This definition coincides with the Devanney definition for chaos when the topological space…
math.DS2008
A Solution to the Monotonicity Problem for Unimodal Families
John Taylor
In this note we consider a collection C of one parameter families of unimodal maps of [0,1]. Each family in the collection has the form uf where u is in [0,1]. Denoting the kneadin…
math.DS2007
When will a One Parameter Family of Unimodal Maps Produce Finite Limit Cycles Monotonically with the Parameter?
John Taylor
In this note we consider a collection of one parameter families of unimodal maps of Each family in the collection has the form where Denot…