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On the Complexity of Economic Dynamics:
An Approach through Topological Entropy
Nurul Hasni Binti Che Daud
Supervisor: Assoc. Prof. Dr. Zabidin Bin Salleh
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Topological entropy is constant of topological dynamical systems or nonnegative number
which measures the complexity of the system. Is topological entropy can be compute
with prescribed accuracy to analyse the chaotic behaviour of dynamical systems given by
some economic models? We focus on piecewise monotone maps which often appear as
dynamical models in economy. Our aim is to show that when topological entropy can be
approximated up to a given error, it is a useful tool to examine the chaotic dynamics in
one dimensional models. An algorithm is presented for computing the topological entropy
of a piecewise monotone map of the interval which having three monotone pieces. The
accuracy of the algorithm is discussed and some graphs of the topological entropy
obtained using the algorithm are displayed. Some of the ideas behind the algorithm have
application to piecewise monotone functions with more than three monotone pieces.
993 | UMT UNDERGRADUATE RESEARCH DAY 2018