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Relationship between Chain Recurrence Rates and Topological Entropy
Nur Aizatul Adawiyah Binti Mohd Sofian
Supervisor: Assoc. Prof. Dr. Zabidin Bin Salleh
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
In this research, we want to describe the relationship between chain recurrence rates
and topological entropy in dynamical system. There are objectives in this research which
are to investigate the properties of chain recurrent, chain transitive and chain mixing
maps, to describe the structure of chain transitive dynamical systems and to show that
the growth of the chain mixing times can give information about topological entropy. For
the methodology for this research, we explain how to describe the structure of chain
transitive maps in dynamic systems, we explore the properties of the chain recurrence
and mixing times and we relate the chain mixing time to topological entropy. The result
from this research is the properties of chain recurrent, chain transitive, and chain mixing
maps, we can described that the structure of chain transitive maps. Last, the result is,
that topological entropy can be calculated from the growth rate of ε-chain.
853 | UMT UNDERGRADUATE RESEARCH DAY 2018