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Comparison of Attractors in Dynamical Systems
with Attractors in Skew Product Dynamical Systems
Mohd Tirmizi Bin Mohd Lutfi
Supervisor: Dr. Ummu ‘Atiqah Binti Mohd Roslan
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Most dynamical systems occur in real life are chaotic and crucial to solve analytically. A
better understanding of the behaviour of the systems is required to analyse the systems
itself. This project focuses on a concept of attractors in both usual dynamical system and
skew product dynamical system. In particular, we consider and prove the notion of
attractors, basin of attraction, compactness and invariance of the attractor in both
systems. In the next part of the thesis, we compare both systems in term of the attractors
and provide examples from Ashwin (1996) and Keller (2014) to visualize more about the
attractors in both systems. This study is important to characterize the attractors in skew
product dynamical system especially the existence of invariance graph where the
invariant concept in skew product system is different from the invariance in usual
dynamical system.
947 | UMT UNDERGRADUATE RESEARCH DAY 2018