- Identifying Bifurcations for Combinatorial Dynamical Systems
- Project Year:
2021
- REU Student (s):
Yousef Sayes | New Jersey Institute of Technology NJ
- Student 1 Institution:
New Jersey Institute of Technology
- Project Mentor:
Konstantin Mischaikow
- Project Mentor Area:
Mathematics
- Project Abstract:
The identification of higher order bifurcations in combinatorial dynamical systems allows for deep insights into the underlying structures of these systems. The modeling of such phenomena, specifically biological ones, in a combinatorial fashion has been explored; however, a systematized process to which higher order bifurcations may be found through is still nonexistent. The use of multiple paths between given adjacent parameter nodes and applying slow-fast dynamics to represent transitions between these nodes point us toward the discovery of such bifurcations. A process to identify bifurcations therefore allows us far greater insight into these systems, especially as their complexity increases.
