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Limit Cycles in Biological Systems
This lecture covers the concept of limit cycles in biological systems, focusing on the existence and stability of these cycles. The instructor explains the conditions for the existence of limit cycles and analyzes the behavior of systems near these cycles. The lecture delves into the mathematical models used to describe limit cycles and provides examples of biological systems exhibiting limit cycle behavior, such as glycolysis oscillations. Various types of bifurcations and stability analyses are discussed, highlighting the importance of limit cycles in understanding the dynamics of biological systems.