Discrete and Continuous Dynamical Systems-Series B
It is known that some predator-prey system can possess a unique limit cycle which is globally asymptotically stable. For a prototypical predator-prey system, we show that the solution curve of the limit cycle exhibits temporal patterns of a relaxation oscillator, or a Heaviside function, when certain parameter is small.
Hsu, S. B., & Shi, J. (2009). Relaxation oscillator profile of limit cycle in predator-prey system. Discrete Contin. Dyn. Syst. Ser. B, 11(4), 893-911.