Relaxation Oscillation Profile of Limit Cycle in Predator-prey System
نویسندگان
چکیده
It is known that some predator-prey system can possess a unique limit cycle which is globally asymptotically stable. For a prototypical predatorprey 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.
منابع مشابه
Relaxation oscillator profile of limit cycle in predator-prey system
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. MSC 2000: 34C26, 34C15, 34C07, 92D25
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