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Updated: Jun 26, 2025

A Rapid Method for Modeling a Variable Cycle Engine
Published on: August 13, 2019
Cyclicity of slow-fast cycles with two canard mechanisms
Jinhui Yao1, Jicai Huang1, Renato Huzak2
1School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079, People's Republic of China.
Abstract:
In this paper, we study the cyclicity of some degenerate slow-fast cycles with two canard mechanisms in planar slow-fast systems. One canard mechanism originates from a slow-fast Hopf point and the other from a point of self-intersection where the so-called entry-exit relation can be used. By studying the difference map, we show that the cyclicity of such slow-fast cycles is at most two (the associated slow divergence integral is nonzero or vanishes). As an example, we apply this result to the modified Holling-Tanner model.
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