2024
DOI: 10.1186/s13660-024-03167-5
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Asymptotic stability and bifurcations of a perturbed McMillan map

Lili Qian,
Qiuying Lu,
Guifeng Deng

Abstract: This paper presents various bifurcations of the McMillan map under perturbations of its coefficients, such as period-doubling, pitchfork, and hysteresis bifurcation. The associated existence regions are located. Using the quasi-Lyapunov function method, the existence of asymptotically stable fixed point is also demonstrated.

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