The dynamics behavior of a discrete-time three-species food chain model is investigated. By using bifurcation theory, it is shown that the equilibrium point of the system loses its stability, and the system undergoes Neimark–Sacker bifurcation, which leads to chaos as the parameter changes. The chaotic motion is controlled on the stable periodic period-1 orbit using the implementation of the hybrid control strategy. The factor affecting the control time of chaos is also studied. Numerical simulations are consistent with the theoretical analysis. The results of this research prove that the chaos control method can be extended to the higher-dimensional biological model and can be realized.

中文翻译：

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通过OGY方法在三物种食物链模型中的Neimark-Sacker分岔和控制混沌

研究了离散时间三物种食物链模型的动力学行为。应用分岔理论表明，系统的平衡点失去稳定性，系统发生Neimark-Sacker分岔，随着参数的变化而导致混沌。混沌运动控制在稳定周期1 周期轨道上使用混合控制策略的实现。还研究了影响混沌控制时间的因素。数值模拟与理论分析一致。本研究结果证明混沌控制方法可以扩展到更高维的生物模型并可以实现。