在基于联接后勤地图的离散猎物捕食者中探索混乱和分叉
Mohammed O Al-Kaff1, Hamdy A El-Metwally2, Abd-Elalim A Elsadany3
1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt. abohassien246@gmail.com.
Scientific reports
|July 12, 2024
概括
这项研究分析了使用两个物流图的离散掠食者-猎物模型,探索分叉和混乱. 混沌控制是通过OGY反方法实现的,通过数值模拟证实了发现.
科学领域:
- 数学生物学 数学生物学
- 动态系统理论 动态系统理论
- 非线性动力学是一种非线性动力学.
背景情况:
- 捕食者-猎物模型是生态学的基础.
- 离散的动态系统为人口波动提供了洞察力.
- 了解分叉和混乱对于生态稳定至关重要.
研究的目的:
- 使用两个合后勤地图调查离散的捕食者-猎物动态.
- 分析系统的固定点,稳定性和分叉.
- 在模型中探索和控制混乱的行为.
主要方法:
- 固定点及其稳定性的分析.
- 双叉理论的应用 (跨临界,周期翻倍,尼马克-萨克).
- 马罗托的混沌检测方法和OGY反用于混沌控制.
主要成果:
- 确定了跨临界,周期翻倍和尼马克-萨克二叉的条件.
- 证明了混沌动态的存在.
- 通过OGY反方法成功控制了混乱.
结论:
- 离散的捕食者-猎物模型表现出复杂的动态,包括分叉和混乱.
- 分叉理论和混乱控制方法是分析这些系统的有效工具.
- 数字模拟验证了理论发现,证实了模型的行为和控制效率.
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