用各种混乱检测工具对双链DNA模型的Soliton动态和稳定性分析
Mohammad Safi Ullah1, Rabeya Akter2
1Department of Mathematics, Comilla University, Cumilla, 3506, Bangladesh.
Scientific reports
|December 2, 2025
概括
这项研究使用扩展的雅科比圆形膨胀函数方法来分析DNA双链模型中的单子动态. 该方法有效地识别了各种波解,并证实了它们的稳定性,为非线性问题提供了可靠的方法.
科学领域:
- 非线性动力学是一种非线性动力学.
- 数学生物学的数学生物学
- 计算物理学的计算物理.
背景情况:
- 了解DNA的机械和动态特性至关重要.
- 索利顿动态提供了对生物系统中的能量和信息传输的见解.
- 以前分析DNA非线性模型的方法有局限性.
研究的目的:
- 为了研究双链DNA模型的单子动态.
- 应用扩展的雅科比圆形膨胀函数方法用于波浪分析.
- 评估所得到的溶液的稳定性和混乱性.
主要方法:
- 扩展的雅科比圆形膨胀函数方法用于波浪解决方案.
- 线性稳定理论和稳定性分析的哈密尔顿方法.
- 工具,如奇怪的吸引力,复发图,分叉图,和碎形维度的混乱分析.
主要成果:
- 成功获得了扭曲波,反扭曲波,黑暗单子,明亮单子,呼吸波和周期波.
- 确认了控制方程的稳定性,并得到了解决方案.
- 使用各种分析工具描述了非线性DNA模型的混乱行为.
结论:
- 扩展的雅可比圆膨胀函数方法是高效的,可靠的,易于实施,用于分析DNA单子动态.
- 该研究提供了对双链DNA模型中波传播和稳定性的全面了解.
- 这些发现为未来的数学生物学和非线性物理学研究提供了坚实的框架.
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