混沌和规律在一个异构的软松鼠球场
A González Andrade1, H N Núñez-Yépez1, M A Bastarrachea-Magnani1
1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco 186, C.P. 09310 CDMX, México.
Physical review. E
|January 21, 2026
概括
这项研究探讨了异构的软壁松鼠,揭示了它的参数如何影响混乱的动态和规律的行为. 了解这些转变可以增强我们对软亿球系统的了解.
科学领域:
- 数学物理 数学物理
- 动态系统理论 动态系统理论
背景情况:
- 硬墙比利亚特模型的粒子限制与瞬间碰撞.
- 软将这一点概括为由哈密尔顿动力学支配的平滑边界,提供更现实的模型.
研究的目的:
- 为了研究一种异构的软壁球的动态特征.
- 描述这个系统内从规律轨迹过渡到混乱轨迹的过程.
主要方法:
- 在一个新奇的异构型软壁松鼠球的轨迹分析.
- 计算的孔卡雷表面的截面.
- 在参数空间中计算Liyapunov指数.
主要成果:
- 展示混乱的开始及其与规律动态的交替.
- 描述过渡到混乱和动态稳定.
- 揭示了正方形,圆形和硬度参数的非线性.
结论:
- 不同类型的软壁松鼠游戏表现出复杂的动态,过渡到混乱.
- 普恩卡雷段和利亚普诺夫指数有效地表征了这些动态制度.
- 这项工作为了解软亿球中的混乱开始提供了一个工具.
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