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克莱恩-戈登格子中的离散呼吸器:基于通缩的方法
F Martin-Vergara1, J Cuevas-Maraver2,3, P E Farrell4
1Área Básica de Tecnologías de la Información y Comunicaciones, Servicio de Sistemas Informáticos, Universidad de Málaga, 29071 Málaga, Spain.
Chaos (Woodbury, N.Y.)
|November 21, 2023
概括
这项研究扩展了通缩,一种数值方法,以在非线性动态格子中找到新的周期轨道. 该方法成功地识别了离散的呼吸器,它们是局部的,周期性的解决方案,揭示了多种多呼吸器的解决方案.
科学领域:
- 非线性动力学是一种非线性动力学.
- 数字分析 数字分析
- 计算物理学的计算物理.
背景情况:
- 折缩是一种用于寻找非线性局部微分方程的稳定状态解决方案的数值技术.
- 在非线性动态格子中确定周期轨道对于理解复杂系统行为至关重要.
研究的目的:
- 扩展通缩技术,用于在非线性动态格子中发现新的周期轨道.
- 为了识别这些格子中的离散呼吸器,它们是局部的,周期性的时间解决方案.
主要方法:
- 扩展了通缩数值技术.
- 对非线性动态格子的应用.
- 使用富里埃分解和能量密度配置文件的通缩方法的比较.
主要成果:
- 在非线性动态网格中成功识别了离散的呼吸器.
- 证明了能够找到各种各样的多呼吸器解决方案的能力.
- 展示了该方法的有效性,而不需要先前了解空间配置文件.
结论:
- 扩展膨胀方法对于发现新型周期轨道,特别是离散呼吸者是有效的.
- 该技术提供了一种强大的方法,可以在动态格子中探索复杂的解决方案分支.
- 这种方法有助于对多种多呼吸器解决方案进行表征.
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