Scholarlink

Much of the existing, rigorous proofs for the occurrence of chaos in PDEs are in one space dimension. Very few results are known for problems in multi-dimensional settings. The study of chaotic vibrations for multi-dimensional PDEs due to nonlinear boundary conditions is challenging. Not only the equation itself but the geometric shape of the domain matters in analyzing the complex dynamics.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Chaotic Vibrations of a Multi-Dimensional Wave Equation

  • 章节

  • 发表日期：

    2025年

查看全文
  • Liangliang Li,
  • Yu Huang,
  • Goong Chen

摘要

Much of the existing, rigorous proofs for the occurrence of chaos in PDEs are in one space dimension. Very few results are known for problems in multi-dimensional settings. The study of chaotic vibrations for multi-dimensional PDEs due to nonlinear boundary conditions is challenging. Not only the equation itself but the geometric shape of the domain matters in analyzing the complex dynamics.