Chaotic vibration of the one-dimensional linear wave equation with a van der Pol nonlinear boundary condition
Guogang LIU
Yi ZHAO
摘要：The one-dimensional linear wave equation with a van der Pol nonlinear boundary condition is one of the simplest models that may cause isotropic or nonisotropic chaotic vibrations.It characterizes the nonisotropic chaotic vibration by means of the total variation theory.Some results are derived on the exponential growth of total variation of the snapshots on the spatial interval in the long-time horizon when the map and the initial condition satisfy some conditions.
机标关键词：
分类号：O1(数学)
资助基金：国家自然科学基金(10371136)广东省自然科学基金(021765,031603)
论文发表日期：2004-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：7( 358-364 )
英文信息