一维波动方程的非线性边界反馈控制

摘要

论文分析了间歇性线性方程波的动态特征,这些特征包括右端点的德玻尔非线性形状式边界控制,而左端点包括未设置的边界条件.这种动态特征系统可以分成两类:经典无边界非线稳定性,或者离散点覆盖了和德玻尔条件相关的非线性影响相周期点.%In this paper, we analyze the dynamical behaviors of the linear wave equation on an interval,where the right endpoint has a Van der Pol type nonlinearity form boundary controller, while the left endpoint has an unset boundary condition . The asymptotic behaviors of the system can be classified into two basic types: classical unbounded instability, or spatial pointwise converged to the periodic points of a nonlinear map, corresponding to the Van der Pol condition.