标题： 参数共振在耗散系统中的Kronig-Penney形式 显示英文标题

标题： Parametric Resonance in a dissipative system á la Kronig-Penney

摘要： 在阻尼Kronig-Penney模型中研究了参数共振(PR)与耗散之间的竞争，其中耗散率gamma(t)是随时间变化的。 在经典情况下，结果表明耗散最多只留下有限数量的PR带，抑制了高频的PR带。 对Lewis-Reisenfeld不变量I(q,p,rho)进行了分析，结果表明在PR区域，辅助函数rho(t)可以根据初始条件选择为有界或无界。 显示英文摘要

摘要： The competition between parametric resonance (PR) and dissipation is studied in the damped Kronig-Penney model, with time-dependent dissipation rate gamma(t). In the classical case, it is shown that dissipation leaves just a finite number of PR-bands at most, suppressing those at higher frequencies. An analysis of the Lewis-Reisenfeld invariant I(q,p,rho) is performed, showing that, in the PR regime, the auxiliary function rho(t) can be chosen bounded or unbounded, depending on the initial conditions.