The influence of external harmonic forcing in nonlinear chaotic systems is a subject of active investigation, chiefly in low-dimensional dynamical systems, but fewer results are available for high-dimensional systems like plasmas. In this paper, we consider a theoretical model for a weakly ionized plasma, in which the following effects are taken into account: (i) ambipolar diffusion; (ii) the inflow of plasma particles through ionization processes; (iii) the outflow of plasma particles due to recombination. The spatiotemporal patterns of the resulting nonlinear system, as revealed by numerical integration of the reaction-diffusion partial differential equations, can be partially or totally suppressed through the action of acoustic waves forming stationary patterns in the plasma container. These suppression effects are quantitatively investigated by a number of numerical diagnostics like the average Lyapunov exponents and spatial correlation function. Suppression of spatiotemporal chaos can be achieved through adequate choices of amplitude and frequency of the applied waves.

中文翻译：

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弱电离等离子体中具有稳态波扰动的反应扩散方程

非线性混沌系统中外部谐波强迫的影响是一个积极研究的主题，主要是在低维动力系统中，但对等离子体等高维系统的可用结果较少。在本文中，我们考虑了弱电离等离子体的理论模型，其中考虑了以下影响：（i）双极扩散；(ii) 等离子体粒子通过电离过程流入；(iii) 由于复合而流出的等离子体粒子。正如反应扩散偏微分方程的数值积分所揭示的那样，所得非线性系统的时空模式可以通过声波在等离子体容器中形成固定模式的作用而部分或全部抑制。这些抑制效果通过许多数值诊断进行定量研究，例如平均李雅普诺夫指数和空间相关函数。Suppression of spatiotemporal chaos can be achieved through adequate choices of amplitude and frequency of the applied waves.