Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems.
Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems.
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DOI：
10.1103/physreve.92.022912
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
S. Gomes;M. Pradas;S. Kalliadasis;Demetrios T. Papageorgiou;G. Pavliotis
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文献类型：
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作者：
S. Gomes;M. Pradas;S. Kalliadasis;Demetrios T. Papageorgiou;G. Pavliotis
我们提出了一种用于稳定和控制具有低维时空混沌的无限维动力系统的替代方法。我们表明，通过适当选择与时间相关的控制，我们能够稳定和/或控制所有稳定或不稳定的解，包括稳定解、行波（单脉冲和多脉冲或束缚态）和时空混沌。我们以广义Kuramoto-Sivashinsky方程为例说明了我们的方法，这是一个时空混沌的范例模型，众所周知，它具有丰富的波形和波转换谱以及丰富的时空结构。
We present an alternative methodology for the stabilization and control of infinite-dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show that with an appropriate choice of time-dependent controls we are able to stabilize and/or control all stable or unstable solutions, including steady solutions, traveling waves (single and multipulse ones or bound states), and spatiotemporal chaos. We exemplify our methodology with the generalized Kuramoto-Sivashinsky equation, a paradigmatic model of spatiotemporal chaos, which is known to exhibit a rich spectrum of wave forms and wave transitions and a rich variety of spatiotemporal structures.