Abstract The dynamics of combustion waves propagating in a solid reacting material is investigated in the presence of radiative heat losses within the one-step Arrhenius reaction mechanism and the narrow sample approximation. As expected, a C-shaped response curve caused by the competition of heat release and heat dissipation is found where the lower branch of the response curve is unstable. Along the upper branch, the period doubling Feigenbaum’s cascade occurs with increasing values of heat-loss intensity leading to chaotic dynamics. Finally, for the further increase of the heat-loss parameter, the persistent chaotic dynamics is replaced by the sudden extinction. It must be emphasized that this extinction occurs for significantly lower heat losses than the steady extinction limit associated with the turning point of the C-shaped response curve. The most unexpected finding is that the temporal interval of chaotic behavior preceding the sudden extinction event may be extremely long with apparently unpredictable duration. These results may be relevant for combustion processes in solid energetic materials or other similar systems.

中文翻译：

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固体含能材料窄样品中的燃烧波动力学：辐射热损失对混沌行为和动态消光现象的影响

摘要 研究了在单步阿伦尼乌斯反应机制和窄样本近似中存在辐射热损失的情况下，燃烧波在固体反应材料中传播的动力学。正如预期的那样，在响应曲线的下分支不稳定的地方发现了由放热和散热竞争引起的 C 形响应曲线。沿着上部分支，随着热损失强度值的增加，导致费根鲍姆级联的周期加倍，导致混沌动力学。最后，为了进一步增加热损失参数，持续的混沌动力学被突然灭绝所取代。必须强调的是，与 C 形响应曲线的转折点相关的稳定消光极限相比，这种消光发生的热量损失要低得多。最出人意料的发现是，突然灭绝事件之前的混乱行为的时间间隔可能非常长，而且持续时间显然不可预测。这些结果可能与固体含能材料或其他类似系统的燃烧过程有关。