The study investigates detonations with multiple quasi-steady velocities that have been observed in the past in systems with multi-peaked thermicity, using Fickett's detonation analogue. A steady-state analysis of the travelling wave predicts multiple states, however, all but the one with the highest velocity develop a singularity after the sonic point. Simulations show singularities are associated with a shock wave which overtakes all sonic points, establishing a detonation travelling at the highest of the predicted velocities. Under a certain parameter range, the steady-state detonation can have multiple sonic points and solutions. Embedded shocks can exist behind sonic points, where they link the weak and strong solutions. Sonic points whose characteristics do not diverge are found to be unstable, and to be the source of the embedded shocks. Numerical simulations show that these shocks are only quasi-stable. This is believed to be due in part to a feature of the model which permits shocks anywhere behind a sonic point.

中文翻译：

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具有多峰热度的系统中爆轰机制的多样性

该研究使用 Fickett 的爆震类似物调查了过去在具有多峰热度的系统中观察到的具有多个准稳态速度的爆震。行波的稳态分析预测了多种状态，但是，除了速度最高的那个之外，所有状态都会在声点之后形成奇点。模拟显示奇点与冲击波有关，该冲击波超过所有声波点，建立以最高预测速度行进的爆炸。在一定的参数范围内，稳态爆轰可以有多个声点和解。嵌入的冲击可能存在于声波点之后，它们将弱解和强解联系起来。特征不发散的声波点被发现是不稳定的，并且是嵌入冲击的来源。数值模拟表明，这些冲击只是准稳定的。这被认为部分是由于模型的一个特征，它允许在声点后面的任何地方发生冲击。