气泡转变作为破坏相同微泡造影剂同步振荡的机制
Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents
摘要：
我们研究了两个相互作用的微泡造影剂暴露于外部超声场的模型中的同步振荡的破坏过程。完全同步振荡在这个模型中是可能的情况下，相同的泡沫，当方程的控制系统具有对称性，导致存在的同步流形。这样的同步振荡可以被破坏，而不破坏相应的对称性的支配动力系统。在这里，我们描述的现象学机制负责这种破坏同步，并证明其实施所研究的模型。我们表明，横向不稳定区域的同步流形的出现和扩大导致的同步混沌吸引子到超混沌之一的转变。我们还证明了这个分歧序列是稳定的对称破缺扰动。
英文摘要：
We study the process of destruction of synchronous oscillations in a model of two interacting microbubble contrast agents exposed to an external ultrasound field. Completely synchronous oscillations in this model are possible in case of identical bubbles, when the governing system of equations possess a symmetry leading to the existence of a synchronization manifold. Such synchronous oscillations can be destructed without breaking the corresponding symmetry of the governing dynamical system. Here we describe the phenomenological mechanism responsible for such destruction of synchronization and demonstrate its implementation in the studied model. We show that the appearance and expansion of transversally unstable areas in the synchronization manifold leads to transformation of a synchronous chaotic attractor into a hyperchaotic one. We also demonstrate that this bifurcation sequence is stable with respect to symmetry breaking perturbations.
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