论文标题
3D振荡器网络中的嵌合体和孤立状态
Chimera and solitary states in 3D oscillator networks with inertia
论文作者
论文摘要
我们在三维（3D）库拉莫托模型中报告了滚动波嵌合体的多样性，该模型具有惯性，用于n^{3}相同的相位振荡器，位于具有周期性边界条件的单元3D立方体中。在与惯性的被考虑的模型中，我们发现了没有惯性的系统中不存在的模式。特别是，从随机初始条件中获得滚动环嵌合体。与没有惯性的系统相比，所有嵌合体状态都具有不一致的内部部分，这些状态可以具有部分连贯或完全相干的内部部分，例如滚动环嵌合体的例证。孤立状态存在于被认为是单独状态的被考虑模型中，或者可以与振荡空间中的滚动波嵌合体共存。我们还提出了一种使用孤立状态作为惯性的3D库拉莫托模型的解决方案的3D图像的构造方法。
We report the diversity of scroll wave chimeras in the three-dimensional (3D) Kuramoto model with inertia for N^{3} identical phase oscillators placed in a unit 3D cube with periodic boundary conditions. In the considered model with inertia, we have found patterns which do not exist in this system without inertia. In particular, a scroll ring chimera is obtained from random initial conditions. In contrast to this system without inertia, where all chimera states have incoherent inner parts, these states can have partially coherent or fully coherent inner parts as exemplified by a scroll ring chimera. Solitary states exist in the considered model as separate states or can coexist with scroll wave chimeras in the oscillatory space. We also propose a method of construction of 3D images using solitary states as solutions of the 3D Kuramoto model with inertia.
