库拉莫托网络中的同步过渡与更高模式交互
Rico Berner1, Annie Lu2, Igor M Sokolov1
1Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany.
Chaos (Woodbury, N.Y.)
|July 18, 2023
概括
这项研究探讨了超出 Kuramoto 标准模型的振荡器系统中的同步. 我们发现,两个合模式产生复杂的动态,导致不同的振荡器组.
科学领域:
- 复杂的系统复杂的系统.
- 非线性动力学是一种非线性动力学.
- 统计物理学的统计物理.
背景情况:
- 同步是大自然和技术中普遍存在的现象.
- 了解现实世界的同步动态仍然具有挑战性.
- 库拉莫托模型是研究同步的一个基本但有限的范式.
研究的目的:
- 研究相振荡器系统中的同步过渡,其中有两个非消失的里埃模式.
- 超越标准库拉莫托模型的局限性.
- 阐明多个合模式在同步动态中的作用.
主要方法:
- 对具有双模式交互功能的相振荡器系统的分析.
- 扩展集体协调方法.
- 对同步过渡的数学建模.
主要成果:
- 同步场景非常依赖于两个合模式的相互作用.
- 第二个合模式的存在会诱导多稳定性.
- 两种模式的合导致出现的状态类似于两个独立的,相互作用的振荡器组.
结论:
- 双模式合模型提供了比库拉莫托模型更丰富的同步描述.
- 新兴状态可以以独立但相互作用的振荡器子组为特征.
- 这些发现鼓励研究具有复杂交互功能的动态系统.
相关概念视频
Cooperative Allosteric Transitions
2.5K
2.5K
Phase Transitions
19.2K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
19.2K
¹H NMR: Interpreting Distorted and Overlapping Signals
1.1K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.1K
Sequence Networks of Rotating Machines
125
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
125
Simplified Synchronous Machine Model
285
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
285
Transmission-Line Differential Equations
344
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
344


