隐形几何学和更高阶相互作用对相振荡器的同步和歇斯底里行为对5个点击简单组件的作用
Samir Sahoo1,2, Bosiljka Tadić3,4, Malayaja Chutani5
1Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai 600036, India.
Physical review. E
|October 18, 2023
概括
网络几何学显著影响振荡器同步. 复杂的架构创建局部组,阻碍全球同步,根据交互类型和网络结构的影响有所不同.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 统计物理学的统计物理.
背景情况:
- 简化复杂提供了一个研究复杂网络几何学的框架.
- 交互系统的集体动态受网络拓学的影响.
- 高阶交互可以显著改变网络行为.
研究的目的:
- 调查四维简式复合体的几何如何影响合相振荡器的同步.
- 分析对联 (K1) 和三联 (K2) 对同步模式的影响.
- 探索网络架构 (稀疏,混合,紧) 在新兴集体动态中的作用.
主要方法:
- 模拟阶段振荡器在三种类型的简单复合体 (稀疏,混合,紧) 上,这些复合体是从5组聚合物中培养出来的.
- 系统地改变对联强度 (K1) 和基于三角形的三联 (K2).
- 分析个别振荡器阶段和全局顺序参数以量化同步水平和歇斯底里循环.
主要成果:
- 网络架构,交互顺序和内部频率分布对同步具有关键影响.
- 局部同步的群体出现,阻碍了全球同步,它们的形成取决于共享的面孔和更高层次的相互作用.
- 紧架构在负K1时表现出更高的部分同步,而在较低K2时脱同步,与较少的结构相比.
结论:
- 简式复合体的几何结构在塑造集体振荡器动态方面发挥着至关重要的作用.
- 局部同步模式可以出现并阻碍全球连贯性,为复杂的网络行为提供了洞察力.
- 了解这些结构动力学关系是设计和控制复杂系统的关键.
相关概念视频
Oscillations In An LC Circuit
2.3K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.3K
Stability of Equilibrium Configuration
455
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
455
Simplified Synchronous Machine Model
247
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...
247
Damped Oscillations
5.7K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
5.7K
Oscillations about an Equilibrium Position
5.4K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
5.4K
Forced Oscillations
6.6K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
6.6K


