在存在噪声和随机重置时,相互作用相位振荡器的静止状态动态
Anish Acharya1, Mrinal Sarkar2, Shamik Gupta1
1Tata Institute of Fundamental Research, Department of Theoretical Physics, Homi Bhabha Road, Mumbai 400005, India.
Physical review. E
|August 19, 2025
概括
全球重置通过同步相位影响合振荡器模型,揭示相关性.
科学领域:
- 物理 物理学 物理
- 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.
背景情况:
- 结合的极限周期振荡器是复杂系统建模的基础.
- 库拉莫托型模型描述了不同领域的同步现象.
- 了解外部干扰下的振荡器动态至关重要.
研究的目的:
- 为了研究全球重置对库拉莫托型振荡器模型的影响.
- 在噪音存在或不存在的情况下分析同步动态.
- 开发一个框架来描述静态态行为.
主要方法:
- 为库拉莫托型模型开发分析框架.
- 包括灭/化障碍和各种频率分布.
- 分析动态,并没有重置事件.
- 静态同步顺序参数的计算.
主要成果:
- 全球重置显著影响振荡器相位顺序.
- 相对关系在重置下塑造订单动态方面发挥着至关重要的作用.
- 分析框架成功地描述了各种模型概括.
结论:
- 全球重置可以诱导或修改振荡器网络中的同步.
- 该研究强调了在驱动系统中振荡器间相关性的重要性.
- 开发的框架为分析复杂的振荡器动态提供了一个多功能工具.
相关概念视频
Oscillations about an Equilibrium Position
5.6K
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...
5.6K
Second Order systems II
171
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
171
Forced Oscillations
6.8K
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.
6.8K
Oscillations In An LC Circuit
2.5K
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
2.5K
Damped Oscillations
6.0K
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...
6.0K
Stability
186
The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
186


