随机库拉莫托振荡器具有惯性和更高阶相互作用
Priyanka Rajwani1, Sarika Jalan1
1Indian Institute of Technology Indore, Complex Systems Lab, Department of Physics, Khandwa Road, Simrol, Indore-453552, India.
Physical review. E
|February 20, 2025
概括
噪声影响将库拉莫托振荡器与更高阶相互作用相结合. 增加噪声强度将同步过渡的关键点转移到更高的合值,改变过系统中的过渡顺序.
科学领域:
- 物理 物理学 物理
- 非线性动力学是一种非线性动力学.
- 复杂的系统复杂的系统.
背景情况:
- 合振荡器在各种科学领域都是基本的.
- 之前的研究重点是对对相互作用和噪声效应.
- 在杂的振荡器系统中,更高阶相互作用的作用仍然不太被探索.
研究的目的:
- 为了研究噪声对二阶合库拉莫托振荡器与高阶相互作用的影响.
- 分析增加噪声强度如何影响同步过渡和关键点.
- 检查过系统中的过渡顺序变化.
主要方法:
- 随机二阶库拉莫托模型与高阶相互作用.
- 扰动分析来导出关键点表达式.
- 奥特-安东森对分析临界点性质的分析.
主要成果:
- 增加的噪声强度将同步过渡的关键点转移到更高的合值.
- 导出了前置临界点的表达式,取决于惯性和噪声.
- 在过度压缩的系统中,噪声强度的增加会改变第一阶段的过渡到第二阶段,即使是高阶合.
结论:
- 噪音显著改变了高阶合的库拉莫托振荡器中的同步动态.
- 这些发现提供了关于噪声和惯性在复杂的振荡系统中的作用的见解.
- 这项研究有助于理解非线性动态中的相位过渡.
相关概念视频
Second Order systems II
84
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.
84
Damped Oscillations
5.6K
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...
5.6K
Oscillations about an Equilibrium Position
5.3K
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...
5.3K
Second-Order Circuits
1.3K
Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
1.3K
Forced Oscillations
6.5K
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.
6.5K
Second Order systems I
129
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
By reinterpreting the system, one can derive the closed-loop transfer function, which...
129


