适应函数和多层拓对同步的影响
Dhrubajyoti Biswas1, Sayan Gupta2
1Department of Physics, Indian Institute of Technology Madras, Madras 600036, India.
Physical review. E
|March 16, 2024
概括
这项研究探讨了合的库拉莫托振荡器如何同步,适应相互作用强度. 新的多层模型揭示了各种同步行为和过渡场景.
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:
- 库拉莫托振荡器是研究合动态系统中的同步现象的基本模型.
- 适应性合,其中相互作用强度取决于系统状态,引入了固定合模型中未见的复杂动态.
- 与单层系统相比,多层网络为理解新出现的行为提供了更丰富的框架.
研究的目的:
- 分析研究全球合的库拉莫托振荡器的同步动态与自适应对互动.
- 将自适应合框架扩展到多层配置,特别是双层模型.
- 在适应性多层网络中发现新的过渡场景,特别是那些具有交叉适应性层间相互作用的网络.
主要方法:
- 使用Ott-Antonsen替代器进行适应性合功能的分析研究.
- 适应性合的多层系统的理论表述的开发.
- 模拟和分析双层模型与交叉适应性层间合.
主要成果:
- 在单层系统中确定了两大类适应函数,这些函数控制着同步路径.
- 证明了自适应的多层配置比单层系统具有更广泛的同步行为.
- 由于交叉适应性层间相互作用,在双层模型中发现了不同的过渡场景.
结论:
- 适应性合显著丰富了库拉莫托振荡器网络的同步动态.
- 多层适应性网络为探索复杂的新兴现象提供了一个强大的平台.
- 这些发现提供了对不同复杂系统中同步行为的控制和设计的见解.
更多相关视频
07:59Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons
Published on: June 9, 2023
1.4K
09:32Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients
Published on: December 18, 2016
12.4K
相关概念视频
Multimachine Stability
151
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
151
Network Function of a Circuit
290
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
290
Simplified Synchronous Machine Model
224
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...
224
Cascaded Op Amps
631
Operational amplifiers (op-amps) are versatile electronic components that can be interconnected in a cascade - one after another in a linear sequence. This cascading is possible due to their infinite input resistance and zero output resistance, allowing them to maintain their input-output relationships even when connected in series.
In a cascaded system, each op-amp is referred to as a stage. The output of one stage drives the input of the subsequent stage. As the input signal passes through...
In a cascaded system, each op-amp is referred to as a stage. The output of one stage drives the input of the subsequent stage. As the input signal passes through...
631
Linear time-invariant Systems
257
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
257
Circuit Terminology
1.5K
An electrical network is a system composed of interconnected elements, such as resistors, capacitors, inductors, and voltage or current sources. Unlike a circuit, an electrical network does not necessarily form a closed path. In other words, while all circuits can be considered networks due to their interconnected nature, not every network qualifies as a circuit.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
1.5K
