阶段自动编码器用于以数据驱动的节奏空间时空模式的快速同步
Koichiro Yawata1, Ryo Sakuma1, Kai Fukami2
1Institute of Science Tokyo, Department of Systems and Control Engineering, Tokyo 152-8552, Japan.
Physical review. E
|January 21, 2026
概括
我们开发了一种机器学习方法,使用相位自编码器来同步反应扩散系统中的节奏空间时间模式. 这种数据驱动的方法使复杂的动态能够精确地控制相位.
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.
- 计算物理 计算物理
背景情况:
- 反应扩散系统表现出复杂的节奏空间时间模式.
- 控制这些动态,特别是同步,由于高维度而具有挑战性.
- 现有的方法经常在不影响振幅的情况下精确控制相位方面扎.
研究的目的:
- 开发一种数据驱动的机器学习方法,用于在反应扩散系统中同步节奏的时空模式.
- 扩展相位自编码器框架用于高维场变量.
- 为了能够精确地控制时空动态的相位.
主要方法:
- 开发了一个框架,使用相位自编码器将高维场变量映射到低维潜变量.
- 描述了系统动态的非对称阶段和幅度.
- 提出了一种方法来驱动系统沿着极限周期的接触方向进行相位控制.
主要成果:
- 实现了极限周期动态的数据驱动阶段描述.
- 在FitzHugh-Nagumo系统中成功地证明了1D振荡点和2D螺旋波的快速同步.
- 展示了基于参考和基于合的设置中的相位控制,而不会引起振幅偏差.
结论:
- 阶段自动编码器为复杂的时空动态的数据驱动阶段描述提供了一个强大的工具.
- 拟议的方法使反应扩散系统的有效同步成为可能.
- 这种方法对控制高维时空模式具有重大潜力.
相关概念视频
Three-Phase Short Circuit—Unloaded Synchronous Machine
679
Conducting a three-phase short circuit test on an unloaded synchronous machine helps understand its impact on the system. The AC fault current's oscillogram, with the DC offset removed, reveals that the waveform amplitude decreases from an initially high value to a steady-state level for one phase of the machine.
This behavior occurs due to the magnetic flux produced by the short-circuit armature currents. Initially, these currents follow high-reluctance paths but eventually shift to...
This behavior occurs due to the magnetic flux produced by the short-circuit armature currents. Initially, these currents follow high-reluctance paths but eventually shift to...
679
Phase Transitions
22.7K
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...
22.7K
Phase Diagrams
49.0K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
49.0K
Simplified Synchronous Machine Model
754
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...
754
Fixed Action Patterns
17.5K
A fixed action pattern (FAP) is a specific, hard-wired sequence of behaviors that occurs in response to an external stimulus, called a sign stimulus. The behavior is “fixed” because it is essentially unchangeable—proceeding similarly across individuals of a species every time it occurs.
17.5K
Inductance: Single-Phase And Three-Phase Line
614
Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
614


