通过莱维噪声控制神经网络的时空动态
E Rybalova1, N Nikishina1, G Strelkova1
1Institute of Physics, Radiophysics and Nonlinear Dynamics Departament, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
Chaos (Woodbury, N.Y.)
|April 22, 2024
概括
附加的莱维噪声会影响神经网络的动态. 研究人员发现,莱维噪声可以通过调整噪声参数来控制菲茨休-纳古莫振荡器网络中的嵌合体和孤独状态.
科学领域:
- 计算神经科学是一种神经科学.
- 复杂系统动力学 复杂系统动力学
背景情况:
- 神经网络表现出复杂的时空动态,包括同步模式.
- 菲茨休-纳古莫振荡器是神经元活动的常见模型.
- 奇梅拉和孤独状态代表了合振荡器网络中独特的同步现象.
研究的目的:
- 研究添加式莱维噪声对非局部合的菲茨休-纳古莫振荡器网络的时空动态的影响.
- 了解莱维噪声如何影响现有的同步模式,如奇默和孤独状态.
- 探索通过莱维噪声参数控制网络动态的潜力.
主要方法:
- 非局部合的FitzHugh-Nagumo振荡器的数值模拟.
- 引入具有可变尺度和稳定性参数的添加式莱维噪声.
- 空间时空模式的分析,重点是喜梅拉和孤独状态.
主要成果:
- 莱维噪声会改变神经网络中同步模式的动态.
- 改变莱维噪声的规模和稳定性指数,可以有效控制网络动态.
- 引入莱维噪声可以促进嵌合体状态,同时在多稳定性体制中抑制单独状态.
- 降低稳定性参数会在单独状态上放大噪声效应,而在嵌合体状态上降低噪声效应.
结论:
- 附加的莱维噪声是影响神经网络时空动态的重要因素.
- 莱维噪声特征与网络参数之间的相互作用为控制复杂的新兴行为提供了一种机制.
- 这项研究提供了对神经系统中的噪音诱导现象的洞察力,以及对理解大脑动态的潜在应用.
相关概念视频
Propagation of Action Potentials
5.7K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
5.7K
Time-Domain Interpretation of PD Control
98
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
98
Linear time-invariant Systems
253
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...
253
Root Loci for Positive-Feedback Systems
118
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
The construction rules for the root locus in positive feedback systems are similar to those in...
118
Frequency-Domain Interpretation of PD Control
106
Proportional-Derivative (PD) controllers are widely used in fan control systems to improve stability and performance. A fan control system can be effectively represented using a Bode plot to illustrate the impact of a PD controller through its transfer function. The Bode plot visually conveys how PD control modifies the fan's response across various frequencies, providing a frequency domain interpretation of the controller's behavior.
The proportional control gain, combined with the...
The proportional control gain, combined with the...
106
Poisson's And Laplace's Equation
2.8K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.8K


