在异临床网络上的非马科夫过程.
Gray Manicom1, Vivien Kirk1, Claire Postlethwaite1
1Department of Mathematics, The University of Auckland, Auckland 1142, New Zealand.
Chaos (Woodbury, N.Y.)
|March 12, 2024
概括
这项研究探讨了异常临床网络中噪声诱导的升起如何影响马尔科夫链动态. 我们分析了升起效应的持久性,并提出了确定马尔科夫链顺序和过渡概率的方法.
科学领域:
- 动态系统和混沌理论
- 随机过程 随机过程
- 计算神经科学是一种神经科学.
背景情况:
- 异临床网络具有通过轨迹连接的平衡.
- 噪音可以诱导诸如"起飞"等影响状态转换的现象.
- 参观的顺序可以作为一个随机过程来建模.
研究的目的:
- 调查一起飞对后续动态的影响.
- 确定关联的马尔科夫状态链的顺序.
- 计算马尔科夫链的过渡概率.
主要方法:
- 审查和扩展巴赫廷的方法,以动力学与噪音.
- 分析跨的升起效应的持续性.
- 开发一种方法来找到马尔科夫链次序的下限.
- 数字模拟各种噪声振幅的结果.
主要成果:
- 在一个子上升起可以影响下一个子的动态.
- 确定了升空效应持续存在的条件.
- 提出了一种限制马尔科夫链条顺序的方法.
- 数字模拟验证了理论预测的噪音水平.
结论:
- 升起是影响异临床网络中状态序列的马科维或非马科维性质的关键现象.
- 该研究提供了分析和预测这些系统在噪音下行为的工具.
- 了解这些动态对于诸如计算神经科学等领域的应用至关重要.
相关概念视频
Cyclic Processes And Isolated Systems
2.8K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.8K
Reversible and Irreversible Processes
4.2K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.2K
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
Transmission-Line Differential Equations
292
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
292
BIBO stability of continuous and discrete -time systems
395
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
395
Isochoric and Isobaric Processes
3.5K
A thermodynamic process that occurs at constant volume is called an isochoric process. According to the first law of thermodynamics, heat supplied or removed from the system is partially utilized to perform work and change the internal energy of the system. However, in an isochoric process, the volume remains constant. Hence, the work done by the system is zero. Therefore, the exchange of heat changes the internal energy of the system only.
Suppose 1000 g of water is heated from 40...
Suppose 1000 g of water is heated from 40...
3.5K


