Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models [0.03%]
耦合4D分数阶微分系统的动力学分析及解及其在海洋-大气模型预测极限量化中的应用
Xiaoyu Chen,Hongtao Fan,Yajing Li
Xiaoyu Chen
For coupled two-dimensional fractional differential systems, a new two-step fractional-order Runge-Kutta method is proposed in this paper, which can reach a convergence order of 2α, with α being the fractional-order number. Further, we ex...
Tale of one emergent game: Opinion formation in dynamical undirected hypergraphs [0.03%]
一种新兴游戏的故事：动态无向超图中的意见形成故事
Yakun Wang,Yuan Liu,Bin Wu
Yakun Wang
Opinion dynamics in dynamical hypergraphs, mirroring the dynamical nature of high-order social interactions, are attracting increasing attention. Opinion dynamics on high-order interactions lead to non-trivial dynamical patterns compared wi...
Distinguishing dynamical regimes in a semiconductor laser with optical feedback by using event-detection methods [0.03%]
利用事件检测方法区分具有光学反馈的半导体激光器的动力学制度
María Duque-Gijón,Cristina Masoller,Jordi Tiana-Alsina
María Duque-Gijón
In semiconductor lasers, optical feedback generates different types of oscillations in the time trace of the emitted intensity. Depending on the laser and feedback parameters, the emission regimes can be of three main types: stable emission...
Janusz M Meylahn
Janusz M Meylahn
We develop a method for quantifying the likelihood of observing collusive strategies among provably convergent decentralized multiagent reinforcement learning algorithms in a pricing setting. This is necessary to accurately assess the threa...
Dynamic analysis of a generalized attention deficit disorder model with Soboleva activation functions [0.03%]
具有Sobolev激活函数的广义注意力缺陷障碍模型的动力学分析
L Moysis,M Lawnik,K F Kollias et al.
L Moysis et al.
This work studies a modified chaotic neural network model consisting of two neurons for modeling attention deficit disorder. Considering an existing one-dimensional model from the literature, its two activation functions are replaced by the...
Serena Brianzoni,Giovanni Campisi
Serena Brianzoni
This paper presents a multi-market model consisting of two distinct financial markets with one risky asset. The model assumes that each market is populated by two types of interacting traders: fundamentalists and cross-sectional momentum tr...
Manaswini Jella,Induja Pavithran,Vishnu R Unni et al.
Manaswini Jella et al.
Critical transitions in complex systems pose challenges for the healthy functioning of natural and engineered systems, sometimes with catastrophic outcomes. These critical points, where small changes cause large regime shifts, are difficult...
Spontaneous symmetry and antisymmetry breaking in a ring with two potential barriers [0.03%]
含两个势垒环形结构中的自发对称和反对称破缺现象研究
Hidetsugu Sakaguchi,Boris A Malomed,T J Taiwo
Hidetsugu Sakaguchi
We propose a fundamental setup for the realization of spontaneous symmetry breaking (SSB) and spontaneous antisymmetry breaking (SASB) in the framework of the nonlinear Schrödinger equation with the self-attractive or repulsive cubic term,...
Statistics for differential topological properties between datasets with an application to reservoir computers [0.03%]
用于水库计算机的一个应用程序：具有差异拓扑属性的数据库统计学
Louis Pecora,Thomas Carroll
Louis Pecora
Recording (multidimensional) time series from dynamical systems in experiments or numerical studies on coupled systems is common. In many cases, we want to find relationships between systems or subsystems, but multidimensional data prevent ...
Niklas Manz,Zachary Rewinski,Fazly Ataullakhanov et al.
Niklas Manz et al.
The now generally accepted eponym "Belousov-Zhabotinsky reaction" for a specific type of chemical nonlinear system was not used immediately. It evolved over time from the simple name "Belousov reaction" through combinations using one, two, ...