Overcoming feature scarcity in complex system prediction: An alternative delay embedding [0.03%]
克服复杂系统预测中的特征稀缺性：一种替代的延迟嵌入方法
Tao Wu,Ying Tang,Kazuyuki Aihara
Tao Wu
Predicting the future dynamics of complex systems remains challenging in scientific research. Traditional methods generally approach this issue by approximating the correlations between predictors (features) and target variables, often empl...
Hierarchical clustering in mean-field coupled Stuart-Landau oscillators [0.03%]
平均场耦合Stuart-Landau振子中的层次聚类现象
Nicolas Thomé,Matthias Wolfrum,Katharina Krischer
Nicolas Thomé
Clustered solutions in oscillator networks provide an important insight into how a system might diversify from a synchronous solution into spatiotemporal complex solutions. They can, therefore, form a link between the fully synchronized and...
Numerical pricing of European options under time-fractional Black-Scholes equation in financial markets [0.03%]
金融市场中时间分数阶Black-Scholes方程的欧式期权数值定价方法研究
Arvind Kumar Mishra,Lalchand Verma,Omid Nikan et al.
Arvind Kumar Mishra et al.
The time-fractional Black-Scholes model (TFBSM) incorporating a Caputo derivative operator is developed to analyze price dynamics in fractal market systems with correlated fluctuations. This paper focuses on developing a numerical approach ...
Using unstable periodic orbits to understand blocking behavior in a low order land-atmosphere model [0.03%]
利用不稳定周期轨道理解低阶陆-气耦合模型中的阻塞行为
Oisín Hamilton,Jonathan Demaeyer,Michel Crucifix et al.
Oisín Hamilton et al.
Unstable Periodic Orbits (UPOs) were used to identify regimes, and transitions between regimes, in a reduced-order coupled atmosphere-land spectral model. In this paper, we describe how the chaotic attractor of this model was clustered usin...
Task-specific node pruning enhances computational efficiency of reservoir computing networks [0.03%]
任务特定节点剪枝可提升类脑计算联想记忆网络的计算效率
Manish Yadav,Merten Stender
Manish Yadav
The relationship between a reservoir network structure and the overall performance of a reservoir computer remains an unanswered question, particularly when searching for an optimal yet small network. In this study, we introduce a systemati...
Multiple coexisting attractors and self-organized distribution of periodicity in a three-dimensional system [0.03%]
三维系统中的多重共存吸引子及其周期的自组织分布现象
Sarbari Karmakar,Nikhil Pal
Sarbari Karmakar
In chemical reactions, autocatalator models hold a significant place for exhibiting different kinds of complex dynamical features. The present study focuses on the dynamical characterization of a three-variable autocatalator model in a para...
Stability of uniformly incoherent state in the D-dimensional generalized Kuramoto model [0.03%]
广义D维Kuramoto模型中均匀无相位同步态的稳定性
Xiaoting Zhang,Wei Zou
Xiaoting Zhang
In this paper, we are devoted to theoretically analyzing the stability of the completely incoherent state in the D-dimensional generalized Kuramoto model within the same one framework, where a completely incoherent state refers to that all ...
Economic collapse under epidemic-induced lockdowns and its prediction: A coupled dynamics approach [0.03%]
疫情封锁下的经济崩溃及其预测：一个耦合动力学方法
Sudipta Panda,Sagar Karmakar,Abhijnan Chattopadhyay et al.
Sudipta Panda et al.
The sudden outbreak of an epidemic poses a significant challenge to alleviating global poverty. To suppress the epidemic, governments impose restrictions on social and economic activities. While most studies discuss the indirect impact of s...
Wanting Xu,Jinqian Feng,Jin Su et al.
Wanting Xu et al.
The Fokker-Planck (FP) equation governs the probabilistic response of diffusion processes driven by stochastic differential equations (SDEs). Gaussian mixture models and deep learning solvers are two state-of-the-art methods for solving the...
Dynamics of a quartic Korteweg-de Vries equation with multiple dissipations via an Abelian integral approach [0.03%]
具有多个耗散项的四次KdV方程的动力学行为研究
Xianbo Sun,Mingji Zhang
Xianbo Sun
We analyze both solitary and periodic wave solutions of a quartic Korteweg-de Vries (KdV) equation that incorporates multiple dissipative effects. The investigation primarily focuses on the dynamical behavior within a two-dimensional invari...