Rohit Juneja,Amita Das,Trishul Dhalia et al.
Rohit Juneja et al.
The absorption of laser energy by plasma is of paramount importance for various applications. Collisional and resonant processes are often invoked for this purpose. However, in some contexts (e.g., in vacuum [Brunel, Phys. Rev. Lett. 59, 52...
Collective fluctuations in the finite-size Kuramoto model below the critical coupling: Shot-noise approach [0.03%]
有限尺寸Kuramoto模型临界耦合以下的集体波动：突发噪声方法
S Yu Kirillov,V V Klinshov
S Yu Kirillov
The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodynamic limit. However, real-world systems are finite, and thei...
Robin Delabays,Philippe Jacquod
Robin Delabays
We investigate species-rich mathematical models of ecosystems. While much of the existing literature focuses on the properties of equilibrium fixed-points, persistent dynamics (e.g., limit cycles or chaos) have also been observed, both in n...
Gisela D Charó,Denisse Sciamarella,Juan Ruiz et al.
Gisela D Charó et al.
Templexes are topological objects that encode the branching organization of a flow in phase space. We build on these objects to introduce the concept of topological modes of variability (TMVs). TMVs are defined as dynamical manifestations o...
Quantization induced memory-nonlinearity transfer: Implications of analog-to-digital conversion in reservoir computing [0.03%]
量化诱导的记忆非线性转移：忆阻器计算中模数转换的启示
Max Austin,Kohei Nakajima
Max Austin
The output-side behaviors of typical digital computing systems, such as simulated neural networks, are generally unaffected by the act of observation; however, this is not the case for the burgeoning field of physical reservoir computers (P...
The random matrix-based informative content of correlation matrices in stock markets [0.03%]
基于随机矩阵的相关矩阵的股票市场信息内容
Laura Molero González,Roy Cerqueti,Raffaele Mattera et al.
Laura Molero González et al.
Studying and comprehending the eigenvalue distribution of the correlation matrices of stock returns is a powerful tool to delve into the complex structure of financial markets. This paper deals with the analysis of the role of eigenvalues a...
Ion Santra,Kristian Stølevik Olsen
Ion Santra
We investigate the impact of intermittent energy injections on a Brownian particle, modeled as stochastic renewals of its kinetic energy to a fixed value. Between renewals, the particle follows standard underdamped Langevin dynamics. For en...
Analysis of influencing factors and the most probable transition pathway in the narrow escape problem for molecular systems based on deep learning method [0.03%]
基于深度学习方法的分子体系狭义逃逸问题影响因素分析及最可能跃迁路径研究
Jiangyan Liu,Ming Yi,Ting Gao et al.
Jiangyan Liu et al.
This study employs physics-informed neural networks (PINNs) to investigate the narrow escape problem in irregular domains, aiming to understand how key parameters influence molecular escape behavior and to analyze the most probable transiti...
Minimal deterministic echo state networks outperform random reservoirs in learning chaotic dynamics [0.03%]
最小的确定性回声状态网络在学习混沌动力学方面优于随机生成的库网络
F Martinuzzi
F Martinuzzi
Machine learning (ML) is widely used to model chaotic systems. Among ML approaches, echo state networks (ESNs) have received considerable attention due to their simple construction and fast training. However, ESN performance is highly sensi...
Lag-mediated control of explosive synchronization transitions in adaptive multilayer networks with higher-order interactions [0.03%]
时滞介导的适应性高阶多层网络中爆炸同步相变的控制
Richita Ghosh,Md Sayeed Anwar,Manish Dev Shrimali et al.
Richita Ghosh et al.
Recent findings suggest that higher-order (group) interactions provide a general pathway to explosive phenomena in networks of coupled oscillators. While these abrupt, first-order transitions, termed explosive synchronization, are of signif...