Turnstile flux as a measure for chaotic transport in magnetic confinement fusion devices [0.03%]
磁约束聚变装置中用于混沌输运的turnstile通量测量方法
C B Smiet,L Rais,J Loizu et al.
C B Smiet et al.
We analyze a measure for the degree of chaos in the magnetic fields of magnetic confinement fusion reactors by calculating the lobe fluxes of turnstiles-a method developed for characterizing transport into and out of resonance zones in Hami...
Dawid Dudkowski,Tomasz Kapitaniak
Dawid Dudkowski
In this paper, we uncover the phenomenon of synchronization of coupled spring pendula. The model is based on two self-excited nodes with varying lengths (elastic elements), suspended on the horizontally oscillating support. We determine the...
Lyapunov exponents estimation via automatic differentiation: A modern approach inspired by machine learning [0.03%]
基于自动微分的李雅普诺夫指数估计：一种受机器学习启发的方法
Marek Balcerzak,S Leo Kingston
Marek Balcerzak
Automatic Differentiation (AD) is a powerful technique for computing derivatives of functions defined by code and serves as the workhorse of modern machine learning. In this paper, we leverage AD for the estimation of Lyapunov exponents, a ...
Training stiff neural ordinary differential equations with explicit rational Taylor series methods [0.03%]
用显式有理泰勒级数法训练刚性的神经普通微分方程
Colby Fronk,Linda Petzold
Colby Fronk
We introduce a new approach for directly training stiff neural ordinary differential equations using explicit rational Taylor series methods. These explicit schemes, of second and third order, are A-stable and require only a single linear s...
Elizabeth Bradley,Adilson E Motter,Louis M Pecora
Elizabeth Bradley
Nonlinear science has evolved significantly over the 35 years since the launch of the journal Chaos. This Focus Issue, dedicated to the 80th Birthday of its founding editor-in-chief, David K. Campbell, brings together a selection of contrib...
Hypergraph representation of multilayer brain network enhances autism spectrum disorder detection [0.03%]
脑网络的超图表示增强了自闭症谱系障碍的检测能力
Elena Pitsik,Semen Kurkin,Olga Martynova et al.
Elena Pitsik et al.
We present a hypergraph-based framework for analyzing functional brain networks in children with autism spectrum disorder (ASD) using resting-state electroencephalography data. Moving beyond conventional multilayer network approaches, our m...
Junen Jia,Guodong Ren,Chunni Wang
Junen Jia
In this paper, a novel functional neural circuit model is proposed without embedding capacitors in the branch circuit, and the setting breaks the design limitation of traditional capacitor-based neural circuits. By replacing the capacitor w...
Evolution of cooperation under a time-varying peer pressure model in complex networks [0.03%]
复杂网络中基于时间变化的同伴压力模型下的合作演化问题
Lili Ma,Zhao Su,Peng Lin et al.
Lili Ma et al.
In this paper, based on the traditional prisoner's dilemma model, we introduce time-varying peer pressure and verify the enhancing effect of this time-varying peer pressure model on cooperation in different types of networks. We decompose p...
Editorial: From sand to shrimps: A tribute to Professor Jason A. C. Gallas [0.03%]
从沙到虾——献给贾斯汀·加拉斯教授的一篇评述文章
Marcus W Beims,Pedro G Lind
Marcus W Beims
This Focus Issue is a tribute to Jason A. C. Gallas and his outstanding career as a scientist. Gallas coined the term "shrimps" to name ubiquitous structures found in parameter space, and which are now known to exist in many nonlinear syste...
Dynamic analysis of stochastic modeling of tumor-macrophage interactions incorporating multiplicative and additive noises [0.03%]
结合乘性噪声和加性噪声的肿瘤巨噬细胞相互作用的随机建模的动力学分析
Han Ma,Ke Qi,Yuyang Xiao et al.
Han Ma et al.
In this study, we investigate the dynamic mechanisms of tumor progression in response to fluctuations and uncertainties within the tumor-immune microenvironment. Utilizing temporal single-cell data, we develop a novel stochastic reaction-co...