Quaternion Julia sets reimagined: The Garodia-Uddin iteration approach [0.03%]
四元数朱利亚集的再想象：加罗迪亚-乌丁迭代方法
Krzysztof Gdawiec,Yan G S Dos Santos,Ricardo Fariello
Krzysztof Gdawiec
In recent years, significant research has been conducted on using various iteration schemes derived from fixed-point theory to generate Mandelbrot and Julia sets in the complex space. Building on these advancements, this work explores the a...
The impact of historical-behavior-based asymmetric reputation and deposit mechanisms on the evolutionary spatial public goods game [0.03%]
基于历史行为的不对称信誉和押金机制对演化空间公共物品博弈的影响分析
Qingyi Chen,Xiangyue Peng,Hongwei Kang et al.
Qingyi Chen et al.
In the context of interpersonal interactions in human society, reputation serves as an important indicator for evaluating an individual's behavior. Typically, low-reputation individuals are required to face additional constraints before tak...
Structure-function coupling reveals the excitation-inhibition imbalance in autism spectrum disorder: A perspective from large-scale whole-brain network modeling [0.03%]
结构功能耦合揭示了自闭症谱系障碍中的兴奋抑制失衡：来自大规模全脑网络建模的视角
Youyou Si,Honghui Zhang
Youyou Si
Excitation-inhibition (E-I) imbalance is a core pathological mechanism in autism spectrum disorder (ASD). However, current research on how E-I balance changes in ASD remains highly controversial. In this study, we integrate structural and f...
From homogeneity to heterogeneity: Topologically reconfigurable multi-cavity attractors in memristive chaotic maps [0.03%]
从均匀性到非均匀性：忆阻混沌映射中拓扑可重构的多腔吸引子
Jin Liu,Kehui Sun,Huihai Wang
Jin Liu
In recent years, multi-cavity attractors have emerged as a focal point in chaotic dynamics research. However, previous studies have predominantly focused on homogeneous multi-cavity attractors, where all cavities share identical topological...
Higher-order interactions, adaptivity, and phase transitions in a novel reservoir computing model [0.03%]
一种新型库计算模型中的高阶相互作用、自适应性和相变
Anastasiia A Emelianova,Oleg V Maslennikov,Vladimir I Nekorkin
Anastasiia A Emelianova
We propose a novel reservoir neural network model that incorporates key properties of brain neural ensembles, including adaptivity, higher-order interactions among units, and the presence of a phase transition, which allows "edge-of-chaos c...
Yasutoshi Nagahama,Kosuke Miyazato,Kazuhiro Takemoto
Yasutoshi Nagahama
This study investigates perturbation strategies inspired by adversarial attack principles from deep learning, designed to control synchronization dynamics through strategically crafted weak perturbations. We propose a gradient-based optimiz...
Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm [0.03%]
非马尔可夫量子开放系统中的量子混沌：干涉OTOCS、洛奇密特回声与交换算符范数
Baibhab Bose,Devvrat Tiwari,Subhashish Banerjee
Baibhab Bose
Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate the OTOC and analyze the quantum information scrambling in atom-field and sp...
Intermittent synchronization in non-weakly coupled piecewise-linear expanding map lattice: A geometric-combinatorial approach [0.03%]
分段线性扩张映射格中的非弱耦合间的同步：几何组合方法
Junke Zhang,Yiqian Wang
Junke Zhang
Coupled (chaotic) map lattices (CMLs) characterize the collective dynamics of a spatially distributed system whose local units are linked either locally or globally. Previous research on the dynamical behavior of CMLs, based primarily on th...
Stochastic bifurcation and safety basin study of nonlinear vibration systems in Li-doped graphene nanoplates with time delays [0.03%]
掺锂石墨烯纳米板非线性振动系统的随机分岔及安全盆地研究
Lu Cheng,Zhouchao Wei,Zaitang Huang et al.
Lu Cheng et al.
From the perspective of nonlinear vibration systems in graphene nanoplates, chaos, safe basins, and stochastic bifurcations are three crucial indicators for assessing stability. This study analyzes the Li-doped graphene nanoplates' chaos in...
Multi-mechanism driven geometric control of discrete memristive dual-neuron HNN: Modulation analysis and hardware implementation [0.03%]
基于多机制的离散忆阻双神经元HNN几何调控：调制分析及硬件实现
Yuke Tang,Tingkai Zhao,Xiaosheng Feng et al.
Yuke Tang et al.
In recent years, the dynamical modulation mechanisms of discrete memristive Hopfield neural networks (HNNs) have received much attention. In this paper, a four-dimensional discrete Hopfield neural network model (4DMCHNN) based on the crosst...