H G E Hentschel,Itamar Procaccia
H G E Hentschel
The response of amorphous solids to mechanical loads is accompanied by plasticity that is generically associated with "non-affine" quadrupolar events seen in the resulting displacement field. To develop a continuum theory, one needs to asse...
Turing instability analysis and parameter identification based on optimal control and statistics method for a rumor propagation system [0.03%]
基于最优控制和统计方法的谣言传播系统的图灵不稳定性分析与参数识别
Bingxin Li,Linhe Zhu
Bingxin Li
This study establishes a reaction-diffusion system to capture the dynamics of rumor propagation, considering two possibilities of contact transmission. The sufficient and necessary conditions for a positive equilibrium point are provided, a...
Complexified synchrony [0.03%]
复现同步现象
Seungjae Lee,Lucas Braun,Frieder Bönisch et al.
Seungjae Lee et al.
The Kuramoto model and its generalizations have been broadly employed to characterize and mechanistically understand various collective dynamical phenomena, especially the emergence of synchrony among coupled oscillators. Despite almost fiv...
Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators [0.03%]
一对对称耦合的Koper振子中由折叠节点产生的强对称性破缺节律
Irving R Epstein,Naziru M Awal,Tasso J Kaper et al.
Irving R Epstein et al.
The Koper model is a prototype system with two slow variables and one fast variable that possesses small-amplitude oscillations (SAOs), large-amplitude oscillations (LAOs), and mixed-mode oscillations (MMOs). In this article, we study a pai...
Integrated information decomposition unveils major structural traits of in silico and in vitro neuronal networks [0.03%]
整合信息分解揭示了神经网络中的主要结构特征
Gustavo Menesse,Akke Mats Houben,Jordi Soriano et al.
Gustavo Menesse et al.
The properties of complex networked systems arise from the interplay between the dynamics of their elements and the underlying topology. Thus, to understand their behavior, it is crucial to convene as much information as possible about thei...
Lyapunov functionals for a general time-delayed virus dynamic model with different CTL responses [0.03%]
一般时滞病毒动力学模型的不同CTL响应的李雅普诺夫泛函
Ke Guo,Songbai Guo
Ke Guo
A time-delayed virus dynamic model is proposed with general monotonic incidence, different nonlinear CTL (cytotoxic T lymphocyte) responses [CTL elimination function pyg1(z) and CTL stimulation function cyg2(z)], and immune impairment. Inde...
M Eslami,E Taati,R Kheradmand et al.
M Eslami et al.
Vortex mediated turbulence can be the key element in the generation of extreme events in spatially extended lasers with optical injection. Here, we study the interplay of vortex mediated turbulence and cavity solitons on the onset of extrem...
Hybrid finite-amplitude periodic modes for two uniformly magnetized spheres [0.03%]
两个均匀磁化的球的混合有限幅周期模式
P Mitchell Carter,Boyd F Edwards
P Mitchell Carter
We analyze a system of two uniformly magnetized spheres, one fixed and the other free to slide in frictionless contact with the surface of the first. The centers of the two magnets, and their magnetic moments, are restricted to a plane. We ...
Fractal structures in the chaotic advection of passive scalars in leaky planar hydrodynamical flows [0.03%]
漏槽平面流体动力学流动中混沌输运的被动标量的分形结构
Ricardo L Viana,Amanda C Mathias,Leonardo C Souza et al.
Ricardo L Viana et al.
The advection of passive scalars in time-independent two-dimensional incompressible fluid flows is an integrable Hamiltonian system. It becomes non-integrable if the corresponding stream function depends explicitly on time, allowing the pos...
Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dissipative dynamics [0.03%]
反应扩散系统中类游荡波的出现：确定性耗散动力学产生的随机输出
Edgar Knobloch,Arik Yochelis
Edgar Knobloch
Rogue waves are an intriguing nonlinear phenomenon arising across different scales, ranging from ocean waves through optics to Bose-Einstein condensates. We describe the emergence of rogue wave-like dynamics in a reaction-diffusion system t...