Qiaofeng Huang,Xuan Sun
Qiaofeng Huang
We primarily study concave-downward and convex-upward types of elliptic dark soliton solutions for the Hirota equation, exhibiting a concave-downward shape on both upper and lower envelope surfaces and showing a convex-upward shape on the l...
Computing chaotic time-averages from few periodic or non-periodic orbits [0.03%]
从少量周期或非周期轨道计算混沌时间平均值
Joshua L Pughe-Sanford,Sam Quinn,Teodor Balabanski et al.
Joshua L Pughe-Sanford et al.
For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Under strict assumptions, such as completeness of the orbit li...
On chaos with additional zero Lyapunov exponents and related effects. Overview and illustrations [0.03%]
具有附加零lyapunov指数的混沌及相关效应。概述与举例说明
A P Kuznetsov,I R Sataev,N V Stankevich et al.
A P Kuznetsov et al.
The problem of high-dimensional chaos with additional zero Lyapunov exponents is discussed. A review of both early and modern publications is presented. Specific examples of systems of different nature and model systems are considered. The ...
Robust oscillatory dynamics in a mixed population of excitable and self-oscillatory Izhikevich neurons: Influence of second-order linear and nonlinear interactions [0.03%]
Izhikevich神经元混合群体中的鲁棒振子动态行为：二阶线性和非线性作用的影响
Soorya Pp,Biswambhar Rakshit,Kazuyuki Aihara
Soorya Pp
In this study, we investigate robust oscillatory dynamics in an ensemble of excitable and self-oscillatory Izhikevich neurons subjected to higher-order interactions. Our findings reveal that, depending on the fraction of excitable neurons a...
Delayed feedback control and parameter continuation of multistability in a nonsmooth hydraulic rock drill model [0.03%]
液压岩石钻机模型的多重稳定性及其参数连续性与延迟反馈控制
Siyuan Chang,Wei Ma,Min Ye et al.
Siyuan Chang et al.
In response to the complex multistable behavior observed in hydraulic rock drills during the drilling process, this study first establishes a four-degree-of-freedom physical model based on dry friction rock mechanics theory. The motion traj...
Global patterns of extreme temperature teleconnections using climate network analysis [0.03%]
基于气候网络分析的极端温度相关性模式研究
Yuhao Feng,Jun Meng,Jingfang Fan
Yuhao Feng
Extreme weather events, rare yet profoundly impactful, are often accompanied by severe conditions. Increasing global temperatures are poised to exacerbate these events, resulting in greater human casualties, economic losses, and ecological ...
Discrete-space and -time analog of a super-diffusive fractional Brownian motion [0.03%]
超扩散分形布朗运动的离散时空模型
Enzo Marinari,Gleb Oshanin
Enzo Marinari
We discuss how to construct reliably well "a lattice and an integer time" version of super-diffusive continuous-space and -time fractional Brownian motion (fBm)-an experimentally relevant non-Markovian Gaussian stochastic process with an ev...
Topological data analysis approach to time series and shape analysis of dynamical system [0.03%]
时间序列和动力系统形状分析的拓扑数据分析方法
W Hussain Shah,S Rafia Fatima,G Huerta-Cuellar et al.
W Hussain Shah et al.
In a dynamical system, the time series and phase space play vital roles, and we applied topological data analysis to these characteristics. More precisely, we consider the well-known Rössler-like attractor to analyze time-series and phase-...
Raphaël Hardy,Paul Charbonneau,Andrew Cumming
Raphaël Hardy
Exoplanets known as hot Jupiters offer a unique testbed for the study of the magnetohydrodynamical thermoresistive instability. This instability arises when ohmic heating enhances the electrical conductivity in a positive feedback loop lead...
Optimal control for phase locking of synchronized oscillator populations via dynamical reduction techniques [0.03%]
降维方法在锁相同步振子中的最优控制问题研究
Narumi Fujii,Hiroya Nakao
Narumi Fujii
We present a framework for controlling the collective phase of a system of coupled oscillators described by the Kuramoto model under the influence of a periodic external input by combining the methods of dynamical reduction and optimal cont...