Chaos, Solitons and Fractals: X

Yudai Fujimoto

Madhur Mangalam

Ken Kiyono

Chaos Solitons & Fractals X

Enhanced scaling crossover detection in long-range correlated time series

长程相关时间序列中增强的标度交叉检测

Alessandro Fiasconaro

Michele Migliore

Effects of synapse location, delay and background stochastic activity on synchronising hippocampal CA1 neurons

突触位置、延迟及背景随机活动对同步海马CA1神经元的影响

From the Diagram Accuracy-Deviation and the new quantifier of chaos, this paper presents time series analysis for historical prices, volatilities and returns. The study cases are financial price series of United States Brent Oil (BNO), Wipro Limited (WIT), Nasdaq, Inc. (NDAQ) and SPDR S&P 500 ETF (SPY). Detection of chaos and randomness cover the period from November 2010 to November 2018. This work introduces the chaoticity in the Lorenz's sense, a new measure for comparison between time series. The set of results enlights the underlying dynamics of the time evolution observed in economic indexes nowadays.

P.R.L. Alves

Chaos in historical prices and volatilities with five-dimensional euclidean spaces

历史价格与波动性中的混沌现象：基于五维欧几里得空间的研究

We introduce a quantum superconducting metamaterial design constituted of flux qubits that operate as artificial atoms and analyze the dynamics of an injected electromagnetic pulse in the system. Qubit-photon interaction affects dramatically the nonlinear photon pulse propagation. We find analytically that the well known atomic phenomenon of self induced transparency may occur in this metamaterial as well and may lead to significant control over the optical pulse propagating properties. Specifically, the pulse may be slowed down substantially or even be stopped. These pulse properties depend crucially on the inhomogeneous broadening of the levels of the artificial atoms.

Zoran Ivić

Nikos Lazarides

G.P. Tsironis

Self-induced transparency in a flux-qubit chain

磁通量子比特链中的自感透明现象

In Network Science, node neighbourhoods, also called ego-centered networks, have attracted significant attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this paper, we show how, given two nodes with the same clustering coefficient, the topology of their neighbourhoods can be significantly different, which demonstrates the need to go beyond this simple characterization. We perform a large scale statistical analysis of the topology of node neighbourhoods of real networks by first constructing their clique complexes, and then computing their Betti numbers. We are able to show significant differences between the topology of node neighbourhoods of real networks and the stochastic topology of null models of random simplicial complexes revealing local organisation principles of the node neighbourhoods. Moreover we observe that a large scale statistical analysis of the topological properties of node neighbourhoods is able to clearly discriminate between power-law networks, and planar road networks.

Alexander P. Kartun-Giles

Ginestra Bianconi

Beyond the clustering coefficient: A topological analysis of node neighbourhoods in complex networks

超越聚类系数：复杂网络中节点邻域的拓扑分析

Nikola Petrović

Milivoj Belić

Wieslaw Krolikowski

Solitary and traveling wave solutions to nematic liquid crystal equations using Jacobi elliptic functions

使用雅可比椭圆函数求解向列液晶方程的孤立波和行波解

The generation of high-order rogue waves (RWs) without the exact solution is an intriguing subject that has not yet been fully explored, especially for the third-order RWs. In this paper, we investigate the collision dynamics in a three-component Bose–Einstein condensate (BEC), and propose a scheme capable of generating such high-order RWs, such as second- and third-order RWs. The results show that the peaks of the three first-order RWs coincide in time and space when the third-order RWs are excited during the collision. Furthermore, by controlling the offsets of initial wavepackets and intraspecific interaction coefficients within the BEC, the collision behavior of RWs can be precisely manipulated. Compared to two-component BECs, these three-component collisions exhibit more diverse structures for exciting RW phenomena.

Feilong He

Xiao-Dong Bai

Tiantian Li

Jin-Cui Zhao

A high-order rogue wave generated by collision in three-component Bose–Einstein condensates

三组分玻色-爱因斯坦凝聚体中碰撞产生的高阶怪波

The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time stability, which extends existing criteria and builds upon previous discoveries. Following this, we design effective state-dependent linear controllers. By utilizing a Lyapunov function, we derive new sufficient conditions to ensure finite-time synchronization within a predefined time frame. Lastly, we present numerical simulations to demonstrate the applicability and effectiveness of the proposed technique.

Iqbal M. Batiha

Osama Ogilat

Issam Bendib

Adel Ouannas

Iqbal H. Jebril

Nidal Anakira

Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations

分数阶传染病模型的有限时间动力学：稳定性、同步性与仿真研究

ISSN	2590-0544
h-index	11

Publication Information	Publisher: Elsevier Ltd，Publishing cycle: ，Journal Type: journal，Open Access Journals: Yes
Basic data	Year of publication: 2019，Proportion of original research papers: 0.00%，Self Citation Rate:N.A.， Gold OA Rate: 0.00%
Journal Fees	$1730Details
Average review cycle	网友分享经验：20 Weeks

Chaos, Solitons and Fractals: X

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Enhanced scaling crossover detection in long-range correlated time series

Effects of synapse location, delay and background stochastic activity on synchronising hippocampal CA1 neurons

Chaos in historical prices and volatilities with five-dimensional euclidean spaces

Self-induced transparency in a flux-qubit chain

Beyond the clustering coefficient: A topological analysis of node neighbourhoods in complex networks

Enhanced scaling crossover detection in long-range correlated time series

Effects of synapse location, delay and background stochastic activity on synchronising hippocampal CA1 neurons

Solitary and traveling wave solutions to nematic liquid crystal equations using Jacobi elliptic functions

A high-order rogue wave generated by collision in three-component Bose–Einstein condensates

Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations