Chaos Solitons & Fractals最新文献_第5页

Statistical, simulation and modeling analysis of variability in memristors with single and bilayer dielectrics of HfO2 and Al2O3, a comparison

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-25 DOI: 10.1016/j.chaos.2025.116352

A. Cantudo , F. Jiménez-Molinos , P.Q. Ruiz , A. López , M.A. Villena , M.B. González , F. Campabadal , J.B. Roldán

{"title":"Statistical, simulation and modeling analysis of variability in memristors with single and bilayer dielectrics of HfO2 and Al2O3, a comparison","authors":"A. Cantudo , F. Jiménez-Molinos , P.Q. Ruiz , A. López , M.A. Villena , M.B. González , F. Campabadal , J.B. Roldán","doi":"10.1016/j.chaos.2025.116352","DOIUrl":"10.1016/j.chaos.2025.116352","url":null,"abstract":"<div><div>Variability is a key aspect of memristors that hinders their usage in massive commercial applications. This study investigates the cycle-to-cycle variability of resistive switching devices fabricated using three different dielectric configurations: two monolayer insulators (Al<sub>2</sub>O<sub>3</sub> or HfO<sub>2</sub>) or a HfO<sub>2</sub>/Al<sub>2</sub>O<sub>3</sub> bilayer. Thousands of resistive switching (RS) current-voltage (I-V) curves were measured under ramped voltage stress and the RS parameters were extracted using different numerical methodologies. The variability of the obtained RS parameters was analyzed using the conventional 1D coefficient of variation (σ/μ, where σ stands for the standard deviation and μ for the mean), as well as a recently introduced 2D coefficient of variation, providing a deeper insight into the joined variability of the switching voltages and currents.</div><div>An enhanced version of the Stanford compact model was employed to model the experimental I-V curves, in addition to an analysis based on a 3D circuit breaker (CB) simulator, which incorporates thermal effects for controlling the switching of the CB. These two modeling approaches successfully captured the observed RS behavior and variability trends along the thousands of measured cycles and for the three considered technologies. Furthermore, the simulation study sheds light on how the different thermal properties of the studied technologies impact on the conductive filament evolution.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116352"},"PeriodicalIF":5.3,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143695949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Percolation behavior analysis on multilayer edge-coupled Scale-Free interdependent networks

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116311

Yufeng Xie , Shiwen Sun , Yulan Huang , Jing Wang , Pei Ye

{"title":"Percolation behavior analysis on multilayer edge-coupled Scale-Free interdependent networks","authors":"Yufeng Xie , Shiwen Sun , Yulan Huang , Jing Wang , Pei Ye","doi":"10.1016/j.chaos.2025.116311","DOIUrl":"10.1016/j.chaos.2025.116311","url":null,"abstract":"<div><div>In recent years, the robustness of edge-coupled interdependent networks has been investigated and has attracted much attention from researchers in different fields. Currently, most research on edge-coupled interdependent networks focuses on two-layer systems with simpler RR or ER topologies. However, studies on multilayer edge-coupled interdependent Scale-Free networks are scarce. In this paper, we propose a multilayer edge-coupled interdependent SF network model and study the cascading fault propagation mechanism caused by attacking a small number of edges. The effect of coupling strength on the robustness of multilayer edge-coupled interdependent Scale-Free networks is also considered. Based on the fact that self-consistent probability theory can greatly simplify the mathematical analysis of such systems, the paper provides a theoretical analysis of the phase transition behavior. The research results help to deepen the understanding of the robustness of multilayer Scale-Free interdependent networks and provide some valuable suggestions for the protection and improvement of complex network systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116311"},"PeriodicalIF":5.3,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcations and dynamics of nonlinear excitations in twisted-bilayer optical lattices

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116314

Pingping Fang, Chao Gao, Ji Lin

{"title":"Bifurcations and dynamics of nonlinear excitations in twisted-bilayer optical lattices","authors":"Pingping Fang, Chao Gao, Ji Lin","doi":"10.1016/j.chaos.2025.116314","DOIUrl":"10.1016/j.chaos.2025.116314","url":null,"abstract":"<div><div>In nonlinear systems, the introduction of moiré lattice potentials significantly modifies the energy spectrum, giving rise to novel physical phenomena, such as the formation of flat bands and thus the rich local nonlinear structures. Furthermore, it is found that a deep moiré lattice leads to the degeneracy of Bloch eigenvalues. In this paper, we establish a fundamental relationship between the degeneracy of the Bloch eigenvalues and the spatial configurations of the solitons in a twisted-bilayer moiré lattice, revealing two primary bifurcation phenomena: (i) Solitons bifurcating from Bloch eigenstates. The norms of these solitons traverse narrow energy bands, revealing the existence of embedded solitons in the narrow bands. Detailed analysis is provided for solitons bifurcating from the edges of the first 5 Bloch bands. (ii) Vortex dipole states bifurcating from dipole solitons at a critical chemical potential. The bifurcated states inherit the instability of the original soliton. These results expand our understanding of nonlinear excitations in twisted-bilayer moiré lattice and highlight the critical role of Bloch band structures in shaping soliton patterns.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116314"},"PeriodicalIF":5.3,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hierarchy of three-component dark–bright–dark annular rogue waves

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116258

Jing Yang, Zezhou Chen, Yu Zhu, Wei Qin, Jitao Li

引用次数: 0

A class of two-dimensional offset-boostable chaotic maps

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116361

Wanning Yu , Chunbiao Li , Zhenglong Ding , Tengfei Lei , Tomasz Kapitaniak

引用次数: 0

Safe control of context-aware systems modeled by Boolean dynamics

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116308

Yuxiang Yan , Rongpei Zhou , Meng Li , Qiegen Liu , Xinzhi Liu

引用次数: 0

The exact solution of the composite fractional differential equation

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116288

Isaac Addai, Henry Kwasi Asiedu, Benedict Barnes

{"title":"The exact solution of the composite fractional differential equation","authors":"Isaac Addai, Henry Kwasi Asiedu, Benedict Barnes","doi":"10.1016/j.chaos.2025.116288","DOIUrl":"10.1016/j.chaos.2025.116288","url":null,"abstract":"<div><div>The result of the fractional derivative of a function which is the fractional differential equation, has been used to describe many physical phenomena such as composite fractional oscillation equation (CFOE), as it provides memory and hereditary properties of the CFOE. The solution of the CFOE is essential and is at the interest of every researcher. The numerical methods used in obtaining the solution of the CFOE are prone to errors and are time-consuming in terms of the number of iterations before the desired solution is obtained. However, the analytic methods provide the exact solution to the CFOE and additionally, serves as a benchmark for which numerical solution of the CFOE is compared to obtain reliable and good approximated solution. Surprisingly, no researcher has ever applied analytic method to obtain the exact solution of the CFOE. In this paper, both the Homotopy Analysis Method (HAM) and the Variational Iteration Method (VIM) are used to obtain the exact solution of the CFOE in a suitable functional space. In using the HAM, it is flexible to choose the value of the convergence control parameter to adjust the emanated series from the CFOE to converge to the exact solution. On the other hand, the VIM is endowed with the Lagrangian multiplier which facilitates the convergence of emanated series from the CFOE to the exact solution. In addition, it is established in this paper that the use of HAM requires fewer iterations for the series emanating from the CFOE to converge to the exact solution as compared with the use of VIM. With this observation, the HAM is easier and more efficient to use as compared with the VIM.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116288"},"PeriodicalIF":5.3,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlinear internal resonances of rotating twisted multilayer functionally graded graphene nanoplatelet-reinforced composite blades

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-24 DOI: 10.1016/j.chaos.2025.116340

Yan Niu , Renduo Song , Yuejuan Yang , Minghui Yao , Shaowu Yang , Qiliang Wu

{"title":"Nonlinear internal resonances of rotating twisted multilayer functionally graded graphene nanoplatelet-reinforced composite blades","authors":"Yan Niu , Renduo Song , Yuejuan Yang , Minghui Yao , Shaowu Yang , Qiliang Wu","doi":"10.1016/j.chaos.2025.116340","DOIUrl":"10.1016/j.chaos.2025.116340","url":null,"abstract":"<div><div>The nonlinear responses of primary resonance characteristics for the composite rotating blade are investigated in the presence of 1:2 internal resonance, where two primary resonance cases are considered, namely, the first mode and second mode being excited. The composite properties can be deduced via modified Halpin-Tsai micromechanics model and the rule of mixture. Lagrange formulation is employed in conjunction with Ritz procedure for the determination of the ordinary differential equations (ODEs). Then, modulation equations associated with two resonance relationships are obtained via the method of multiple scales for purpose of seeking steady state responses. Comparisons are conducted to demonstrate the accuracy of the proposed method. Bifurcations and chaotic dynamics are conducted in the form of double-parameter maps. Frequency response curves and force response curves are presented when one mode is excited. The influence of various parameters such as excitation amplitude and detuning parameter on nonlinear responses is assessed. The investigation illustrates the existence of softening, hardening and softening-hardening nonlinear resonance behaviors identified by jumping and the corresponding multiple value phenomena.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116340"},"PeriodicalIF":5.3,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

(k,s)-fractional integral operators in multiplicative calculus

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-23 DOI: 10.1016/j.chaos.2025.116303

Xiaohua Zhang , Yu Peng , Tingsong Du

引用次数: 0

Mathematical modeling of operation loop ratio and its effect in combat networks

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-23 DOI: 10.1016/j.chaos.2025.116318

Zhanfu Song , Zeyang Cao , Chengli Fan , Shengjie Xu , Dengxiu Yu

{"title":"Mathematical modeling of operation loop ratio and its effect in combat networks","authors":"Zhanfu Song , Zeyang Cao , Chengli Fan , Shengjie Xu , Dengxiu Yu","doi":"10.1016/j.chaos.2025.116318","DOIUrl":"10.1016/j.chaos.2025.116318","url":null,"abstract":"<div><div>This paper proposes a mathematical modeling of operation loop ratio (OLR) for assessing the importance of nodes within a combat network. Traditional models or indicators for evaluating node importance focus on the structural characteristics of a single node’s neighborhood, neglecting the supporting role of nodes in the overall performance of the network system during actual combat. Therefore, we propose the OLR to comprehensively consider the overall role of nodes in multi-layer combat networks and accurately rank the importance of all nodes. To verify the accuracy of the OLR model, we improved the combat network capability degradation model based on the aggregation of operation loops. In addition, we conduct a comprehensive correlation analysis between the proposed OLR model and several other indicators, and implement a prioritization strategy for node importance, these are to ensure the feasibility and scientific nature of the model. Finally, we conduct comprehensive quantitative experiments on four different scales of combat networks, and the results confirm the precision and effectiveness of the OLR model in assessing important nodes within combat networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116318"},"PeriodicalIF":5.3,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0