Communications in Nonlinear Science and Numerical Simulation最新文献_第5页

A high-static-low-dynamic-stiffness delayed resonator vibration absorber 高静态低动态刚度延迟谐振器减震器

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108299

{"title":"A high-static-low-dynamic-stiffness delayed resonator vibration absorber","authors":"","doi":"10.1016/j.cnsns.2024.108299","DOIUrl":"10.1016/j.cnsns.2024.108299","url":null,"abstract":"<div><p>Delayed resonator (DR), which enables complete vibration suppression through loop delay tuning, has been extensively investigated as a linear active dynamic vibration absorber since its invention. Besides, the nonlinear high-static-low-dynamic stiffness (HSLDS) has been widely used in vibration isolators for broadband (yet incomplete) vibration reduction. This work combines the benefits of DR and the nonlinear HSLDS characteristics, thus creating a nonlinear DR (NDR). Three unexplored topics are considered: (1). To address the nonlinear dynamics that are made complicated by the introduction of delay and the nonlinearity coupled between the NDR and the primary structure; (2). To tune the control parameters to seek possible complete vibration suppression in the nonlinear case, and accordingly, to determine the operable frequency band; (3). To evaluate how the HSLDS characteristics can enhance the performance of the linear DR (LDR) and how to design an NDR to maximize its benefits. Without loss of generality, a classic nonlinear HSLDS structure with three springs and two links is considered, and mathematical tools and computational algorithms are introduced or proposed to efficiently address theoretical analysis. Using the parameters of an experimental setup, we show that a properly tuned NDR suppresses the vibrations on the primary structure to a sufficiently low level. Besides, the HSLDS characteristics extend the operable frequency band compared with the LDR, while strong nonlinearity limits such extension. The proposed analysis procedures for delay-coupled nonlinear dynamics, alongside the control parameter tuning, determination of operable frequency bands, and structural design rules, establish a basic theoretical framework for the NDR design.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424004842/pdfft?md5=ce58dd0b376ffbdc466a75d4f4a0f181&pid=1-s2.0-S1007570424004842-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142157482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Is maximum tolerated dose (MTD) chemotherapy scheduling optimal for glioblastoma multiforme? 最大耐受剂量（MTD）化疗是否是多形性胶质母细胞瘤的最佳化疗方案？

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108292

引用次数: 0

Dynamical manifold dimensionality as characterization measure of chimera states in bursting neuronal networks 将动态流形维度作为突发性神经元网络中嵌合体状态的表征量度

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108321

{"title":"Dynamical manifold dimensionality as characterization measure of chimera states in bursting neuronal networks","authors":"","doi":"10.1016/j.cnsns.2024.108321","DOIUrl":"10.1016/j.cnsns.2024.108321","url":null,"abstract":"<div><p>Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example of such dynamics is partial synchronization, which may play a pivotal role in emergent behaviors of biological neural networks. Such emergent partial synchronization in structurally homogeneous networks is commonly denoted as chimera states. While several methods for detecting chimeras in networks of spiking neurons have been proposed, these are less effective when applied to networks of bursting neurons. In this study, we propose the correlation dimension as a novel approach that can be employed to identify dynamic network states. To assess the viability of this new method, we study networks of intrinsically bursting Hindmarsh–Rose neurons with non-local connections. In comparison to other measures of chimera states, the correlation dimension effectively characterizes chimeras in burst neurons, whether the incoherence arises in spikes or bursts. The generality of dimensionality measures inherent in the correlation dimension renders this approach applicable to a wide range of dynamic systems, thereby facilitating the comparison of simulated and experimental data. This methodology enhances our ability to tune and simulate intricate network processes, ultimately contributing to a deeper understanding of neural dynamics.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424005069/pdfft?md5=51087b1c29f40d1a1753d619cce18fa2&pid=1-s2.0-S1007570424005069-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142171844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Two-level Arrow–Hurwicz iteration methods for the steady bio-convection flows 稳定生物对流的两级箭-赫维茨迭代法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-27 DOI: 10.1016/j.cnsns.2024.108318

{"title":"Two-level Arrow–Hurwicz iteration methods for the steady bio-convection flows","authors":"","doi":"10.1016/j.cnsns.2024.108318","DOIUrl":"10.1016/j.cnsns.2024.108318","url":null,"abstract":"<div><p>To avoid solving a saddle-point system, in this paper, we study two-level Arrow–Hurwicz finite element methods for the steady bio-convection flows problem which is coupled by the steady Navier–Stokes equations and the steady advection–diffusion equation. Using the mini element to approximate the velocity, pressure, and the piecewise linear element to approximate the concentration, we use the linearized Arrow–Hurwicz iteration scheme to obtain the coarse mesh solution and use three different one-step Stokes/Oseen/Newton linearized scheme to obtain the fine mesh solution. The optimal error estimate <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>h</mi><mo>+</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>χ</mi></mrow><mrow><mi>m</mi><mo>/</mo><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> of the velocity and concentration in the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm and the pressure in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm are derived, where <span><math><mi>h</mi></math></span> and <span><math><mi>H</mi></math></span> are fine and coarse mesh sizes, respectively, and <span><math><msup><mrow><mi>χ</mi></mrow><mrow><mi>m</mi><mo>/</mo><mn>2</mn></mrow></msup></math></span> denotes the iteration error with <span><math><mrow><mn>0</mn><mo><</mo><mi>χ</mi><mo><</mo><mn>1</mn></mrow></math></span>. Numerical results are given to support the theoretical analysis and confirm the efficiency of the proposed two-level methods.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142097778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A map neuron with piezoelectric membrane, energy regulation and coherence resonance 带有压电膜、能量调节和相干共振的地图神经元

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-27 DOI: 10.1016/j.cnsns.2024.108320

引用次数: 0

Stochastic optimization of targeted energy transfer with time-dependent cubic nonlinearity 具有随时间变化的立方非线性的定向能量转移随机优化技术

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-27 DOI: 10.1016/j.cnsns.2024.108314

引用次数: 0

Finite time prescribed performance control for stochastic systems with asymmetric error constraint and actuator faults 具有非对称误差约束和执行器故障的随机系统的有限时间规定性能控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-26 DOI: 10.1016/j.cnsns.2024.108290

引用次数: 0

Practically fast finite-time stability of stochastic constrained nonlinear systems with actuator dead zone 具有致动器死区的随机约束非线性系统的实用快速有限时间稳定性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-26 DOI: 10.1016/j.cnsns.2024.108293

引用次数: 0

Event-triggered-based fixed/preassigned-time synchronization control of second-order neural networks with distributed delays 具有分布式延迟的二阶神经网络基于事件触发的固定/预分配时间同步控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI: 10.1016/j.cnsns.2024.108301

引用次数: 0

Problems and corrections of classical mathematical model for piecewise linear system 片线性系统经典数学模型的问题与修正

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI: 10.1016/j.cnsns.2024.108300

{"title":"Problems and corrections of classical mathematical model for piecewise linear system","authors":"","doi":"10.1016/j.cnsns.2024.108300","DOIUrl":"10.1016/j.cnsns.2024.108300","url":null,"abstract":"<div><p>Due to the existence of gaps or backlash, many mechanical systems can be simplified into piecewise linear models. The dynamic study on mechanical systems should be based on reliable mathematical models. So that it is very important to determine the contact point and separation point between the primary system and the auxiliary spring system (ASS) in a piecewise linear system. In most existing literature, the contact point and separation point of the mathematical model are fixed at the gap. But in this paper, it is found that the contact point and separation point actually change with the system parameters when the ASS contains a damper, which implies the most existing mathematical models are incorrect. It is firstly demonstrated through numerical solution that the primary system will prematurely separate from the ASS before reaching the gap under harmonic excitation, which shows the incorrectness of the classical mathematical models. Then, based on the mechanical model and engineering practice, two corrected mathematical models are proposed. And the motions of the primary system and ASS after premature separation in the corrected models are studied. Finally, through comparisons of the contact points, separation points, amplitude-frequency curves and motion states between the corrected models and the classical mathematical model, it can be concluded that the corrected models are more reasonable. And comparisons with the experimental data imply that the corrected models can better reflect the engineering practice. These results will be helpful to the study and design of the piecewise linear system.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424004854/pdfft?md5=d9cb27071fecb3155437befee4393b3d&pid=1-s2.0-S1007570424004854-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142129765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0