Chaos Solitons & Fractals最新文献_第6页

Dynamical analysis and event-triggered neural backstepping control of two Duffing-type MEMS gyros with state constraints 带状态约束的两个 Duffing 型 MEMS 陀螺的动态分析和事件触发神经反步控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-01 DOI: 10.1016/j.chaos.2024.115691

Tingyao Hu , Shaohua Luo , Ya Zhang , Guangwei Deng , Hassen M. Ouakad

{"title":"Dynamical analysis and event-triggered neural backstepping control of two Duffing-type MEMS gyros with state constraints","authors":"Tingyao Hu , Shaohua Luo , Ya Zhang , Guangwei Deng , Hassen M. Ouakad","doi":"10.1016/j.chaos.2024.115691","DOIUrl":"10.1016/j.chaos.2024.115691","url":null,"abstract":"<div><div>The DSP (Digital Signal Processing) implementation of two Duffing-type micro-electro-mechanical systems (MEMS) gyros and their event-triggered neural backstepping control with state constraints are investigated in this paper. Initially, we design the two Duffing-type MEMS gyros with a fully decoupled structure and establish a mathematical model based on the Newton's Second Law and the Lagrange equation. Due to the significant differences in the integrated circuit design and engineering application between embedded platforms and computer simulations, we selected the DSP platform to better characterize two Duffing-type MEMS gyros. Based on this, we explore nonlinear dynamic behaviors through phase and time history diagrams from the DSP platform as well as Lyapunov exponents under different coupling and damping coefficients, thereby identifying the existence of harmful chaotic phenomena in such gyros. Subsequently, to address chaotic oscillations along with overcoming the troubles of state constraints, uncertain disturbances and communication burden in the system, we incorporate the integral barrier Lyapunov function (IBLF) to limit the position of the proof mass within the physical limit. Furthermore, a type-2 sequential fuzzy neural network (T2SFNN) is used to approximate unknown nonlinear terms and the switching threshold event-triggered (STET) mechanism is utilized to save communication bandwidth. Then, an event-triggered neural backstepping controller is proposed to successfully achieve safety, high-precision and low resource consumption control of such gyros, ensuring that all signals in the closed-loop system remain bounded. Finally, simulation results and comparative experiments demonstrate the effectiveness and superiority of our proposed control scheme.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115691"},"PeriodicalIF":5.3,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578551","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

Evaluation of human epileptic brain networks by constructing simplicial complexes 通过构建简单复合物评估人类癫痫脑网络

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-01 DOI: 10.1016/j.chaos.2024.115699

Zhaohui Li , Xinyu Li , Mindi Li , Kexin Zhang , Xi Zhang , Xiaoxia Zhou

{"title":"Evaluation of human epileptic brain networks by constructing simplicial complexes","authors":"Zhaohui Li , Xinyu Li , Mindi Li , Kexin Zhang , Xi Zhang , Xiaoxia Zhou","doi":"10.1016/j.chaos.2024.115699","DOIUrl":"10.1016/j.chaos.2024.115699","url":null,"abstract":"<div><div>As a powerful framework, higher-order networks have gained significant attention to model the non-pairwise interactions of complex systems. Particularly, simplicial complex is an important mathematical tool which can be used to depict higher-order interactions. However, previous works on simplicial complexes have mainly focused on synthetic data. In this paper, we propose a method based on multivariate phase synchronization to construct simplicial complexes using multichannel stereo-electroencephalography (SEEG) data recorded from epilepsy patients. Furthermore, we examine its ability to describe both global and local characteristics of the higher-order brain network. Specifically, we first introduce the Hodge Laplacian to characterize higher-order interactions and employ the Euler characteristic number to determine the network synchronizability which is a significant global characteristic. Afterwards, we define an improved gravity-based centrality method to identify vital nodes in the higher-order network with simplicial complexes. Additionally, network efficiency based on the higher-order distance between different nodes is adopted to evaluate the effectiveness of this method in distinguishing the important nodes. In particular, we find that the Hippocampus and Fusiform gyrus may promote the synchronization of the epileptic brain network. All in all, we believe that our method paves the way to investigate brain networks with higher-order interactions, which contributes to identifying hubs in the epileptic network and has potential applications in epileptic treatment.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115699"},"PeriodicalIF":5.3,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578553","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

Relationship between micro-pores fractal characteristics about NMR T2 spectra and macro cracks fractal laws based on box dimension method of coal under impact load from energy dissipation theory 基于能量耗散理论的冲击载荷下煤炭箱形尺寸法的核磁共振 T2 光谱微孔分形特征与宏观裂缝分形规律之间的关系

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-01 DOI: 10.1016/j.chaos.2024.115685

Shugang Li , Di He , Xiangguo Kong , Haifei Lin , Yankun Ma , Xuelong Li , Mengzhao Zhan , Pengfei Ji , Songrui Yang

{"title":"Relationship between micro-pores fractal characteristics about NMR T2 spectra and macro cracks fractal laws based on box dimension method of coal under impact load from energy dissipation theory","authors":"Shugang Li , Di He , Xiangguo Kong , Haifei Lin , Yankun Ma , Xuelong Li , Mengzhao Zhan , Pengfei Ji , Songrui Yang","doi":"10.1016/j.chaos.2024.115685","DOIUrl":"10.1016/j.chaos.2024.115685","url":null,"abstract":"<div><div>The development and utilization of deep formation resources are easily disrupted by impact loads. To investigate what effect of impact on the pore structure and energy evolution of coal, the dynamic compression tests were performed by using the Split Hopkinson Pressure Bar (SHPB) test system. The fractal characteristics of macro cracks were analyzed by box dimension, the micro-pores structure and fractal features of coal samples were studied about nuclear magnetic resonance (NMR), which clarified the intrinsic relationship between fracture structure characteristics and energy dissipation. The results showed that with increasing impact velocity from 1.27 m/s to 4.90 m/s, the dynamic strength and peak strain increased by 85.11 % and 53.76 %, respectively. The fractal dimension of the cracks grew by 26.87 %, and the fractal dimension of pore network and full aperture decreases gradually. With increasing impact velocity, the fracture dissipation energy and energy dissipation rate of coal samples increase exponentially. As the energy dissipation rate increases, the cracks fractal increases in a quadratic function relationship and the pores fractal decreases continuously. Low-velocity impacts induce dislocation plugging between coal matrix crystals, while impact effect causes more dislocations to form stress concentrations at pore tips. When the energy accumulation reaches its maximum value, the content of mesopores and macropores together with the pore connectivity increases. Instantaneous disturbance creates more macroscopic fracture surfaces in the coal, resulting in large-scale fracture instability. This research findings will provide some theoretical foundations to understand the formation mechanism of dynamic disasters in deep mines.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115685"},"PeriodicalIF":5.3,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578555","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

Dynamics analysis and adaptive neural network command filtering excitation control of stochastic power system 随机电力系统的动态分析和自适应神经网络指令滤波励磁控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-01 DOI: 10.1016/j.chaos.2024.115690

Jingxian Li , Ping Ma , Cong Wang , Shaohua Zhang , Hongli Zhang

{"title":"Dynamics analysis and adaptive neural network command filtering excitation control of stochastic power system","authors":"Jingxian Li , Ping Ma , Cong Wang , Shaohua Zhang , Hongli Zhang","doi":"10.1016/j.chaos.2024.115690","DOIUrl":"10.1016/j.chaos.2024.115690","url":null,"abstract":"<div><div>New energy sources, such as wind and photovoltaic systems, demonstrate inherent randomness in their power outputs. Additionally, flexible loads, such as electric vehicles at the consumption end further contribute to this variability. These factors result in significant continuous stochastic disturbances on the power system that pose significant threats to the safe and stable operation of the system. Considering continuous stochastic power perturbations, we establish a stochastic differential model of the power system based on Ito stochastic theory. This model analyzes changes in dynamic behavior and oscillation patterns, indicating that stochastic perturbations expand oscillations and reduce the stability boundary. To enhance the system’s security and stability, we propose an adaptive neural network command filter (ANNCF) excitation control method to address stochastic oscillations caused by stochastic power disturbances. Experimental validation using the Real-Time Laboratory (RT-LAB) semi-physical real-time simulation platform shows that the proposed ANNCF excitation method effectively responds to stochastic perturbations, suppresses the stochastic oscillation phenomenon, and significantly improves resistance to stochastic disturbances. Furthermore, this method maintains a superior control effect during sudden power changes and three-phase short circuits, improving the transient stability of the power system.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115690"},"PeriodicalIF":5.3,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578554","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

LMI synchronization conditions for variable fractional-order one-sided Lipschitz chaotic systems with gain fluctuations 具有增益波动的可变分数阶单边 Lipschitz 混沌系统的 LMI 同步条件

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-01 DOI: 10.1016/j.chaos.2024.115695

Liping Chen , Chuang Liu , António M. Lopes , Yong Lin , Yingxiao Liu , YangQuan Chen

引用次数: 0

Cyclic symmetric dynamics in chaotic maps 混沌图中的循环对称动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-31 DOI: 10.1016/j.chaos.2024.115684

Jin Liu , Kehui Sun , Huihai Wang

引用次数: 0

Azimuthally dependent spontaneous emission from a coherently microwave-field driven four-level atom-light coupling scheme 相干微波场驱动四级原子-光耦合方案的方位自发辐射

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI: 10.1016/j.chaos.2024.115672

Muqaddar Abbas , Seyyed Hossein Asadpour , Rahmatullah , Feiran Wang , Hamid R. Hamedi , Pei Zhang

{"title":"Azimuthally dependent spontaneous emission from a coherently microwave-field driven four-level atom-light coupling scheme","authors":"Muqaddar Abbas , Seyyed Hossein Asadpour , Rahmatullah , Feiran Wang , Hamid R. Hamedi , Pei Zhang","doi":"10.1016/j.chaos.2024.115672","DOIUrl":"10.1016/j.chaos.2024.115672","url":null,"abstract":"<div><div>We present a novel technique that makes use of vortex light beams for generating spatially structured spontaneously emission in a atomic four-level configuration. This atomic configuration consists of two closely spaced excited levels linked to a microwave field and two optical vortex fields connecting them to the ground state. After that, the excited states eventually decays to a fourth metastable level. We find that spatially dependent spontaneous emission spectra may be obtained by efficiently transferring the orbital angular momentum (OAM) of the vortex-pumping light beams to the spontaneously emitted photons. This enables the targeted quenching of spontaneous emission in specific azimuthal regions, while simultaneously enhancing it in others. By effectively controlling the OAM of optical vortices and taking into account the correlations of the atomic gas and their collective decay to a metastable state via superradiance, it might be feasible to experimentally modify the probabilistic emission process with deterministic radiation. The approach we propose might be helpful in controlling the quantum level emission characteristics via the nonlinear interaction of the atom–vortex-beam light.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115672"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554527","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 of partially interdependent networks with capacity and loads 具有容量和负载的部分相互依存网络的渗透行为

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI: 10.1016/j.chaos.2024.115674

Mengjiao Chen, Niu Wang, Daijun Wei, Changcheng Xiang

{"title":"Percolation behavior of partially interdependent networks with capacity and loads","authors":"Mengjiao Chen, Niu Wang, Daijun Wei, Changcheng Xiang","doi":"10.1016/j.chaos.2024.115674","DOIUrl":"10.1016/j.chaos.2024.115674","url":null,"abstract":"<div><div>Capacity-loaded networks with interdependent topologies accurately mirror various infrastructure networks. In this work, a partially interdependent network with capacity and loads model is proposed to portray the network structure in real systems. The theoretical framework based on percolation theory for predicting percolation thresholds in partially interdependent networks with capacity and loads is established using generating functions and self-consistent equations. The percolation transition of network is analyzed by initially removing <span><math><mrow><mn>1</mn><mo>−</mo><mi>p</mi></mrow></math></span> fraction nodes and exploring the size of the giant component of the network after cascade failure. Random and scale-free networks are used for numerical and simulation experiments. We find that increasing the capacity parameter enhances the robustness of interdependent networks and alters the percolation characteristics within the network. The phase transition types in random networks exhibit notable variations across different average degrees, while those in scale-free networks are influenced by power-law exponents. Finally, the validity and accuracy of the proposed model is confirmed by a double-layer empirical network consisting of the World Cities Network and the U.S. Electricity Network.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115674"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554529","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

Spiral wave chimeras in nonlocally coupled excitable FitzHugh–Nagumo neurons 非局部耦合可兴奋 FitzHugh-Nagumo 神经元中的螺旋波嵌合体

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI: 10.1016/j.chaos.2024.115681

Yang Li, Haihong Li, Shun Gao, Yirui Chen, Qionglin Dai, Junzhong Yang

引用次数: 0

Hybrid control design for nonlinear chaotic semi-Markov jump systems via fault alarm approach 通过故障报警方法进行非线性混沌半马尔可夫跃迁系统的混合控制设计

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI: 10.1016/j.chaos.2024.115663

R. Sakthivel , R. Abinandhitha , T. Satheesh , O.M. Kwon

{"title":"Hybrid control design for nonlinear chaotic semi-Markov jump systems via fault alarm approach","authors":"R. Sakthivel , R. Abinandhitha , T. Satheesh , O.M. Kwon","doi":"10.1016/j.chaos.2024.115663","DOIUrl":"10.1016/j.chaos.2024.115663","url":null,"abstract":"<div><div>This paper investigates the stabilisation problem for a class of T-S fuzzy chaotic semi-Markov jump systems against parametric uncertainties, actuator faults and external disturbances. The main objective of this study is to develop a fault alarm-based non-fragile mode-dependent hybrid controller mechanism to withstand the actuator faults in the concerned system, wherein the hybrid control design blends both robust and fault-tolerant control schemes. Therein, the fault-alarm system is configured based on the alarm threshold, which aids in the execution of the hybrid controller. Specifically, it allows the controller to be timely alerted, making it switch from a robust to a fault-tolerant controller, that is, robust control oversees when the system functions without fault and fault-tolerant control takes over when the system encounters a fault. From there on, through the consideration of relevant Lyapunov function, a novel set of mode-dependent sufficient criteria that have a linear matrix inequality structure is acquired, which confirms the <span><math><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>,</mo><mi>ℨ</mi><mo>)</mo></mrow></math></span>-<span><math><mi>ζ</mi></math></span>-dissipativity of the system under study. Following that, the precise design of the robust and fault-tolerant controller is procured by solving the developed sufficient conditions. In the end, the simulation results of Chua’s circuit system are offered to confirm the significance of the theoretical insights acknowledged.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115663"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554530","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