Chaos Solitons & Fractals最新文献_第5页

Non-Markovian superposition process model for stochastically describing concentration–discharge relationship 随机描述浓度-流量关系的非马尔可夫叠加过程模型

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-23 DOI: 10.1016/j.chaos.2025.116715

Hidekazu Yoshioka , Yumi Yoshioka

{"title":"Non-Markovian superposition process model for stochastically describing concentration–discharge relationship","authors":"Hidekazu Yoshioka , Yumi Yoshioka","doi":"10.1016/j.chaos.2025.116715","DOIUrl":"10.1016/j.chaos.2025.116715","url":null,"abstract":"<div><div>Concentration–discharge relationship is crucial in river hydrology, as it reflects water quality dynamics across both low- and high-flow regimes. However, its mathematical description is still challenging owing to the underlying complex physics and chemistry. This study proposes an infinite-dimensional stochastic differential equation model that effectively describes the concentration–discharge relationship while staying analytically tractable, along with the computational aspects of the model. The proposed model is based on the superposition of the square-root processes (or Cox–Ingersoll–Ross processes) and its variants, through which both the long-term moments and autocovariance of river discharge and the fluctuation of water quality index can be derived in closed forms. Particularly, the model captures both long (power decay) and short (exponential decay) memories of the fluctuation in a unified manner, while quantifying the hysteresis in the concentration–discharge relationship through mutual covariances with time lags. Based on a verified numerical method, the model is computationally applied to weekly data on total nitrogen (TN. long memory with moderate fluctuation), total phosphorus (TP. short memory with large fluctuation), and total organic carbon (TOC. short memory with moderate fluctuation) from a rural catchment to validate its applicability to real-world datasets. Based on the identified model and its mutual covariance, our findings indicate that, on average, the peak concentrations of these water quality indices appear approximately 1 day after discharge. Finally, the study discusses the effects of model uncertainty on mutual covariance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116715"},"PeriodicalIF":5.3,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144338680","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

Modulational instability and dynamics of multidimensional dust ion-acoustic wave envelope in collisional dense astrophysical dusty plasma 碰撞致密天体物理尘埃等离子体中多维尘埃离子-声波包络的调制不稳定性和动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-21 DOI: 10.1016/j.chaos.2025.116696

Jyoti Turi , Subrata Roy , Santanu Raut

{"title":"Modulational instability and dynamics of multidimensional dust ion-acoustic wave envelope in collisional dense astrophysical dusty plasma","authors":"Jyoti Turi , Subrata Roy , Santanu Raut","doi":"10.1016/j.chaos.2025.116696","DOIUrl":"10.1016/j.chaos.2025.116696","url":null,"abstract":"<div><div>We study the nonlinear propagation of (2+1)-dimensional modulated dust ion-acoustic waves (DIAW’s) envelope considering a semiclassical, two-fluid hydrodynamic model incorporating the effects of electron exchange–correlation potential, quantum Bohm potential term and degenerate pressure in unmagnetized collisional dusty plasma. We employ standard multiple-scale perturbation technique to obtain a (2+1)-dimensional modified nonlinear Schrödinger (mNLS) equation describing the slow modulation of DIAW packets’ evolution. It is noticed that the NLS equation is modified with a damping term due to the presence of dust-neutral collisional effects, which significantly alter the behavior of the system. Also, we investigate the oblique modulational instability (MI) by means of the corresponding mNLS equation. Various instability criteria and instability domains are identified exclusively, and the corresponding growth rate of MI is obtained in the unstable domain. Moreover, analytic solutions (such as breather solutions) of the mNLS equation are obtained using Hirota’s method. In the current framework, MI enhances coherence within nonlinear plasma systems by reducing wave randomness and mitigating random phase fluctuations. This process enables the formation of coherent, self-organized structures such as DIA envelope solitons or wave collapse. These variations may result in rogue waves, which are unexpected localized wave formations within the turbulent plasma environment. We also perform parametric analysis and observe that the key plasma parameters, viz., electron exchange–correlation potential, ion and electron number densities, remarkably change the criteria and domains of MI, as well as the characteristics features of DIAW’s propagation (via the rough and breather structures). The relevance of this present theoretical investigation is pointed out in dense astrophysical objects like the interior of white dwarf stars for exploring the nonlinear dynamics of DIAW.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116696"},"PeriodicalIF":5.3,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144329652","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

A universal re-annealing method for enhancing endurance in hafnia ferroelectric memories: Insights from stochastic noise analysis 提高铪铁电存储器耐久性的通用再退火方法：来自随机噪声分析的见解

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-21 DOI: 10.1016/j.chaos.2025.116748

Ryun-Han Koo , Wonjun Shin , Jiseong Im , Sangwoo Ryu , Seungwhan Kim , Jangsaeng Kim , Kangwook Choi , Sung-Ho Park , Jonghyun Ko , Jongho Ji , Mingyun Oh , Gyuweon Jung , Sung-Tae Lee , Daewoong Kwon , Jong-Ho Lee

{"title":"A universal re-annealing method for enhancing endurance in hafnia ferroelectric memories: Insights from stochastic noise analysis","authors":"Ryun-Han Koo , Wonjun Shin , Jiseong Im , Sangwoo Ryu , Seungwhan Kim , Jangsaeng Kim , Kangwook Choi , Sung-Ho Park , Jonghyun Ko , Jongho Ji , Mingyun Oh , Gyuweon Jung , Sung-Tae Lee , Daewoong Kwon , Jong-Ho Lee","doi":"10.1016/j.chaos.2025.116748","DOIUrl":"10.1016/j.chaos.2025.116748","url":null,"abstract":"<div><div>Ferroelectric memories based on hafnium oxide (HfO₂) are promising for next-generation non-volatile memory due to their compatibility with complementary metal-oxide semiconductor (CMOS) processes and scalability to nanometer-thin films. However, cycling endurance remains a critical challenge, largely limited by defect generation and ferroelectric fatigue. In this work, we demonstrate a universal re-annealing process that significantly enhances the endurance of ferroelectric HfO<sub>2</sub> memory devices. By employing stochastic noise analysis, specifically low-frequency noise (LFN) spectroscopy, as a diagnostic tool, we uncover the microscopic mechanisms by which thermal re-annealing mitigates degradation. This stochastic diagnostic approach serves as a crucial technique for process optimization, turning the inherent randomness of defect generation into actionable insights. The re-annealing treatment, optimized at 600 °C, effectively repairs ferroelectric thin films, reducing trap densities and improving ferroelectric phase stability without inducing the adverse effects encountered at higher annealing temperatures. This optimization was guided by noise measurements that sensitively detect trap-related fluctuations, revealing how an overly aggressive anneal at 800 °C introduces new defects, eventually degrading device performance. The effectiveness of this approach is validated across standalone ferroelectric films and integrated devices (ferroelectric tunnel junctions), highlighting its broad applicability.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116748"},"PeriodicalIF":5.3,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144329576","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

Modelling mercury dynamics in the food web of the Augusta Bay 模拟奥古斯塔湾食物网中的汞动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116755

Giovanni Denaro , Luciano Curcio , Bartolomeo Cosenza , Alessandro Borri , Davide Valenti , Bernardo Spagnolo , Giuseppe Avellone

{"title":"Modelling mercury dynamics in the food web of the Augusta Bay","authors":"Giovanni Denaro , Luciano Curcio , Bartolomeo Cosenza , Alessandro Borri , Davide Valenti , Bernardo Spagnolo , Giuseppe Avellone","doi":"10.1016/j.chaos.2025.116755","DOIUrl":"10.1016/j.chaos.2025.116755","url":null,"abstract":"<div><div>Mercury (Hg) contamination represents a significant environmental and public health challenge, particularly in heavily industrialized marine areas. The Augusta Bay, one of the most polluted marine ecosystems in Southern Italy, exemplifies the urgent need for integrated approaches to understand and mitigate Hg impacts. This study is the first to apply a multi-scale modelling framework to address Hg contamination in this region. By integrating environmental processes, food web dynamics and human health impacts, our analysis provides a comprehensive knowledge of Hg pathways and region-specific risks. The framework combines three advanced models. The HR3DHG model reproduces the transport and transformation of Hg species in seawater and sediments, with outputs validated through experimental data collected during extensive field campaigns. The HR3DHG model outputs are then used as inputs for the INTFISH model, which accurately reproduces Hg concentrations in marine organisms of the Augusta Bay while accounting for feeding habits and ecological interactions. Finally, the BBD model addresses the human health dimension by simulating the internal dynamics of methylmercury and its inorganic metabolites in the human body under chronic exposure scenarios. The experimental data coming from the Augusta Bay and their comparison with the values measured in the Hyogo Prefecture (Japan) allowed us to confirm the robustness and relevance of our results (model validation). This innovative framework devised for the Augusta Bay, offers a powerful tool for assessing ecosystem and human health risks associated with Hg contamination, and supports interventions targeted to mitigate the impacts of Hg pollution in coastal areas.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116755"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321146","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

Higher-charged binary vortex quantum droplets in a ring potential 环势中的高电荷双涡旋量子液滴

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116700

Zheng Zhou , Tianyou Chen , Bo Zhu , Honghua Zhong

{"title":"Higher-charged binary vortex quantum droplets in a ring potential","authors":"Zheng Zhou , Tianyou Chen , Bo Zhu , Honghua Zhong","doi":"10.1016/j.chaos.2025.116700","DOIUrl":"10.1016/j.chaos.2025.116700","url":null,"abstract":"<div><div>We investigate the stability and characteristics of vortex quantum droplets (QDs) with particle imbalance and different topological charges <span><math><msub><mrow><mi>S</mi></mrow><mrow><mo>±</mo></mrow></msub></math></span> in two components formed by binary Bose–Einstein condensates trapped in a ring potential. Two types of binary vortex QDs including semi-vortex (SV) and mixed-vortex (MV) QDs can be stable up to at least <span><math><mrow><msub><mrow><mi>S</mi></mrow><mrow><mo>−</mo></mrow></msub><mo>=</mo><mn>14</mn></mrow></math></span> with the help of the ring potential. It is worth noting that, for a given number of particles in the binary vortex QDs, the more particles are concentrated in the zero-vorticity and lower-vorticity components for stable SV and MV QDs, respectively, and the imbalanced degree is further increased with the growth of topological charge <span><math><msub><mrow><mi>S</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span>. We found that the relative norm (scaled number of particles) distribution of two components in imbalanced SV and MV QDs with high topological charge can be controlled by adjusting the ring potential radius, width, and depth. In addition, it is revealed that stable binary vortex QDs in the ring potential can violate the Vakhitov-Kolokolov criterion. Effects of the topological charges <span><math><msub><mrow><mi>S</mi></mrow><mrow><mo>±</mo></mrow></msub></math></span> and the ring potential parameters on the chemical potential and the peak density of the SV and MV QDs are systematically studied. The stability areas of the SV and MV QDs with different topological charges in the plane of the total norm and coupling constant are also identified. The results may be relevant to design an encoding device employing binary vortex QDs with different topological charges for storing different data components.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116700"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321143","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

Multilayer directed random networks: Scaling of spectral properties 多层有向随机网络：光谱特性的缩放

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116695

G. Tapia-Labra, M. Hernández-Sánchez, J.A. Méndez-Bermúdez

{"title":"Multilayer directed random networks: Scaling of spectral properties","authors":"G. Tapia-Labra, M. Hernández-Sánchez, J.A. Méndez-Bermúdez","doi":"10.1016/j.chaos.2025.116695","DOIUrl":"10.1016/j.chaos.2025.116695","url":null,"abstract":"<div><div>Motivated by the wide presence of multilayer networks in both natural and human-made systems, within a random matrix theory (RMT) approach, in this study we compute eigenfunction and spectral properties of multilayer directed random networks (MDRNs) in two setups composed by <span><math><mi>M</mi></math></span> layers of size <span><math><mi>N</mi></math></span>: A line and a complete graph (node-aligned multiplex network). First, we numerically demonstrate that the normalized localization length <span><math><mi>β</mi></math></span> of the eigenfunctions of MDRNs follows a simple scaling law given by <span><math><mrow><mi>β</mi><mo>=</mo><msup><mrow><mi>x</mi></mrow><mrow><mo>∗</mo></mrow></msup><mo>/</mo><mrow><mo>(</mo><mn>1</mn><mo>+</mo><msup><mrow><mi>x</mi></mrow><mrow><mo>∗</mo></mrow></msup><mo>)</mo></mrow></mrow></math></span>, where <span><math><msup><mrow><mi>x</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> is a nontrivial function of <span><math><mi>M</mi></math></span>, <span><math><mi>N</mi></math></span>, and number of intra- and inter-layer edges. Then, we show that other eigenfunction and spectral RMT measures (the inverse participation ratio of eigenfunctions, the ratio between nearest- and next-to-nearest- neighbor eigenvalue distances, and the ratio between consecutive singular-value spacings) of MDRNs also scale with <span><math><msup><mrow><mi>x</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span>. We validate our results on real-world networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116695"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321142","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

Fixed-time tracking control for fractional-order uncertain parametric nonlinear systems with input delay: A command filter-based neuroadaptive control method 带有输入延迟的分数阶不确定参数非线性系统的定时跟踪控制：一种基于命令滤波器的神经自适应控制方法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116734

Xiyu Zhang , Chun Feng , Youjun Zhou , Xiongfeng Deng

{"title":"Fixed-time tracking control for fractional-order uncertain parametric nonlinear systems with input delay: A command filter-based neuroadaptive control method","authors":"Xiyu Zhang , Chun Feng , Youjun Zhou , Xiongfeng Deng","doi":"10.1016/j.chaos.2025.116734","DOIUrl":"10.1016/j.chaos.2025.116734","url":null,"abstract":"<div><div>This paper discusses the fixed-time tracking control (FTTC) problem of fractional-order nonlinear systems (FONSs) subject to uncertain dynamics, parametric nonlinearities and input delay. An radial basis function neural network (RBFNN) is applied to tackle uncertain nonlinearities and input delay nonlinearity in the backstepping control (BC) process, with the vectors of weight and basis function being reconstructed accordingly. Meanwhile, adaptive control laws are designed to enable online updating of the new weight and approximation error. Moreover, a nonlinear fractional-order command filter (FOCF) is utilized to circumvent the “complexity explosion” issue caused by BC method, and compensation control strategies are presented to compensate for filtering errors. By introducing the FOCF, BC method and fixed-time (FT) control theory, a neuroadaptive FTTC strategy with command filter (CF) is ultimately proposed. This strategy ensures that the tracking error converges to a small neighborhood of zero in a fixed time, while maintaining the boundedness of all signals in the closed-loop system. Eventually, the validity of the developed control strategy is testified through three aspects.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116734"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321145","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

Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system 一维弱相互作用周期驱动费米子系统中的输运和法诺共振

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116688

Vincenzo Bruno , Roberta Citro

引用次数: 0

Effects of higher-order interactions and electromagnetic induction on synchronization in Hindmarsh–Rose neuronal networks 高阶相互作用和电磁感应对Hindmarsh-Rose神经网络同步的影响

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116764

Weifang Huang, Yong Wu, Qianming Ding, Ya Jia, Lijian Yang

{"title":"Effects of higher-order interactions and electromagnetic induction on synchronization in Hindmarsh–Rose neuronal networks","authors":"Weifang Huang, Yong Wu, Qianming Ding, Ya Jia, Lijian Yang","doi":"10.1016/j.chaos.2025.116764","DOIUrl":"10.1016/j.chaos.2025.116764","url":null,"abstract":"<div><div>Synchronization phenomena in neuronal networks have a key role in cognitive functions and neural information processing. This study investigates the synchronization behavior of neuronal networks under the combined influence of electromagnetic induction and higher-order interactions. We construct a simplicial complex that incorporates both first- and second-order couplings, and introduce electromagnetic induction into the Hindmarsh–Rose neuronal model. Using the master stability function method and numerical simulations, we analyze the effects of electromagnetic induction strength and the proportion of higher-order interactions on synchronization stability and energy distribution. The results show that moderate electromagnetic induction helps reduce the synchronization threshold and enhances energy uniformity across the network. In contrast, increasing the proportion of higher-order interactions introduces stronger structural heterogeneity and significantly suppresses the synchronization. Spectral analysis reveals an intrinsic link between declining synchronization stability and structural features. Furthermore, simulations on the real-world Dolphin social network validate the generality of the proposed mechanism. This study highlights the synergistic effects of electromagnetic regulation and higher-order coupling in neuronal dynamical systems and provides theoretical insights into synchronization mechanisms in complex networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116764"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144329577","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

Fast excitatory modulations paradoxically reduce spiking activity in the network and single neuron with autapse: complex bifurcations and unstable limit cycles 快速兴奋调节矛盾地减少网络和单个神经元的峰值活动与自爆：复杂分叉和不稳定极限环

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116752

Yanbing Jia , Huaguang Gu , Xianjun Wang , Yuye Li

{"title":"Fast excitatory modulations paradoxically reduce spiking activity in the network and single neuron with autapse: complex bifurcations and unstable limit cycles","authors":"Yanbing Jia , Huaguang Gu , Xianjun Wang , Yuye Li","doi":"10.1016/j.chaos.2025.116752","DOIUrl":"10.1016/j.chaos.2025.116752","url":null,"abstract":"<div><div>The paradoxical phenomenon that excitatory modulations sometimes reduce neuronal activity has attracted increasing attention. In this paper, reduced activity induced by fast excitatory modulations and the corresponding mechanisms are investigated around the subcritical Hopf bifurcation of the Hodgkin–Huxley (HH) model. In networks with different topologies, two cases of reduced activity with strong synchronization, including spiking annihilation and spiking delay that behaves as mixed-mode oscillations, occur respectively at weak and strong conductances of excitatory synapses with fast decay, whereas two cases of enhanced activity appear for excitatory synapses with slow decay. Due to the strong synchronization, the network dynamics can be reproduced and explained using a single HH neuron modulated by an excitatory autapse. Six bifurcation curves that separate different reduced and enhanced activities are derived in the parameter plane of autaptic conductance and decay rate. Furthermore, the relationship between the afterpotential of reduced activity and the unstable limit cycle separating the stable spiking and resting state is obtained. As the excitatory modulations with weak and strong strength induce the afterpotential to run across the unstable limit cycle to locate at and oscillate around the stable resting state, spiking annihilation and spiking delay appear, respectively. These complex dynamics provide insights for understanding paradoxical functions of excitatory modulations in the nervous system.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116752"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144329578","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