Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Perturbed reflected forward backward splitting algorithm for monotone inclusion","authors":"Bing Tan ,&nbsp;Yekini Shehu ,&nbsp;Tiexiang Li ,&nbsp;Xiaolong Qin","doi":"10.1016/j.cnsns.2024.108565","DOIUrl":"10.1016/j.cnsns.2024.108565","url":null,"abstract":"<div><div>In this paper, we investigate a new reflected forward–backward splitting algorithm with self-adaptive step sizes to solve monotone inclusion problems. The implementation of our algorithm does not require the knowledge of the Lipschitz constant for the Lipschitz continuous monotone operator, unlike existing reflected forward–backward splitting algorithms, which necessitate this information during implementation. The weak convergence theorem of the proposed algorithm is given under standard conditions. We compare numerically our algorithm with other related ones in the literature through its applications in signal processing and image deblurring.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108565"},"PeriodicalIF":3.4,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911906","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}

{"title":"Relative controllability of neutral delay differential equations on quaternion skew field","authors":"Teng Fu,&nbsp;JinRong Wang","doi":"10.1016/j.cnsns.2024.108557","DOIUrl":"10.1016/j.cnsns.2024.108557","url":null,"abstract":"<div><div>The research focuses on relative controllability of neutral delay differential equations on quaternion skew field (NDQDEs). First, we derive the representation of solutions for NDQDEs by quaternion determining equations and neutral delay quaternion matrix function. Then, the Gram criterion of relative controllability for NDQDEs in different cases is given with the help of the representation of solutions. By the analogy of Cayley–Hamilton theorem, the rank criterion of relative controllability is obtained. The complete characterization of quaternion control functions is obtained by a special right inverse matrix and shifted Legendre polynomials. Besides, we discuss the relative controllability of weakly nonlinear NDQDEs. Finally, we provide examples to verify the theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108557"},"PeriodicalIF":3.4,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142887000","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}

{"title":"Multiscale modified diversity entropy as a measure of time series synchrony","authors":"Guancen Lin,&nbsp;Aijing Lin","doi":"10.1016/j.cnsns.2024.108555","DOIUrl":"10.1016/j.cnsns.2024.108555","url":null,"abstract":"<div><div>Time series synchronicity analysis is crucial for comprehending the evolution of internal structures and interactions in dynamic systems, which helps reveal the behavior of complex systems and understand correlations and underlying patterns among signals. This paper proposes multiscale modified diversity entropy (MSMDE) capable of capturing synchronicity between bivariate time series on multiple time scales. The proposed method enables accurate quantification of synchronization with respect to parameter variations in simulation experiments, exhibiting superior robustness compared to multiscale cross-sample entropy and multiscale cross-permutation entropy. Epilepsy is diagnosed using the MSMDE method, achieving high classification accuracy by distinguishing focal from non-focal signals based on the synchronization of dual-channel electroencephalographic signals on multiscales. The results indicate that MSMDE serve as a reliable method to measure the synchronization between paired signals, providing a novel perspective for optimization and decision-making in complex systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108555"},"PeriodicalIF":3.4,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911911","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}

{"title":"Existence results for critical double phase Hénon problems with Hardy–Sobolev exponent","authors":"Yu Cheng,&nbsp;Zhanbing Bai","doi":"10.1016/j.cnsns.2024.108551","DOIUrl":"10.1016/j.cnsns.2024.108551","url":null,"abstract":"<div><div>Herein, the solvability of the critical double phase Hénon problem with a Hardy–Sobolev exponent is considered. Under some appropriate assumptions, the existence of at least one weak solution is obtained via the fibering method in form of the Nehari manifold. To overcome the lack of compactness arising from critical growth in the Musielak–Orlicz–Sobolev space, the convergence of gradients is analyzed, which involves some basic inequalities and truncation methods.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108551"},"PeriodicalIF":3.4,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911903","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}

{"title":"New criteria of stochastic finite time stability for impulsive switched stochastic nonlinear systems","authors":"Haiqi Peng,&nbsp;Quanxin Zhu","doi":"10.1016/j.cnsns.2024.108545","DOIUrl":"10.1016/j.cnsns.2024.108545","url":null,"abstract":"<div><div>In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process theory, multiple Lyapunov functions, analytical techniques. Moreover, the estimations of stochastic settling time (SST) are also provided. Under the influence of destabilizing and stabilizing impulses, we consider situations where the subsystems are fully stable, the subsystems may be fully unstable, and some subsystems are stable while others are unstable, respectively. The conclusion reveals the relationship among the initial value, impulsive switching strength factors, impulsive switching time and SST. Finally, two numerical examples are provided to illustrate our conclusion.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108545"},"PeriodicalIF":3.4,"publicationDate":"2024-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142886811","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}

{"title":"Semi-analytical attitude propagation for earth orbiting objects","authors":"I. Cavallari,&nbsp;J. Feng,&nbsp;M. Vasile","doi":"10.1016/j.cnsns.2024.108549","DOIUrl":"10.1016/j.cnsns.2024.108549","url":null,"abstract":"<div><div>This paper presents the development of a semi-analytical theory for the long-term propagation of the attitude motion of Earth-orbiting objects with arbitrary shape. The attitude dynamics includes the effects of gravity-gradient, residual magnetic, and light-pressure torques. The equations of motion are expressed in Sadov variables. The equations of motion are averaged over the Sadov angles and the orbital mean anomaly and a combination of Lie transformations is applied to transform from non-averaged to mean attitude variables. It will be shown how this technique can be used to estimate the approximation error and improve the accuracy of the averaged solution. Furthermore, we introduce an alternative set of variables, that removes one of the singularities in the formulation in Sadov variables. The results of the numerical tests demonstrate that the proposed semi-analytical theory, provides a good balance between accuracy and computational cost.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108549"},"PeriodicalIF":3.4,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911912","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}

{"title":"The dynamics of the spin–spin problem in Celestial Mechanics","authors":"Adrián P. Bustamante ,&nbsp;Alessandra Celletti ,&nbsp;Christoph Lhotka","doi":"10.1016/j.cnsns.2024.108548","DOIUrl":"10.1016/j.cnsns.2024.108548","url":null,"abstract":"<div><div>This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this study is on their behavior, their linear stability, and numerical investigation of the main resonances. We assume that the spin axes of the two bodies are perpendicular to the orbital plane and coinciding with the direction of their shortest physical axis. In the basic approximation, we assume that the orbits of the centers of mass are Keplerian and we retain the lowest order of the potential, according to which the rotational motions of the two bodies are decoupled, the so-called <em>spin–orbit</em> problem. When considering highest order approximation of the potential, the rotational motions become coupled giving rise to the so-called <em>spin–spin</em> problem. Finally, we release the assumption that the orbit is Keplerian, which implies that the rotational dynamics is coupled to the variation of the orbital elements. The resulting system is called the <em>full spin–spin</em> problem. We also consider the above models under the assumption that one or both bodies are non rigid; the dissipative effect is modeled by a linear function of the rotational velocity, depending on some dissipative and drift coefficients.</div><div>We consider three main resonances, namely the (1:1,1:1), (3:2,3:2), (1:1,3:2) resonances and we start by analyzing the linear stability of the equilibria in the conservative and dissipative settings (after averaging and keeping only the resonant angle), showing that the stability depends on the value of the orbital eccentricity. By a numerical integration of the equations of motion, we compare the spin–orbit and spin–spin problems to highlight the influence of the coupling term of the potential in the conservative and dissipative case. We conclude by investigating the effect of the variation of the orbit on the rotational dynamics, showing that higher order resonant islands, that appeared in the Keplerian case, are destroyed in the full problem.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108548"},"PeriodicalIF":3.4,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911914","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}

{"title":"A tristable nonlinear energy sink with time-varying potential barriers","authors":"You-Cheng Zeng ,&nbsp;Hu Ding ,&nbsp;Jin-Chen Ji ,&nbsp;Xiao-Ye Mao ,&nbsp;Li-Qun Chen","doi":"10.1016/j.cnsns.2024.108559","DOIUrl":"10.1016/j.cnsns.2024.108559","url":null,"abstract":"<div><div>The multi-stable vibrational systems have attracted widespread attention due to their rich nonlinear dynamic phenomena. This study constructs a tristable nonlinear energy sink with time-varying potential barriers (VP-TNES) for the first time, aimed at enhancing vibration suppression efficiency of traditional TNES. The VP-TNES builds time-varying potential barriers with symmetrical magnetic oscillators. Then, the VP-TNES is coupled with a linear oscillation (LO). A new nonlinear model of 4-degree-of-freedom (4DOF) coupled system of TNES control is developed, distinct from the previous 2DOF design. The effect of the movable magnets’ spring stiffness on the dynamics and vibration suppression efficiency of the VP-TNES is investigated. The results demonstrate that the barrier depths are dynamically adjusted. Therefore, the VP-TNES crosses the potential barriers more easily, leading to chaotic inter-well oscillations. Consequently, this nonlinear strong modulated phenomenon can improve the vibration reduction performance of VP-TNES, especially for low-amplitude excitation vibrations. Moreover, the design principles for the symmetrical magnetic oscillators are provided. This study proposed a TNES with time-varying potential barriers and clarified its vibration reduction mechanism. The dynamics adjustment phenomenon can not only enhance the vibration reduction efficiency of traditional TNES, but also be applied to other fields of vibration energy regulation.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108559"},"PeriodicalIF":3.4,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142886812","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}

{"title":"Neural activities of neuron–Astrocyte network under environmental disturbances: Numerical analysis and hardware experiments","authors":"Kaijie Chen ,&nbsp;Zhijun Li ,&nbsp;Yang Yin","doi":"10.1016/j.cnsns.2024.108564","DOIUrl":"10.1016/j.cnsns.2024.108564","url":null,"abstract":"<div><div>The normal functioning of the actual brain relies on the collaborative efforts of neurons across multiple functional regions as well as the support and regulation of astrocytes, and its operating environment is both intricate and diverse. Hence, to replicate the electrophysiological properties of the central nervous system more accurately, it is essential to take the neuronal heterogeneity, the role of astrocytes, and environmental effects into account together. To this end, a neuron–astrocyte network comprising an Hindmarsh-Rose (HR) neuron, a FitzHugh-Nagumo (FHN) neuron, and an astrocyte, is proposed in this paper. The network is subjected to a complex environment to mimic the neural firing activities in biological reality. Several numerical analyses are performed to reveal the effects of the environments on the firing activities and the role of the astrocyte on the heterogeneous neuron network. It is found that the astrocyte can reduce coupling strength through neurotransmitter transmission, allowing for real-time regulation of coupling strength between neurons. More interestingly, environmental changes can alter the firing patterns of the neuron–astrocyte network, and greater electromagnetic radiation intensity and higher temperature may contribute to the firing synchronization between the coupled neurons. Finally, a hardware implementation based on the DSP platform is constructed to verify the correctness and feasibility of the neuron–astrocyte network under the interference of complex environment.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108564"},"PeriodicalIF":3.4,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142886813","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}

{"title":"Event-triggered joint adaptive high-gain observer design for delayed output-sampled nonlinear systems with unknown parameters and output injection","authors":"Xincheng Zhuang ,&nbsp;Yang Tian ,&nbsp;Haoping Wang ,&nbsp;Sofiane Ahmed-Ali","doi":"10.1016/j.cnsns.2024.108541","DOIUrl":"10.1016/j.cnsns.2024.108541","url":null,"abstract":"<div><div>This study presents a novel event-triggered joint adaptive high-gain observer design for delayed output-sampled nonlinear systems with output injection. These systems are characterized by the presence of unknown parameters that influence both the state and output equations. The major difficulty in designing the observer lies in the interplay between event-triggered mechanism, output injection, and time-varying delays. Additionally, the non-affine nature of the parameter’s entry into the system states equation further complicates the design. To address these challenges, a new adaptive law for unknown parameter estimation is developed under delay measurement. A novel non-Zeno dynamic event-triggered mechanism coupled with a closed-loop output predictor is proposed. The resulting observer exhibits two main features: the first one provides an input-to-state stable property, and the second one is the establishment of a theoretical condition for the inter-event time of the proposed dynamic event-triggered mechanism. The effectiveness of the designed observer is demonstrated through numerical simulations and performance comparisons with previous works.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108541"},"PeriodicalIF":3.4,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142887051","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}