Communications in Nonlinear Science and Numerical Simulation最新文献_第6页

Periodic perturbation of a 3D conservative flow with a heteroclinic connection to saddle-foci 具有鞍-焦点异斜连接的三维保守流的周期扰动

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-18 DOI: 10.1016/j.cnsns.2025.108620

A. Murillo , A. Vieiro

{"title":"Periodic perturbation of a 3D conservative flow with a heteroclinic connection to saddle-foci","authors":"A. Murillo , A. Vieiro","doi":"10.1016/j.cnsns.2025.108620","DOIUrl":"10.1016/j.cnsns.2025.108620","url":null,"abstract":"<div><div>The 2-jet normal form of the elliptic volume-preserving Hopf-zero bifurcation provides a one-parameter family of volume-preserving vector fields with a pair of saddle-foci points whose 2-dimensional invariant manifolds form a 2-sphere of spiralling heteroclinic orbits. We study the effect of an external periodic forcing on the splitting of these 2-dimensional invariant manifolds. The internal frequency (related to the foci and already presented in the unperturbed system) interacts with an external one (coming from the periodic forcing). If both frequencies are incommensurable, this interaction leads to quasi-periodicity in the splitting behaviour, which is exponentially small in (a suitable function of) the unfolding parameter of the Hopf-zero bifurcation. The corresponding behaviour is described by a Melnikov function. The changes of dominant harmonics correspond to primary quadratic tangencies between the invariant manifolds. Combining analytical and numerical results, we provide a detailed description of the asymptotic behaviour of the splitting under concrete arithmetic properties of the frequencies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108620"},"PeriodicalIF":3.4,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021216","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 nonlinear multivariate grey Bernoulli model for predicting innovation performance in high-tech industries

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-18 DOI: 10.1016/j.cnsns.2025.108636

Sandang Guo, Jing Jia, Xu Han, Shuaishuai Geng

{"title":"A nonlinear multivariate grey Bernoulli model for predicting innovation performance in high-tech industries","authors":"Sandang Guo, Jing Jia, Xu Han, Shuaishuai Geng","doi":"10.1016/j.cnsns.2025.108636","DOIUrl":"10.1016/j.cnsns.2025.108636","url":null,"abstract":"<div><div>As China modernizes its industries, predicting innovation performance in high-tech industries is essential for crafting innovation-driven strategies. However, the system output of high-tech industries is influenced by multiple input factors with interaction effects, often exhibiting non-linearity and uncertainty. To address this, a novel nonlinear multivariate grey Bernoulli model considering interaction effects, IENGBM(1,N), has been developed. This model identifies interaction effects between factors and the nonlinear features of the system, more flexibly capturing the fluctuating and nonlinear trend of innovation performance. This paper conducts a quantitative selection of modeling data instead of the former, which is a more rigorous way. Moreover, a comprehensive framework integrating particle swarm optimization (PSO), Monte Carlo simulation, and probability density analysis (PDA) is designed to enhance and validate the model's predictive accuracy. The model's solution is optimized, effectively eliminating jump errors. Experimental results show that the IENGBM(1,N) model with strong robustness outperforms five compare models in two cases, with fitting MAPE of 1.97 % and 2.97 %, and testing MAPE of 1.61 % and 1.44 %, respectively, and this verifies the absence of overfitting in the model. Lastly, the proposed model has been utilized to forecast the innovation performance of high-tech industries and their sub-industries in the feature, providing a practical and effective prediction tool.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108636"},"PeriodicalIF":3.4,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057374","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

Solving optimal control problems of rigid-body dynamics with collisions using the hybrid minimum principle

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-18 DOI: 10.1016/j.cnsns.2025.108603

Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

{"title":"Solving optimal control problems of rigid-body dynamics with collisions using the hybrid minimum principle","authors":"Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han","doi":"10.1016/j.cnsns.2025.108603","DOIUrl":"10.1016/j.cnsns.2025.108603","url":null,"abstract":"<div><div>Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for the optimal control problem of such hybrid dynamical systems based on solving the equations derived from the hybrid minimum principle (HMP). The algorithm is an iterative scheme following the spirit of the method of successive approximations (MSA), and it is robust to undesired collisions observed in the initial guesses. We propose several techniques to address the additional numerical challenges introduced by the presence of discontinuities. The algorithm is tested on disc collision problems whose optimal solutions exhibit one or multiple collisions. Linear convergence in terms of iteration steps and asymptotic first-order accuracy in terms of time discretization are observed when the algorithm is implemented with the forward-Euler scheme. The numerical results demonstrate that the proposed algorithm has better accuracy and convergence than direct methods based on gradient descent. Furthermore, the algorithm is also simpler, more accurate, and more stable than a deep reinforcement learning method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108603"},"PeriodicalIF":3.4,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143057376","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

Stochastic stability of nonlinear mechanical metamaterial systems under combined Gaussian and Poisson white noises 高斯白噪声和泊松白噪声联合作用下非线性机械超材料系统的随机稳定性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-18 DOI: 10.1016/j.cnsns.2025.108621

Jiaojiao Sun, Zhiqiang Luo, Bo Yan

{"title":"Stochastic stability of nonlinear mechanical metamaterial systems under combined Gaussian and Poisson white noises","authors":"Jiaojiao Sun, Zhiqiang Luo, Bo Yan","doi":"10.1016/j.cnsns.2025.108621","DOIUrl":"10.1016/j.cnsns.2025.108621","url":null,"abstract":"<div><div>Mechanical metamaterials are a class of artificially designed structures usually modeled as high degree-of-freedom (DOF) systems. They, particularly nonlinear mechanical metamaterials, are widely applied in vibration suppression. This manuscript proposes a method to study the stochastic stability of nonlinear mechanical metamaterial systems under combined Gaussian and Poisson white noises. The mathematical model of a nonlinear mechanical metamaterial with <span><math><mi>n</mi></math></span> coupled elements is established, and its governing equation, which is a high-DOF nonlinear stochastic differential equation, is derived. To bypass the challenge of calculating multiple Lyapunov exponents, the governing equation is reduced as a one-dimensional averaged stochastic differential equation by applying the stochastic averaging method. The specific expression of the Lyapunov exponent of the one-dimensional equation is derived by using the two-step generalized elliptic coordinate transformations, and its sign yields the necessary and sufficient condition of stochastic stability. A nonlinear mechanical metamaterial with 10 coupled elements is taken as an example to illustrate the effectiveness of the proposed procedure and to investigate the effect of system parameters on the stochastic stability of nonlinear mechanical metamaterials.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108621"},"PeriodicalIF":3.4,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021215","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

Nonlinear dynamics effect of viscosity of cytosol into the microtubules and exact solutions 黏度对胞浆进入微管及精确溶液的非线性动力学影响

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI: 10.1016/j.cnsns.2025.108615

Tabapsi Kamdem Rostand , Belobo Belobo Didier , Bansi Kamdem Christel Delphin , Dang Koko Adamou , Tabi Conrad Bertrand , Kofané Timoléon Crépin

{"title":"Nonlinear dynamics effect of viscosity of cytosol into the microtubules and exact solutions","authors":"Tabapsi Kamdem Rostand , Belobo Belobo Didier , Bansi Kamdem Christel Delphin , Dang Koko Adamou , Tabi Conrad Bertrand , Kofané Timoléon Crépin","doi":"10.1016/j.cnsns.2025.108615","DOIUrl":"10.1016/j.cnsns.2025.108615","url":null,"abstract":"<div><div>The viscosity of the cytosol plays a crucial role in the biology of microtubules (MTs), affecting their architecture and dynamics function. Understanding the overall functionality of this parameter is essential. The effect of viscosity on MT dynamics is studied when modelling longitudinal and angular displacements. The rotating wave approximation is used to derive two uncoupled complex Ginzburg–Landau (CGL) equations for the longitudinal and angular displacements, respectively. Then, analytical two solitary wave solution types are constructed using the modified Hirota bilinear method. Its appears that the viscosity dampens the longitudinal displacements of MTs by significantly reducing the magnitude of longitudinal waves. In the case of angular displacements, the influence of viscosity is negligible, such that MTs angular displacements are transparent to viscosity. Our analytical predictions are confirmed by numerical solutions with pretty much high accuracy. The solutions obtained offer promising prospects for regulating the viscosity of the cytosol in order to control the assembly, disassembly and stability of MTs.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108615"},"PeriodicalIF":3.4,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021218","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

Stochastic resonance and dynamic event-triggered impulsive control of a variable-order fractional information diffusion system with hybrid noise 含混合噪声的变阶分数级信息扩散系统的随机共振和动态事件触发脉冲控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI: 10.1016/j.cnsns.2025.108607

Ying Jing, Youguo Wang, Qiqing Zhai

{"title":"Stochastic resonance and dynamic event-triggered impulsive control of a variable-order fractional information diffusion system with hybrid noise","authors":"Ying Jing, Youguo Wang, Qiqing Zhai","doi":"10.1016/j.cnsns.2025.108607","DOIUrl":"10.1016/j.cnsns.2025.108607","url":null,"abstract":"<div><div>The processes and control of information diffusion have received significant attention in the information age. Considering the prevalent environmental noise and individual memory, this paper constructs a variable-order fractional information diffusion model on heterogeneous networks, incorporating internal Gaussian white noise and external Lévy noise. Since the introduction of noise leading to stochastic resonance, we define a metric of generalized signal-to-noise ratio (GSNR) to measure the gain effect of noise on the system. To effectively suppress the spread of negative information and promote the dissemination of positive information within the constraints of limited resources, the dynamic event-triggered impulsive control (DETIC) is designed to the variable-order fractional negative–positive information diffusion model with short memory induced by internal and external noise, where it successfully prevent impulse signals from disrupting the non-locality of the fractional-order operator. Besides, the exclusion of Zeno behavior and the stability of the controlled system are proved and it is demonstrated that the minimum execution interval are not less than the corresponding static event-triggered mechanism. Employing the particle swarm optimization (PSO) algorithm, we determine the optimal noise intensities based on the GSNR, along with the optimal DETIC. Comparative experiments and the instance show that the combination of optimal noise intensities and optimal DETIC achieve the best results in suppressing the diffusion of negative information and promoting the dissemination of positive information, which provides valuable guidance for controlling the information diffusion.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108607"},"PeriodicalIF":3.4,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021244","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

Expansion of magnetic fluid around a convex corner into vacuum 磁流体在凸角周围膨胀进入真空

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI: 10.1016/j.cnsns.2025.108609

Fei Zhu

引用次数: 0

New LKF approach for non-weighted L2 gain of switched linear systems with delay 带延迟切换线性系统非加权增益的LKF新方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI: 10.1016/j.cnsns.2025.108612

Yachun Yang , Xiaodi Li , Xinsong Yang

{"title":"New LKF approach for non-weighted L2 gain of switched linear systems with delay","authors":"Yachun Yang , Xiaodi Li , Xinsong Yang","doi":"10.1016/j.cnsns.2025.108612","DOIUrl":"10.1016/j.cnsns.2025.108612","url":null,"abstract":"<div><div>This paper focuses on observer-state feedback control for global asymptotic stabilization (GAS) with non-weighted <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain of switched linear systems with delay. Two kinds of mode-pendent event-triggered control (ETCs) are proposed for both the observer and the controller: one can exclude the Zeno phenomenon and adjust the event intervals by tuning the parameters while the other cannot. An innovative approach is established to ensure the monotonic decrease of the Lyapunov–Krasovskii functional (LKF) at switching moments, which makes it easy to analyze non-weighted <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain of switched time-delay systems without any conservative transformation. Four key conclusions are presented using linear matrix inequalities (LMIs) to show the respective merits of the two ETC schemes. Two effective algorithms are presented to design the observer gains, the triggering weights, the control gains, and the minimum <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gains. Numerical simulations are employed to demonstrate the low conservatism and the merits of the obtained results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108612"},"PeriodicalIF":3.4,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021219","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

Qualitative study for the system of waste plastic management in the ocean: A discrete-time deterministic model 海洋废塑料管理系统的定性研究：一个离散时间确定性模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI: 10.1016/j.cnsns.2025.108617

Mahmood Parsamanesh , Mehmet Gümüş

{"title":"Qualitative study for the system of waste plastic management in the ocean: A discrete-time deterministic model","authors":"Mahmood Parsamanesh , Mehmet Gümüş","doi":"10.1016/j.cnsns.2025.108617","DOIUrl":"10.1016/j.cnsns.2025.108617","url":null,"abstract":"<div><div>Ocean waste is a serious environmental problem affecting marine ecosystems and marine life. A large portion of this waste consists of recyclable materials. If managed correctly, it provides both economic and environmental benefits. By using mathematical models, it is possible to predict the spread of these wastes and develop strategies. In this paper, a discrete-time compartmental model is introduced for the cycle of processing the waste plastic management in the ocean. The model comprises three compartments plastic waste, marine debris, and recycled materials. A system of difference equations is formulated for this process according to the transmissions of materials between compartments. Then two equilibria for the model are obtained; the marine debris-free equilibrium point and the marine debris-included equilibrium point. Also, the basic reproduction number for the model is given, then its stability is investigated and stated in terms of this quantity. Furthermore, the bifurcations of the model including transcritical, period-doubling, and Neimark–Sacker bifurcation, are studied and the conditions for their occurrence are given. The obtained theoretical results are verified via several examples and simulations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108617"},"PeriodicalIF":3.4,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143021217","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

Umbrella Reinforcement Learning – computationally efficient tool for hard non-linear problems 伞式强化学习--针对困难非线性问题的高效计算工具

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI: 10.1016/j.cnsns.2024.108583

Egor E. Nuzhin , Nikolay V. Brilliantov

引用次数: 0