Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110770
Lintao Shi,Xiongxiong Bao,Chunbin Qin
{"title":"Prescribed-Time Optimal Strategies for Multiplayer Stackelberg-Nash Games via Dynamic Event-Triggered Mechanism","authors":"Lintao Shi,Xiongxiong Bao,Chunbin Qin","doi":"10.1016/j.cnsns.2026.110770","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110770","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"31 1","pages":"110770"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894661","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110797
Dongting Cai,Junxiang Yang
{"title":"A Stabilized BDF2 Scheme for an Allen–Cahn-type Inpainting Model with Fidelity Constraint","authors":"Dongting Cai,Junxiang Yang","doi":"10.1016/j.cnsns.2026.110797","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110797","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"18 1","pages":"110797"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148895904","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110771
Ren-Tai Xiao,Wen-Hao Sun,Ye Tang,Tian-Zhi Yang,Li-Qun Chen,Ming-Hui Yao
{"title":"Vortex-induced vibration response and piezoelectric energy harvesting optimization of a 2-DOF cylindrical riser with linear and nonlinear spring constraint","authors":"Ren-Tai Xiao,Wen-Hao Sun,Ye Tang,Tian-Zhi Yang,Li-Qun Chen,Ming-Hui Yao","doi":"10.1016/j.cnsns.2026.110771","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110771","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"18 1","pages":"110771"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148895907","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110757
Ting Chen, Yanqin Xiong
This paper aims to investigate the quasi-homogeneous center problem and the bifurcation of limit cycles in piecewise smooth differential systems. By applying the higher-order Poincaré-Lyapunov method, we present the explicit conditions for piecewise cubic quasi-homogeneous system to exhibit a global center. Based on one of the center conditions, we prove that such a piecewise system has at least 5 limit cycles bifurcating from the global center. Moreover, by taking advantage of the inherent structure of this piecewise quasi-homogeneous cubic system, we obtain a general expression of its first-order Melnikov function under polynomial perturbations of degree n. This allows us to determine that the Poincaré cyclicity is n+2[n2] in the piecewise smooth case, and n−1 in the smooth one. These findings serve to update and generalize existing results for such cubic quasi-homogeneous systems.
{"title":"Limit cycles in the perturbation of a piecewise cubic quasi-homogeneous system with a global center","authors":"Ting Chen, Yanqin Xiong","doi":"10.1016/j.cnsns.2026.110757","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110757","url":null,"abstract":"This paper aims to investigate the quasi-homogeneous center problem and the bifurcation of limit cycles in piecewise smooth differential systems. By applying the higher-order Poincaré-Lyapunov method, we present the explicit conditions for piecewise cubic quasi-homogeneous system to exhibit a global center. Based on one of the center conditions, we prove that such a piecewise system has at least 5 limit cycles bifurcating from the global center. Moreover, by taking advantage of the inherent structure of this piecewise quasi-homogeneous cubic system, we obtain a general expression of its first-order Melnikov function under polynomial perturbations of degree <ce:italic>n</ce:italic>. This allows us to determine that the Poincaré cyclicity is <mml:math altimg=\"si4.svg\"><mml:mrow><mml:mi>n</mml:mi><mml:mo linebreak=\"goodbreak\">+</mml:mo><mml:mn>2</mml:mn><mml:mo>[</mml:mo><mml:mfrac><mml:mi>n</mml:mi><mml:mn>2</mml:mn></mml:mfrac><mml:mo>]</mml:mo></mml:mrow></mml:math> in the piecewise smooth case, and <mml:math altimg=\"si5.svg\"><mml:mrow><mml:mi>n</mml:mi><mml:mo linebreak=\"goodbreak\">−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> in the smooth one. These findings serve to update and generalize existing results for such cubic quasi-homogeneous systems.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"43 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148884151","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110780
Guichao Yang
{"title":"Advanced multilayer neuroadaptive asymptotic motion control of hydraulic robotic manipulators","authors":"Guichao Yang","doi":"10.1016/j.cnsns.2026.110780","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110780","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":"110780"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894652","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110781
Anh Tuan Vo,Van Cuong Nguyen,Thanh Nguyen Truong,Ic-Pyo Hong
{"title":"Robust Sliding Mode Control of Wheeled Mobile Robots With Predefined-Time Performance and Chattering Reduction","authors":"Anh Tuan Vo,Van Cuong Nguyen,Thanh Nguyen Truong,Ic-Pyo Hong","doi":"10.1016/j.cnsns.2026.110781","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110781","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"379 1","pages":"110781"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148895908","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110755
Niels Goedegebure, Kateryna Marynets
We prove conditions for existence of analytical solutions for boundary value problems with the Hilfer fractional derivative, generalizing the commonly used Riemann-Liouville and Caputo operators. The boundary values, referred to in this paper as fractional-periodic, are fractional integral conditions generalizing recurrent solution values for the non-Caputo case of the Hilfer fractional derivative. Analytical solutions to the studied problem are obtained using a perturbation of the corresponding initial value problem with enforced boundary conditions. In general, solutions to the boundary value problem are singular for t↓0. To overcome this singularity, we construct a sequence of converging solutions in a weighted continuous function space. We present a Bernstein spline-based implementation to numerically approximate solutions. We prove convergence of the numerical method, providing convergence criteria and asymptotic convergence rates. Numerical examples show empirical convergence results corresponding with the theoretical bounds. Moreover, the method is able to approximate the singular behavior of solutions and is demonstrated to converge for nonlinear problems. Finally, we apply a grid search to obtain correspondence to the original, non-perturbed system.
{"title":"Nonlinear fractional-periodic boundary value problems with Hilfer fractional derivative: existence and numerical approximations of solutions","authors":"Niels Goedegebure, Kateryna Marynets","doi":"10.1016/j.cnsns.2026.110755","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110755","url":null,"abstract":"We prove conditions for existence of analytical solutions for boundary value problems with the Hilfer fractional derivative, generalizing the commonly used Riemann-Liouville and Caputo operators. The boundary values, referred to in this paper as fractional-periodic, are fractional integral conditions generalizing recurrent solution values for the non-Caputo case of the Hilfer fractional derivative. Analytical solutions to the studied problem are obtained using a perturbation of the corresponding initial value problem with enforced boundary conditions. In general, solutions to the boundary value problem are singular for <ce:italic>t</ce:italic>↓0. To overcome this singularity, we construct a sequence of converging solutions in a weighted continuous function space. We present a Bernstein spline-based implementation to numerically approximate solutions. We prove convergence of the numerical method, providing convergence criteria and asymptotic convergence rates. Numerical examples show empirical convergence results corresponding with the theoretical bounds. Moreover, the method is able to approximate the singular behavior of solutions and is demonstrated to converge for nonlinear problems. Finally, we apply a grid search to obtain correspondence to the original, non-perturbed system.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"20 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148884152","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110784
Lili Zhang,Dayi Qu,Hanjun Jiang,Fuhao Liu,Meng Rao,Jiahao Liu,Yueyao Xiao,Guimian Liu
{"title":"An Improved Dynamic Model for Spur Gears with Velocity-Dependent Mesh Stiffness and Fractal Backlash under Various Support Stiffness","authors":"Lili Zhang,Dayi Qu,Hanjun Jiang,Fuhao Liu,Meng Rao,Jiahao Liu,Yueyao Xiao,Guimian Liu","doi":"10.1016/j.cnsns.2026.110784","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110784","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"17 1","pages":"110784"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894655","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}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110753
Tao Zhang,Xiao-Zhen Yu,Yanling Wan
{"title":"Grey prediction method for Functional Time Series","authors":"Tao Zhang,Xiao-Zhen Yu,Yanling Wan","doi":"10.1016/j.cnsns.2026.110753","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110753","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"214 1","pages":"110753"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894656","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}
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