Communications in Nonlinear Science and Numerical Simulation最新文献_第2页

Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system 应用于热交换器系统的非线性海洋捕食者算法，用于鲁棒识别脉冲噪声下的分数锤斯坦非线性模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108809

Zeshan Aslam Khan , Taimoor Ali Khan , Muhammad Waqar , Naveed Ishtiaq Chaudhary , Muhammad Asif Zahoor Raja , Chi-Min Shu

{"title":"Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system","authors":"Zeshan Aslam Khan , Taimoor Ali Khan , Muhammad Waqar , Naveed Ishtiaq Chaudhary , Muhammad Asif Zahoor Raja , Chi-Min Shu","doi":"10.1016/j.cnsns.2025.108809","DOIUrl":"10.1016/j.cnsns.2025.108809","url":null,"abstract":"<div><div>Identification of stiff nonlinear systems is considered as one of the challenging tasks and research community is providing promising solution for identification of these systems. Researchers have concluded that integration of fractional calculus provides better insight and understanding of complex systems by keeping the previous history. In this study, nonlinear marine predator optimization algorithm (NMPA) is used for the identification of fractional Hammerstein control autoregressive system (FHCAR) with Gaussian as well as impulsive noise. Further, a practical example of heat exchanger system modeled with FHCAR structure, is considered to analyze the knacks of NMPA in terms of convergence, robustness and stability. Grunwald-Letnikov's concept of fractional calculus derivative is used to transform standard Hammerstein control autoregressive system into FHCAR system. Mean square error-based fitness function is used to examine the performance of NMPA for identification of 4th order nonlinear FHCAR system for all three case studies i.e., FHCAR with Gaussian noise, FHCAR with impulsive noise and heat exchanger system identification. The performance of NMPA is observed in terms of fast convergence, accuracy, stability, robustness and accuracy in estimation of correct parameters of the system for multiple noise scenarios and the superiority is endorsed through comparison with the recent counterparts i.e., Gazelle optimization algorithm, Runge Kutta optimization method, Whale optimization algorithm, Harris Hawks optimization algorithm and African vulture optimization algorithm.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108809"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735089","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 bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108780

Juan Wang , Feiyan Zhao , Jianxiong Ye , Jichao Wang

{"title":"A bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties","authors":"Juan Wang , Feiyan Zhao , Jianxiong Ye , Jichao Wang","doi":"10.1016/j.cnsns.2025.108780","DOIUrl":"10.1016/j.cnsns.2025.108780","url":null,"abstract":"<div><div>Inverse optimal control is a framework to deal with the optimal control of dynamical systems with uncertain parameters. Bioconversion of glycerol to 1,3-propanediol in continuous fermentation is a complex cellular metabolic process in nature. Due to the unclear metabolic mechanisms and the lack of experimental data of intracellular concentrations, kinetic parameters of the fermentation system are often to a certain degree uncertain. This paper proposes a biobjective inverse optimal control problem with functional inequality constraints to describe the process control of glycerol continuous fermentation system considering the uncertainties of kinetic parameters, where the objectives are formulated based on the biological robustness and the <em>settling time</em> under approximately stable state. A novel distance-based stochastic comparison principle is designed to handle the complex constraints. A bilevel approach using nested strategy is also constructed to solve the biobjective bilevel problem, which is a combination of whale optimization algorithm with the new comparison principle for the lower level and chaotic competitive differential evolution algorithm for the upper level. Numerical comparisons show that the novel comparison principle has certain advantages in convergence speed for 13 benchmark functions compared with two other constraint handling techniques and the obtained optimal dilution rate is effective to avoid glycerol waste for about 30 h. Numerical results show that the proposed bilevel algorithm is effective and practicable to the complex real problem.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108780"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724615","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

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108777

V. Eclerová , A.E. Botha

{"title":"Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction","authors":"V. Eclerová , A.E. Botha","doi":"10.1016/j.cnsns.2025.108777","DOIUrl":"10.1016/j.cnsns.2025.108777","url":null,"abstract":"<div><div>A general method is presented to study the bifurcations that occur in models of anomalous <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> Josephson junctions. To demonstrate the method, a bifurcation analysis is made of the superconductor–ferromagnet–superconductor <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> Josephson junction, in which the Josephson to magnetic energy ratio and the direct current bias are used as the two control parameters. The recently developed embedding technique facilitates the use of standard numerical continuation techniques for the analysis. It reveals that the stability limit can be disrupted through either a Neimark–Sacker or period-doubling bifurcation. The corresponding one-parameter bifurcation manifolds delineate the regions in which further destabilisation occurs, finally leading to chaos. Furthermore, it is shown that the Floquet multipliers along the Neimark–Sacker bifurcation curve signal the synchronisation on the torus. Bi-stability also occurs in the system and is shown to originate from the generalised period-doubling and Chenciner bifurcations. The identification of regions in the parameter space where bi-stability occurs is important for applications which exploit such bi-stability to achieve controlled reorientation of the magnetisation and/or the switching from one voltage state to another.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108777"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725218","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}

引用次数: 0

Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108799

Sifeu Takougang Kingni , Paul Woafo

{"title":"Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators","authors":"Sifeu Takougang Kingni , Paul Woafo","doi":"10.1016/j.cnsns.2025.108799","DOIUrl":"10.1016/j.cnsns.2025.108799","url":null,"abstract":"<div><div>In recent years, the effects of heredity on dynamical systems have been analysed using the fractional derivative. But, another way of considering the heredity is the integral formulation</div><div>proposed by Vito Volterra in 1912 and later almost forgotten. It can also be termed as long duration feedback. This paper presents some of the results of this formulation of the heredity on the dynamics of a linear harmonic oscillator and on that of the Duffing oscillator which are representatives of oscillating mechanical structures. For the linear oscillator, the heredity amplifies the vibration amplitude and shifts the resonance frequency to higher values. For the hereditary hardening Duffing oscillator, the analysis of the stability of the single equilibrium point reveals the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. This leads to self-sustained oscillations which are determined mathematically using the averaging method and confirmed numerically. The heredity also modifies the length of the hysteresis domain through the change of the effective stiffness and damping coefficients. It can also be a source of chaos in a system free of chaos which can appear through quasiperiodic routes and period-doubling. For the hereditary Duffing oscillator with single hump and double well potential or the bistable Duffing oscillator with three equilibrium points, one also finds the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. The hereditary bistable Duffing oscillator unveils monostable and bistable periodic characteristics, period doubling to monostable and bistable chaos and coexistence between chaotic and periodic characteristics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108799"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725217","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

Two-grid FEM for fractional diffusion problems with limited regularity

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-22 DOI: 10.1016/j.cnsns.2025.108776

Mariam Al-Maskari, Samir Karaa

引用次数: 0

Bivariate substitutions from analytic kernels to fractional differintegral operators

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-21 DOI: 10.1016/j.cnsns.2025.108774

Sunday Simon Isah , Arran Fernandez , Mehmet Ali Özarslan

引用次数: 0

Extended thermodynamic and mechanical evolution criterion for fluids

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108775

David Hochberg , Isabel Herreros

{"title":"Extended thermodynamic and mechanical evolution criterion for fluids","authors":"David Hochberg , Isabel Herreros","doi":"10.1016/j.cnsns.2025.108775","DOIUrl":"10.1016/j.cnsns.2025.108775","url":null,"abstract":"<div><div>The Glansdorff and Prigogine General Evolution Criterion (GEC) is an inequality that holds for macroscopic physical systems obeying local equilibrium and that are constrained under time-independent boundary conditions. The latter, however, may prove overly restrictive for many applications involving fluid flow in physics, chemistry and biology. We therefore analyze in detail a physically more-encompassing evolution criterion for time-dependent convective viscous flows with time-dependent boundary conditions: The Extended General Evolution Criterion (EGEC). The result is an inequality involving the sum of a bulk volume and a surface contribution, and reduces to the GEC if and only if the surface term is zero. We first use the closed-form analytical solution of the Poiseuille starting flow problem in straight cylindrical pipes to confirm the validity of the EGEC. Next, we validate both the Poiseuille starting flow problem and the EGEC numerically. Numerical methods are employed to test the EGEC in not fully developed flows within complex geometries, including curvature and torsion, such as those encountered in helical pipes. Notably, knowledge of only the algebraic sign of the surface contribution is sufficient to predict how the volume thermodynamic forces evolve over time and how the system approaches its non-equilibrium stationary state, consistent with the boundary conditions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108775"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748320","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

Sharkovskii theorem for infinite dimensional dynamical systems

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108770

Anna Gierzkiewicz, Robert Szczelina

引用次数: 0

A novel Cercignani–Lampis boundary model for discrete velocity methods in predicting rarefied and multi-scale flows

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108769

Jianfeng Chen , Sha Liu , Rui Zhang , Hao Jin , Congshan Zhuo , Ming Fang , Yanguang Yang , Chengwen Zhong

{"title":"A novel Cercignani–Lampis boundary model for discrete velocity methods in predicting rarefied and multi-scale flows","authors":"Jianfeng Chen , Sha Liu , Rui Zhang , Hao Jin , Congshan Zhuo , Ming Fang , Yanguang Yang , Chengwen Zhong","doi":"10.1016/j.cnsns.2025.108769","DOIUrl":"10.1016/j.cnsns.2025.108769","url":null,"abstract":"<div><div>To extend the discrete velocity method (DVM) and unified methods to more realistic boundary conditions, a Cercignani–Lampis (CL) boundary with different momentum and thermal energy accommodations is proposed and integrated into the DVM framework. By giving the macroscopic flux from the numerical quadrature of the incident molecular distribution, the reflected macroscopic flux can be obtained for the given accommodation coefficients. Then, an anisotropic Gaussian distribution can be found for the reflected molecules, whose parameters are determined by the calculated reflected macroscopic flux. These macroscopic flux and microscopic Gaussian distribution form a complete physical process for the reflected molecules. Furthermore, the CL boundary is integrated into the unified gas-kinetic scheme (UGKS), making it suitable for the simulation of both monatomic and diatomic gas flows, and it accommodates both the conventional Cartesian velocity space and the recently developed efficient unstructured velocity space. Moreover, this new GSI boundary is suitable for both explicit and implicit schemes, offering better performance for flow prediction. Finally, the performance of the new boundary is validated through a series of numerical tests covering a wide range of Knudsen and Mach numbers.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108769"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760562","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 variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108766

Yingying Xie , Qi Li , Liquan Mei , Weilong Wang

{"title":"A variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering","authors":"Yingying Xie , Qi Li , Liquan Mei , Weilong Wang","doi":"10.1016/j.cnsns.2025.108766","DOIUrl":"10.1016/j.cnsns.2025.108766","url":null,"abstract":"<div><div>Combining the stabilized scalar auxiliary variable approach and the variable-step second-order backward difference formula, an adaptive time-stepping scheme is proposed for the two-mode phase-field crystal model with face-centered-cubic ordering. Specifically, introduce an auxiliary variable to handle the nonlinear term and obtain a new equivalent system, then perform a variable-step second-order approximation on the phase-field variable and a variable-step first-order approximation on the auxiliary variable, that is crucial for proving energy stability. Despite employing a low-order approximation for the auxiliary variable, as long as mild constraints are placed on the constant within this auxiliary variable, the second-order temporal accuracy of the phase-field variable will remain unaffected. By utilizing the boundedness of the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msup></math></span> norm for the numerical solution of the phase-field variable on nonuniform temporal grids, this paper performs a thorough error analysis of the fully discrete scheme. Some numerical simulations are conducted to verify the temporal accuracy, mass conservation, and energy dissipation. Additionally, to balance the efficiency and accuracy of the numerical experiments, we have selected an appropriate time-adaptive strategy for long-term simulations of phase transition behavior and crystal growth behavior of the phase-field variable.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108766"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687674","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