Nonlinear truncation based on Taylor expansion has widely been used for the analysis of a real model, while the order of truncation may lead to different behaviors. This paper devotes to investigate the influence of the cubic and fifth order nonlinearity on the bursting oscillations in a relatively simple slow–fast chaotic model. To reveal the characteristics of spiking oscillations, we propose a new type of cross-section based on the excitation, which can be used to compute the projections of Poincaré map conveniently. Higher order nonlinear term may result in more fine structures in a chaotic bursting attractor, implying the trajectory for spiking state alternates between more types of regular oscillations and chaos in turn. Since there exist two choices when the trajectory moving along an equilibrium branches to a pitchfork bifurcation point, it needs two neighboring periods of excitation for the trajectory to finish one cycle of the quiescent and spiking state.
{"title":"Influence of high order nonlinearity on chaotic bursting structure in slow–fast dynamics","authors":"Yeqiang Chen , Miaorong Zhang , Xiaofang Zhang , Qinsheng Bi","doi":"10.1016/j.chaos.2025.116222","DOIUrl":"10.1016/j.chaos.2025.116222","url":null,"abstract":"<div><div>Nonlinear truncation based on Taylor expansion has widely been used for the analysis of a real model, while the order of truncation may lead to different behaviors. This paper devotes to investigate the influence of the cubic and fifth order nonlinearity on the bursting oscillations in a relatively simple slow–fast chaotic model. To reveal the characteristics of spiking oscillations, we propose a new type of cross-section based on the excitation, which can be used to compute the projections of Poincaré map conveniently. Higher order nonlinear term may result in more fine structures in a chaotic bursting attractor, implying the trajectory for spiking state alternates between more types of regular oscillations and chaos in turn. Since there exist two choices when the trajectory moving along an equilibrium branches to a pitchfork bifurcation point, it needs two neighboring periods of excitation for the trajectory to finish one cycle of the quiescent and spiking state.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"194 ","pages":"Article 116222"},"PeriodicalIF":5.3,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552090","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}
Pub Date : 2025-03-05DOI: 10.1016/j.chaos.2025.116203
Amr M. AbdelAty , Mohammed E. Fouda
This work introduces a novel approach to identifying parameters of the fractional-order (FO) Izhikevich spiking neuron model using real neuronal data. The primary contributions include the development of a limited memory numerical simulation scheme based on the modified Product-Integration Rectangular rule and the application of the Marine Predator Algorithm (MPA) to solve the nonlinear optimization problem of parameter identification. Experimental results demonstrate that the fractional-order neuron models significantly outperform the traditional integer-order models, as evidenced by higher median coincidence factors across multiple datasets. Specifically, the fractional-order models with smaller window sizes achieved superior performance, suggesting their potential for more accurate modeling of complex neuronal dynamics. This work paves the way for further exploration of fractional-order models in computational neuroscience, offering enhanced flexibility and precision in simulating neuronal behavior.
{"title":"Fractional-order Izhikevich neuron Model: PI-rules numerical simulations and parameter identification","authors":"Amr M. AbdelAty , Mohammed E. Fouda","doi":"10.1016/j.chaos.2025.116203","DOIUrl":"10.1016/j.chaos.2025.116203","url":null,"abstract":"<div><div>This work introduces a novel approach to identifying parameters of the fractional-order (FO) Izhikevich spiking neuron model using real neuronal data. The primary contributions include the development of a limited memory numerical simulation scheme based on the modified Product-Integration Rectangular rule and the application of the Marine Predator Algorithm (MPA) to solve the nonlinear optimization problem of parameter identification. Experimental results demonstrate that the fractional-order neuron models significantly outperform the traditional integer-order models, as evidenced by higher median coincidence factors across multiple datasets. Specifically, the fractional-order models with smaller window sizes achieved superior performance, suggesting their potential for more accurate modeling of complex neuronal dynamics. This work paves the way for further exploration of fractional-order models in computational neuroscience, offering enhanced flexibility and precision in simulating neuronal behavior.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"194 ","pages":"Article 116203"},"PeriodicalIF":5.3,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552143","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}
Pub Date : 2025-03-05DOI: 10.1016/j.chaos.2025.116168
Yanhua Zhu , Xiangyi Ma , Tonghua Zhang , Jinliang Wang
The tussock sedge, a plant widely distributed in freshwater wetlands across North America, plays a vital role in wetland ecosystems by reinforcing embankments, stabilizing slopes, and preventing soil erosion. However, the aging of sedges leads to the accumulation of significant amounts of plant wracks, which inhibits nutrient replenishment and hinders growth. Therefore, maintaining stable population densities and uniform growth of sedges is no time to delay. In this study, we develop a spatiotemporally discrete coupled map lattices (CMLs) model for the tussock-sedge system. By conducting a linear stability analysis, the stability conditions for the steady state are derived. Then the Flip bifurcation, Neimark–Sacker bifurcation, and Turing bifurcation of the CMLs model are investigated using bifurcation theory and the center manifold theorem. Notably, a proportional–derivative (PD) controller is designed and incorporated into the CMLs model, which can delay the occurrence of Flip bifurcation and Neimark–Sacker bifurcation, thereby preventing the oscillation and chaotic behavior of tussock population density. Additionally, the incorporation of the PD controller broadens the threshold for Turing instability, modifies the types of Turing patterns, and ensures uniform plant growth. Finally, numerical simulations are performed to illustrate the dynamical behaviors of the CMLs model, demonstrating the effectiveness of the PD control implementation.
{"title":"Regulating spatiotemporal dynamics of tussock-sedge coupled map lattices model via PD control","authors":"Yanhua Zhu , Xiangyi Ma , Tonghua Zhang , Jinliang Wang","doi":"10.1016/j.chaos.2025.116168","DOIUrl":"10.1016/j.chaos.2025.116168","url":null,"abstract":"<div><div>The tussock sedge, a plant widely distributed in freshwater wetlands across North America, plays a vital role in wetland ecosystems by reinforcing embankments, stabilizing slopes, and preventing soil erosion. However, the aging of sedges leads to the accumulation of significant amounts of plant wracks, which inhibits nutrient replenishment and hinders growth. Therefore, maintaining stable population densities and uniform growth of sedges is no time to delay. In this study, we develop a spatiotemporally discrete coupled map lattices (CMLs) model for the tussock-sedge system. By conducting a linear stability analysis, the stability conditions for the steady state are derived. Then the Flip bifurcation, Neimark–Sacker bifurcation, and Turing bifurcation of the CMLs model are investigated using bifurcation theory and the center manifold theorem. Notably, a proportional–derivative (PD) controller is designed and incorporated into the CMLs model, which can delay the occurrence of Flip bifurcation and Neimark–Sacker bifurcation, thereby preventing the oscillation and chaotic behavior of tussock population density. Additionally, the incorporation of the PD controller broadens the threshold for Turing instability, modifies the types of Turing patterns, and ensures uniform plant growth. Finally, numerical simulations are performed to illustrate the dynamical behaviors of the CMLs model, demonstrating the effectiveness of the PD control implementation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"194 ","pages":"Article 116168"},"PeriodicalIF":5.3,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552145","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}
Pub Date : 2025-03-05DOI: 10.1016/j.cam.2025.116605
Iván Atencia, José Luis Galán-García, Yolanda Padilla-Domínguez, Pedro Rodríguez-Cielos
This paper examines a discrete-time retrial queueing system where incoming customers can either choose a last-come, first-served (LCFS) discipline or enter an orbit. It accounts for the possibility of varying service times, which follow an arbitrary distribution, and the retrial times are also governed by an arbitrary distribution. The underlying Markov chain of the system has been analyzed, leading to the derivation of the generating function for the number of customers in both the orbit and the overall system, along with their expected values. The paper also establishes the stochastic decomposition law and, as an application, provides bounds for the difference between the steady-state distributions of the system in question and its standard equivalent. Recursive formulas for determining the steady-state distribution of customers in the orbit and the system are presented. The paper derives the distribution of the time a customer spends at the server and, consequently, the distribution of service times subject to possible variations. A detailed analysis of the time a customer spends in the orbit is also conducted. Finally, numerical examples are included to demonstrate how key parameters impact various system characteristics, with the main contributions of the research summarized in the conclusion.
{"title":"A discrete-time queue with service time adjustments and general retrial times","authors":"Iván Atencia, José Luis Galán-García, Yolanda Padilla-Domínguez, Pedro Rodríguez-Cielos","doi":"10.1016/j.cam.2025.116605","DOIUrl":"10.1016/j.cam.2025.116605","url":null,"abstract":"<div><div>This paper examines a discrete-time retrial queueing system where incoming customers can either choose a last-come, first-served (LCFS) discipline or enter an orbit. It accounts for the possibility of varying service times, which follow an arbitrary distribution, and the retrial times are also governed by an arbitrary distribution. The underlying Markov chain of the system has been analyzed, leading to the derivation of the generating function for the number of customers in both the orbit and the overall system, along with their expected values. The paper also establishes the stochastic decomposition law and, as an application, provides bounds for the difference between the steady-state distributions of the system in question and its standard equivalent. Recursive formulas for determining the steady-state distribution of customers in the orbit and the system are presented. The paper derives the distribution of the time a customer spends at the server and, consequently, the distribution of service times subject to possible variations. A detailed analysis of the time a customer spends in the orbit is also conducted. Finally, numerical examples are included to demonstrate how key parameters impact various system characteristics, with the main contributions of the research summarized in the conclusion.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"467 ","pages":"Article 116605"},"PeriodicalIF":2.1,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143571484","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 : 2025-03-05DOI: 10.1007/s00245-025-10235-9
Yuyang Chen, Peng Luo
This paper investigates the stochastic linear-quadratic (LQ, for short) optimal control problems with random coefficients and regime switching in a finite time horizon where the state equation is multi-dimensional. Similar to the classical stochastic LQ problems, we establish the relationship between the stochastic LQ optimal control problems with regime switching and the related extended stochastic Riccati equations. To solve the extended stochastic Riccati equations, we construct a monotone Piccard iterative sequence and present the link between this sequence and solutions of a family of forward-backward stochastic differential equations. Relying on (L^p) estimates for FBSDEs, we show that the extended stochastic Riccati equation has a solution. This partially addresses one question left in Hu et al. (Ann. Appl. Probab. 32(1): 426-460, 2022). Finally, the stochastic LQ optimal control problems with regime switching is solved.
{"title":"Stochastic Linear-Quadratic Optimal Control Problems with Multi-dimensional State, Random Coefficients and Regime Switching","authors":"Yuyang Chen, Peng Luo","doi":"10.1007/s00245-025-10235-9","DOIUrl":"10.1007/s00245-025-10235-9","url":null,"abstract":"<div><p>This paper investigates the stochastic linear-quadratic (LQ, for short) optimal control problems with random coefficients and regime switching in a finite time horizon where the state equation is multi-dimensional. Similar to the classical stochastic LQ problems, we establish the relationship between the stochastic LQ optimal control problems with regime switching and the related extended stochastic Riccati equations. To solve the extended stochastic Riccati equations, we construct a monotone Piccard iterative sequence and present the link between this sequence and solutions of a family of forward-backward stochastic differential equations. Relying on <span>(L^p)</span> estimates for FBSDEs, we show that the extended stochastic Riccati equation has a solution. This partially addresses one question left in Hu et al. (Ann. Appl. Probab. 32(1): 426-460, 2022). Finally, the stochastic LQ optimal control problems with regime switching is solved.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143553939","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 : 2025-03-05DOI: 10.1016/j.chaos.2025.116178
Arnaud Djine , Guy Roger Deffo , Serge Bruno Yamgoué
In this paper, we study the existence and dynamics of solitary waves in the modified Peyrard–Bishop (PB) model of DNA. Firstly, we introduce the solvent interaction function on the usual model and study its effects on the frequency. In the second place, using the semi-discrete approximation, we show that the dynamics of modulated waves in the network are governed by a quintic nonlinear Schrödinger (QNLS) equation. In the quest to find the exact solitary wave solutions, we introduce an ansatz which leads to a cubic–quintic Duffing oscillator equation. Based on the dynamical system approach, we present all phase portraits of the dynamical system. The obtained results show several new phase portraits that cannot exist without the effect of solvent interaction. The exact representations of the nonlinear localized waves corresponding to the homoclinic and heteroclinic orbits in the phase portrait of the dynamical system are given. These waves include bright soliton, kink and anti-kink solitons, and dark soliton. In addition, the impact of solvent parameters on the wave-shape profile of these solutions is studied. It shows that the solvent parameter considerably affects the amplitude and the width of each of the above-enumerated solitary waves.
{"title":"Existence and dynamics of modulated solitary waves in the modified Peyrard–Bishop model of DNA","authors":"Arnaud Djine , Guy Roger Deffo , Serge Bruno Yamgoué","doi":"10.1016/j.chaos.2025.116178","DOIUrl":"10.1016/j.chaos.2025.116178","url":null,"abstract":"<div><div>In this paper, we study the existence and dynamics of solitary waves in the modified Peyrard–Bishop (PB) model of DNA. Firstly, we introduce the solvent interaction function on the usual model and study its effects on the frequency. In the second place, using the semi-discrete approximation, we show that the dynamics of modulated waves in the network are governed by a quintic nonlinear Schrödinger (QNLS) equation. In the quest to find the exact solitary wave solutions, we introduce an ansatz which leads to a cubic–quintic Duffing oscillator equation. Based on the dynamical system approach, we present all phase portraits of the dynamical system. The obtained results show several new phase portraits that cannot exist without the effect of solvent interaction. The exact representations of the nonlinear localized waves corresponding to the homoclinic and heteroclinic orbits in the phase portrait of the dynamical system are given. These waves include bright soliton, kink and anti-kink solitons, and dark soliton. In addition, the impact of solvent parameters on the wave-shape profile of these solutions is studied. It shows that the solvent parameter considerably affects the amplitude and the width of each of the above-enumerated solitary waves.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"194 ","pages":"Article 116178"},"PeriodicalIF":5.3,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552092","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}
Pub Date : 2025-03-05DOI: 10.1016/j.chaos.2025.116189
Danyang Li , Xu Han , Jimin Zhang , Pingping Cong
Autotrophic phytoplankton (autotrophs) and mixotrophic phytoplankton (mixotrophs) are two important types of phytoplankton. Mixotrophs consume autotrophs and both compete for light. We propose a nonlocal reaction–diffusion–advection system that describes the interactions between autotrophs and mixotrophs. Steady state solutions are analyzed by eigenvalue theory of elliptic operators and bifurcation theory. The basic ecological reproductive indices for autotroph and mixotroph invasion are given. We also explore the influences of ecological factors on the autotroph and mixotroph biomass and reveal some ecological mechanisms for the coexistence of autotrophs and mixotrophs. These results can be used to protect phytoplankton biodiversity in aquatic ecosystems.
{"title":"A nonlocal reaction–diffusion–advection system modeling autotroph–mixotroph interactions","authors":"Danyang Li , Xu Han , Jimin Zhang , Pingping Cong","doi":"10.1016/j.chaos.2025.116189","DOIUrl":"10.1016/j.chaos.2025.116189","url":null,"abstract":"<div><div>Autotrophic phytoplankton (autotrophs) and mixotrophic phytoplankton (mixotrophs) are two important types of phytoplankton. Mixotrophs consume autotrophs and both compete for light. We propose a nonlocal reaction–diffusion–advection system that describes the interactions between autotrophs and mixotrophs. Steady state solutions are analyzed by eigenvalue theory of elliptic operators and bifurcation theory. The basic ecological reproductive indices for autotroph and mixotroph invasion are given. We also explore the influences of ecological factors on the autotroph and mixotroph biomass and reveal some ecological mechanisms for the coexistence of autotrophs and mixotrophs. These results can be used to protect phytoplankton biodiversity in aquatic ecosystems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"194 ","pages":"Article 116189"},"PeriodicalIF":5.3,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552146","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}
We study non-negative optimisers of a Gagliardo–Nirenberg-type inequality
{"title":"Ground states of a non-local variational problem and Thomas–Fermi limit for the Choquard equation","authors":"Damiano Greco, Yanghong Huang, Zeng Liu, Vitaly Moroz","doi":"10.1112/jlms.70115","DOIUrl":"https://doi.org/10.1112/jlms.70115","url":null,"abstract":"<p>We study non-negative optimisers of a Gagliardo–Nirenberg-type inequality\u0000\u0000 </p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"111 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70115","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143554470","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}
We consider an extension of the Newton-MR algorithm for nonconvex unconstrained optimization to the settings where Hessian information is approximated. Under a particular noise model on the Hessian matrix, we investigate the iteration and operation complexities of this variant to achieve appropriate sub-optimality criteria in several nonconvex settings. We do this by first considering functions that satisfy the (generalized) Polyak–Łojasiewicz condition, a special sub-class of nonconvex functions. We show that, under certain conditions, our algorithm achieves global linear convergence rate. We then consider more general nonconvex settings where the rate to obtain first-order sub-optimality is shown to be sub-linear. In all these settings we show that our algorithm converges regardless of the degree of approximation of the Hessian as well as the accuracy of the solution to the sub-problem. Finally, we compare the performance of our algorithm with several alternatives on a few machine learning problems.
{"title":"Complexity guarantees for nonconvex Newton-MR under inexact Hessian information","authors":"Alexander Lim, Fred Roosta","doi":"10.1093/imanum/drae110","DOIUrl":"https://doi.org/10.1093/imanum/drae110","url":null,"abstract":"We consider an extension of the Newton-MR algorithm for nonconvex unconstrained optimization to the settings where Hessian information is approximated. Under a particular noise model on the Hessian matrix, we investigate the iteration and operation complexities of this variant to achieve appropriate sub-optimality criteria in several nonconvex settings. We do this by first considering functions that satisfy the (generalized) Polyak–Łojasiewicz condition, a special sub-class of nonconvex functions. We show that, under certain conditions, our algorithm achieves global linear convergence rate. We then consider more general nonconvex settings where the rate to obtain first-order sub-optimality is shown to be sub-linear. In all these settings we show that our algorithm converges regardless of the degree of approximation of the Hessian as well as the accuracy of the solution to the sub-problem. Finally, we compare the performance of our algorithm with several alternatives on a few machine learning problems.","PeriodicalId":56295,"journal":{"name":"IMA Journal of Numerical Analysis","volume":"101 1","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143546178","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 : 2025-03-05DOI: 10.1007/s00245-025-10236-8
Genni Fragnelli, Dimitri Mugnai, Amine Sbai
We study the null controllability for a degenerate/singular wave equation with drift in non divergence form. In particular, considering a control localized on the non degenerate boundary point, we provide some conditions for the boundary controllability via energy methods and boundary observability.
{"title":"Boundary Controllability for Degenerate/Singular Hyperbolic Equations in Nondivergence Form with Drift","authors":"Genni Fragnelli, Dimitri Mugnai, Amine Sbai","doi":"10.1007/s00245-025-10236-8","DOIUrl":"10.1007/s00245-025-10236-8","url":null,"abstract":"<div><p>We study the null controllability for a degenerate/singular wave equation with drift in non divergence form. In particular, considering a control localized on the non degenerate boundary point, we provide some conditions for the boundary controllability via energy methods and boundary observability.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10236-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143553938","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}
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