Physica D: Nonlinear Phenomena最新文献_第8页

Modeling the impacts of chemical substances and time delay to mitigate regional atmospheric pollutants and enhance rainfall

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134507

Gauri Agrawal , Alok Kumar Agrawal , A.K. Misra

{"title":"Modeling the impacts of chemical substances and time delay to mitigate regional atmospheric pollutants and enhance rainfall","authors":"Gauri Agrawal , Alok Kumar Agrawal , A.K. Misra","doi":"10.1016/j.physd.2024.134507","DOIUrl":"10.1016/j.physd.2024.134507","url":null,"abstract":"<div><div>Rainfall, a crucial process of the hydrological cycle, involves the condensation of atmospheric cloud droplets into raindrops that fall on the Earth’s surface, providing essentials for human well-being and ecosystem. Research studies show that the condensation–nucleation process for forming raindrops is reduced due to atmospheric pollutants. In this scenario, introducing chemical substances may effectively mitigate regional atmospheric pollution, and reduced atmospheric pollution may lead to adequate rainfall. In the present research work, we analyze rainfall dynamics using a modeling approach with the incorporation of a time lag involved between measuring the data for atmospheric pollution and introducing chemical substances in the regional atmosphere. Here, we assume the formation rate of cloud droplets as a decreasing function of atmospheric pollutants. It is also assumed that introducing chemical substances reduces regional atmospheric pollution. Involving time delay as a bifurcation parameter, we analyze the stability, direction, and period of the bifurcating periodic solutions arising through Hopf bifurcation. Along with this, the presented numerical simulations corroborate the analytical results of our mathematical model. The modeling study reveals that the use of chemical substances in proportion to the concentration of atmospheric pollutants measured at time (<span><math><mrow><mi>t</mi><mo>−</mo><mi>τ</mi></mrow></math></span>) becomes crucial to mitigate the atmospheric pollutants because as time delay exceeds a threshold value, the system loses its stability and undergoes Hopf bifurcation.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134507"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Generalized and new solutions of the NRT nonlinear Schrödinger equation

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134515

P.R. Gordoa, A. Pickering, D. Puertas-Centeno, E.V. Toranzo

引用次数: 0

Breathers and mixed oscillatory states near a Turing–Hopf instability in a two–component reaction–diffusion system

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134482

Fahad Al Saadi , Edgar Knobloch , Alexander Meiners , Hannes Uecker

{"title":"Breathers and mixed oscillatory states near a Turing–Hopf instability in a two–component reaction–diffusion system","authors":"Fahad Al Saadi , Edgar Knobloch , Alexander Meiners , Hannes Uecker","doi":"10.1016/j.physd.2024.134482","DOIUrl":"10.1016/j.physd.2024.134482","url":null,"abstract":"<div><div>Numerical continuation is used to study the interaction between a finite wave number Turing instability and a zero wave number Hopf instability in a two-species reaction-diffusion model of a semiconductor device. The model admits two such codimension-two interactions, both with a subcritical Turing branch that is responsible for the presence of spatially localized Turing states. The Hopf branch may also be subcritical. We uncover a large variety of spatially extended and spatially localized states in the vicinity of these points and by varying a third parameter show how disconnected branches of time-periodic spatially localized states can be “zipped up” into snaking branches of time-periodic oscillations. These are of two types: a Turing state embedded in an oscillating background, and a breathing Turing state embedded in a non-oscillating background. Stable two-frequency states resembling a mixture of these two states are also identified. Our results are complemented by direct numerical simulations. The findings explain the origin of the large multiplicity of localized steady and oscillatory patterns arising from the Turing–Hopf interaction and shed light on the competition between them.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134482"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134546

Sebastián Echeverría-Alar , Marcel G. Clerc

{"title":"Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals","authors":"Sebastián Echeverría-Alar , Marcel G. Clerc","doi":"10.1016/j.physd.2025.134546","DOIUrl":"10.1016/j.physd.2025.134546","url":null,"abstract":"<div><div>Nematic liquid crystals offer a rich playground to explore the nonlinear interaction between light and matter. This richness is significantly expanded when nematic liquid crystals are doped with chiral molecules. In simple words, a favorable twist is introduced at a mesoscopic scale in the system, which is manifested through a characteristic length scale, the helical pitch. A classical controlled experiment to observe the response of chiral nematic liquid crystals to external stimuli, is to fill a liquid crystal cell and apply a continuous electrical current. The aftermath will depend on a balance between the elastic and electric properties of the material, the amplitude and frequency of the electric signal, and the competition between the helical pitch and the cell thickness. Although this balance have been studied experimentally and numerically to some extent, the theoretical side of it has been underexplored. In this work, using weakly nonlinear analysis, we derive from first principles a supercritical Ginzburg–Landau type of equation, enabling us to determine theoretically the intricate balance between physical properties that govern the emergence of some chiral textures in the system. Specifically, we focus on how positive and negative vortex solutions of a real cubic Ginzburg–Landau equation are affected by the presence of chirality. We use numerical simulations to show that +1 vortices undergo isotropic stretching, while -1 vortices experience anisotropic deformation, which can be inferred from the free energy of the system. These deformations are in agreement with previous experimental observations. Additionally, we show that it is possible to break the monotonous spatial profile of positive vortices in the presence of chirality.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"473 ","pages":"Article 134546"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143132102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Stability analysis of a charged particle subject to two non-stationary currents

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134535

Stefano Marò, Francisco Prieto-Castrillo

引用次数: 0

Exploring population oscillations: Cross-coupling and dispersal effects in prey–predator dynamics

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134525

Debjani Mondal , Moitri Sen , Deeptajyoti Sen

{"title":"Exploring population oscillations: Cross-coupling and dispersal effects in prey–predator dynamics","authors":"Debjani Mondal , Moitri Sen , Deeptajyoti Sen","doi":"10.1016/j.physd.2025.134525","DOIUrl":"10.1016/j.physd.2025.134525","url":null,"abstract":"<div><div>In this investigation, we explore the dynamics of a predator–prey metapopulation model with two identical patches, emphasizing the coupling mechanism through the predators’ dispersal. The coupling mechanism is a particular case of nearest-neighbor coupling, defined by cross-predation, which depicts the fact that the predators have alternative food resources. The study focuses on how dispersion rates and cross-predation affect species coexistence and system dynamics induced by different kinds of bifurcations associated with periodic orbits and stable states. We examined the structural organization of attractors using bifurcation theory and discovered a variety of intricate dynamics, such as symmetric, asymmetric, boundary, and asynchronous attractors. The onset of synchronous and asynchronous dynamical attractors associated with periodic orbits are analyzed by varying the level of coupling strength and the degree of dispersal rates. Another intriguing phenomenon that occurs in our system is the formation of chaotic attractors with asymmetric dynamics from quasi-periodicity as a result of the Neimark-Sacker (NS) bifurcation. We elucidate the emergence and suppression of chaos using the Poincare return map concept. Our system also exhibits intriguing phenomena, such as bistability and multistability, which indicate that it is capable of preserving ecological diversity and enhancing the level of population persistence. Finally, our findings demonstrate that the system’s dynamics are substantially diverse when the dispersal rate is low with limited coupling strengths. The conclusions have a significant impact on the fields of population and evolution science, improving our knowledge of the complex dynamics found in dispersed ecosystems.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134525"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

The inverse problem for periodic travelling waves of the linear 1D shallow-water equations

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134496

Robert Hakl , Pedro J. Torres

引用次数: 0

Propagation dynamics in epidemic models with two latent classes

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134509

Guo Lin

引用次数: 0

High-order optical rogue waves in two coherently coupled nonlinear Schrödinger equations

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134538

Juan-Juan Qi, Deng-Shan Wang

引用次数: 0

Nonlinear characteristics of various local waves on nonzero backgrounds of a (2+1)-dimensional generalized Kadomtsev–Petviashvili equation with variable coefficients

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134501

Na Lv , Jiaping Sun , Runfa Zhang , Xuegang Yuan , Yichao Yue

{"title":"Nonlinear characteristics of various local waves on nonzero backgrounds of a (2+1)-dimensional generalized Kadomtsev–Petviashvili equation with variable coefficients","authors":"Na Lv , Jiaping Sun , Runfa Zhang , Xuegang Yuan , Yichao Yue","doi":"10.1016/j.physd.2024.134501","DOIUrl":"10.1016/j.physd.2024.134501","url":null,"abstract":"<div><div>In this paper, a (2+1)-dimensional generalized Kadomtsev–Petviashvili (KP) equation with variable coefficients is studied by the symmetry transformation and bilinear neural network method. By constructing the “3-3-1” neural network models, various important analytical solutions of the equation are successfully obtained, including the breather wave solutions, rogue wave solutions and interaction solutions. Then the evolution behaviors of these analytical solutions are analyzed through selecting appropriate parameters and 3D animations. Specially, three interesting interaction phenomena are presented, i.e., the rogue waves are generated from two moving solitary waves, which have different evolution behaviors on different nonzero background waves. The study of various local waves is helpful to understand the dynamic characteristics of the nonlinear waves, and may be further applied in the fields of scientific research and engineering practice. This paper is used to provide the theoretical guidance and references for the research of studying the evolutions of nonlinear waves in optics, fluid mechanics, and other fields.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134501"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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