Relevant bibliographies by topics / Hopf Equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Hopf Equation'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Hopf Equation"

1

Tobisch, Elena, and Efim Pelinovsky. "Modular Hopf equation." Applied Mathematics Letters 97 (November 2019): 1–5. http://dx.doi.org/10.1016/j.aml.2019.05.009.

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N O, Onuoha. "Transformation of Parabolic Partial Differential Equations into Heat Equation Using Hopf Cole Transform." International Journal of Science and Research (IJSR) 12, no. 6 (2023): 1741–43. http://dx.doi.org/10.21275/sr23612082710.

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Wang, Chuncheng. "Normal Forms for Partial Neutral Functional Differential Equations with Applications to Diffusive Lossless Transmission Line." International Journal of Bifurcation and Chaos 30, no. 02 (2020): 2050028. http://dx.doi.org/10.1142/s0218127420500285.

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A class of partial neutral functional differential equations are considered. For the linearized equation, the semigroup properties and formal adjoint theory are established. Based on these results, we develop two algorithms of normal form computation for the nonlinear equation, and then use them to study Hopf bifurcation problems of such equations. In particular, it is shown that the normal forms, derived from these two different approaches, for the Hopf bifurcation are exactly the same. As an illustration, the diffusive lossless transmission line equation where a Hopf singularity occurs is st
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Ghosal, Amitava. "Wiener‐Hopf Equation Revisited." Kybernetes 23, no. 6/7 (1994): 128–32. http://dx.doi.org/10.1108/03684929410068415.

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Militaru, G. "The hopf modules category and the hopf equation." Communications in Algebra 26, no. 10 (1998): 3071–97. http://dx.doi.org/10.1080/00927879808826329.

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Boziev, Oleg L., and Mukhamed A. Abazokov. "APPROXIMATION OF THE HOPF EQUATION BY LOADED EQUATIONS." Bulletin of the Moscow State Regional University (Physics and Mathematics), no. 1 (2020): 28–36. http://dx.doi.org/10.18384/2310-7251-2020-1-28-36.

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WANG, JINGNAN, and WEIHUA JIANG. "HOPF BIFURCATION ANALYSIS OF TWO SUNFLOWER EQUATIONS." International Journal of Biomathematics 05, no. 01 (2012): 1250001. http://dx.doi.org/10.1142/s1793524511001349.

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In this paper, two sunflower equations are considered. Using delay τ as a parameter and applying the global Hopf bifurcation theorem, we investigate the existence of global Hopf bifurcation for the sunflower equation. Furthermore, we analyze the local Hopf bifurcation of the modified equation with nonlinear relation about stem's increase, including the occurrence, the bifurcation direction, the stability and the approximation expression of the bifurcating periodic solution using the theory of normal form and center manifold. Finally, the obtained results of these two equations are compared, wh
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ZHENG, HUIHUI, FANGSHU LI, and TIANSHUI MA. "HOPF CO-BRACE, BRAID EQUATION AND BICROSSED." Mathematical Reports 25(75), no. 3 (2023): 481–93. http://dx.doi.org/10.59277/mrar.2023.25.75.3.481.

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In this paper, we mainly give some equivalent characterisations of Hopf cobraces, show that the full subcategory HCB(A) of Hopf co-braces is equivalent to the full subcategory C(A) of bijective 1-cocycles, and prove that the full subcategory HCB(A) is also equivalent to the category M(A) of Hopf matched pairs. Moreover, we construct many Hopf co-braces on polynomial Hopf algebras, Long copaired Hopf algebras and Drinfel’d doubles of finite dimensional Hopf algebras. And we also give a sufficient and necessary condition for a given bicrossed coproduct A ▷◁ H to be a Hopf co-brace if A or H is a
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Sgibnev, M. S. "Homogeneous conservative Wiener-Hopf equation." Sbornik: Mathematics 198, no. 9 (2007): 1341–50. http://dx.doi.org/10.1070/sm2007v198n09abeh003886.

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Mirsaburova, Gulbaxor. "DERIVATION OF THE WIENER-HOPF INTEGRAL EQUATION." Multidisciplinary Journal of Science and Technology 4, no. 10 (2024): 284–92. https://doi.org/10.5281/zenodo.14001950.

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The problem with Bitsadze-Samarskii conditions on the boundary of ellipticity and a segment of the degeneracy line and the displacement condition on pieces of the boundary characteristics of the Gelleristedt equation with a singular coefficient is investigated. The uniqueness of the solution to the problem is proved using the maximum principle, and the existence of the solution is proved using the method of integral equations.
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Dissertations / Theses on the topic "Hopf Equation"

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Chifan, Iustina. "Hopf Bifurcation Analysis for a Variant of the Logistic Equation with Delays." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40504.

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This thesis contains some results on the behavior of a delay differential equation (DDE) with two delays, at a Hopf bifurcation, for the nonzero equilibrium, using the growth rate, r, as bifurcation parameter. This DDE is a model for population growth, incorporating a maturation delay, and a second delay in the harvesting term. Considering a Taylor expansion of the non-dimensionalized model, we find a region of stability for the nonzero equilibrium, after which we find a pair of ODEs which help define the flow on the center manifold. We then find an expression for the first Lypapunov coefficie
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Correia, Joaquim, Costa Fernando da, Sackmone Sirisack, and Khankham Vongsavang. "Burgers' Equation and Some Applications." Master's thesis, Edited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laos, 2017. http://hdl.handle.net/10174/26615.

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In this thesis, I present Burgers' equation and some of its applications. I consider the inviscid and the viscid Burgers' equations and present different analytical methods for their study: the Method of Characteristics for the inviscid case, and the Cole-Hopf Transformation for theviscid one. Two applications of Burgers' equations are given: one in simple models of Traffic Flow (which have been introduced independently by Lighthill-Whitham and Richards) and another in Coagulation theory (in which we use Laplace Transform to obtain Burgers' equations from the original coagulation integro-diffe
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Soares, Júnior César Alves 1986. "Simetrias de Lie da equação de Burgers generalizada." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307217.

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Orientador: Igor Leite Freire<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-19T07:51:21Z (GMT). No. of bitstreams: 1 Soares_JuniorCesarAlves_M.pdf: 448504 bytes, checksum: 3bdbb23b41bf8a05b373b9117cd9aa9b (MD5) Previous issue date: 2011<br>Resumo: Neste trabalho, é estudada uma generalização da equação de Burgers do ponto de vista da teoria de simetrias de Lie<br>Abstract: In this work, a generalization of Burgers equation is studied from the point of view of Lie point symmetr
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Bruned, Yvain. "Equations Singulières de type KPZ." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066517/document.

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Dans cette thèse, on s'intéresse à l'existence et à l'unicité d'une solution pour l'équation KPZ généralisée. On utilise la théorie récente des structures de régularité inspirée des chemins rugueux et introduite par Martin Hairer afin de donner sens à ce type d'équations singulières. La procédure de résolution comporte une partie algébrique à travers la définition du groupe de renormalisation et une partie stochastique avec la convergence de processus stochastiques renormalisés. Une des améliorations notoire de ce travail apportée aux structures de régularité est la définition du groupe de ren
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Cormier, Quentin. "Comportement en temps long d'un modèle champ moyen de neurones à décharge en interactions." Thesis, Université Côte d'Azur, 2021. http://www.theses.fr/2021COAZ4008.

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Nous étudions le comportement en temps long d'une équation différentielle stochastique (EDS) de type McKean-Vlasov, dirigée par une mesure de Poisson. En neurosciences, cette EDS modélise la dynamique du potentiel de membrane d'un neurone typique dans un grand réseau. Le modèle peut-être obtenu en considérant un réseau fini de neurones de type Intègre-Et-Tire généralisé et en prenant la limite où le nombre de neurones tend vers l'infini. Cette EDS est donc un modèle champ moyen de neurones à décharge.Nous étudions l'existence et l'unicité de la solution de cette EDS McKean-Vlasov et nous donno
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Fu, Xiaoming. "Reaction-diffusion Equations with Nonlinear and Nonlocal Advection Applied to Cell Co-culture." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0216/document.

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Cette thèse est consacrée à l’étude d’une classe d’équations de réaction-diffusion avec advection non-locale. La motivation vient du mouvement cellulaire avec le phénomène de ségrégation observé dans des expérimentations de co-culture cellulaire. La première partie de la thèse développe principalement le cadre théorique de notre modèle, à savoir le caractère bien posé du problème et le comportement asymptotique des solutions dans les cas d'une ou plusieurs espèces.Dans le Chapitre 1, nous montrons qu'une équation scalaire avec un noyau non-local ayant la forme d'une fonction étagée, peut indui
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Risler, Ronan Thomas. "Comportement critique d'oscillateurs couplés : groupe de renormalisation et classe d'universalité." Paris 6, 2003. https://tel.archives-ouvertes.fr/tel-00004449v2.

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Boullu, Lois. "Étude d’équations à retard appliquées à la régulation de la production de plaquettes sanguines." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1239/document.

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L’objectif de cette thèse est d’étudier, à l’aide de modèles mathématiques, le mécanisme de régulation qui permet au corps de maintenir une quantité optimale de plaquettes sanguines. Le premier chapitre présente le contexte biologique et mathématique. Dans un second chapitre, un modèle pour la mégacaryopoïèse est introduit qui suppose une régulation ponctuelle par le nombre de plaquettes du taux de différentiation des cellules souches vers la lignée mégacaryocytaire et du nombre de plaquettes produites par mégacaryocyte. Nous montrons que la dynamique de ce modèle est régie par une équation di
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Santos, Maria Rosilene Barroso dos. "A Equação de Codazzi em superfícies." Universidade Federal de São Carlos, 2011. https://repositorio.ufscar.br/handle/ufscar/5875.

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Made available in DSpace on 2016-06-02T20:28:26Z (GMT). No. of bitstreams: 1 3607.pdf: 812338 bytes, checksum: 91108524a60d3c2bfecd137f9fcbc74b (MD5) Previous issue date: 2011-03-04<br>Financiadora de Estudos e Projetos<br>In this work, based on the article The Codazzi Equation for Surfaces by Juan A. Aledo, José M. Espinar and José A. Gálvez [8], we describe some applications of an abstract theory for the Codazzi equation on surfaces. This theory deals with abstract pairs of quadratic forms on a surface, in particular the so-called Codazzi pairs, for which the Codazzi equation is satisfie
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林福榮 and Fu-rong Lin. "Fast iterative methods for Wiener-Hopf equations." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1995. http://hub.hku.hk/bib/B30171489.

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Books on the topic "Hopf Equation"

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Schauenburg, Peter. On coquasitriangular Hopf algebras and the quantum Yang-Baxter equation. R. Fischer, 1992.

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Goodrich, John W. Hopf bifurcation in the driven cavity. NASA, 1989.

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E, Gustafson Karl, Halasi Kadosa, United States. National Aeronautics and Space Administration., and Lewis Research Center. Institute for Computational Mechanics in Propulsion., eds. Hopf bifurcation in the driven cavity. NASA, 1989.

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1946-, Demuth Michael, ed. Schrödinger operators, Markov semigroups, wavelet analysis, operator algebras. Akademie Verlag, 1996.

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Dellnitz, Michael. Hopf-Verzweigung in Systemen mit Symmetrie und deren numerische Behandlung. Verlag an der Lottbek, 1989.

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Gohberg, I., ed. Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8596-6.

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1928-, Gohberg I., ed. Continuous and discrete Fourier transforms, extension problems, and Wiener-Hopf equations. Birkhäuser Verlag, 1992.

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Ebrahimi-Fard, Kurusch, and Frédéric Fauvet, eds. Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series. European Mathematical Society Publishing House, 2015. http://dx.doi.org/10.4171/143.

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Noble, Ben. Methods based on the Wiener-Hopf technique for the solution of partial differential equations. 2nd ed. Chelsea Pub. Co., 1988.

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G, Larson Richard, and United States. National Aeronautics and Space Administration., eds. Hopf-algebraic structure of combinatorial objects and different operators. National Aeronautics and Space Administration, 1989.

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Book chapters on the topic "Hopf Equation"

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Vishik, M. J., and A. V. Fursikov. "The Hopf Equation." In Mathematical Problems of Statistical Hydromechanics. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-1423-0_6.

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Sengupta, Tapan K. "Landau Equation and Multiple Hopf-Bifurcation." In Instabilities of Flows: With and Without Heat Transfer and Chemical Reaction. Springer Vienna, 2010. http://dx.doi.org/10.1007/978-3-7091-0127-8_5.

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Caenepeel, Stefaan, Gigel Militaru, and Shenglin Zhu. "6. Hopf modules and the pentagon equation." In Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-48042-6_6.

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Staffans, Olof J. "Hopf Bifurcation for an Infinite Delay Functional Equation." In Dynamics of Infinite Dimensional Systems. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-86458-2_28.

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Misbah, Chaouqi. "Universal Amplitude Equation in the Neighborhood of a Hopf Bifurcation." In Complex Dynamics and Morphogenesis. Springer Netherlands, 2016. http://dx.doi.org/10.1007/978-94-024-1020-4_6.

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Ambrosio, Luigi, Elia Brué, and Daniele Semola. "Lecture 16: The Continuity Equation and the Hopf-Lax Semigroup." In UNITEXT. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72162-6_16.

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Ambrosio, Luigi, Elia Brué, and Daniele Semola. "Lecture XVI: The Continuity Equation and the Hopf-Lax Semigroup." In UNITEXT. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-76834-7_16.

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Danilov, Vladimir G., and Georgii A. Omel’yanov. "Calculation of the Singularity Dynamics for Quadratic Nonlinear Hyperbolic Equations. Example: the Hopf Equation." In Nonlinear Theory of Generalized Functions. Routledge, 2022. http://dx.doi.org/10.1201/9780203745458-6.

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Lambe, Larry A., and David E. Radford. "Quasitriangular Algebras, Bialgebras, Hopf Algebras and The Quantum Double." In Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-4109-7_6.

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Gohberg, I., and M. A. Kaashoek. "The Wiener-Hopf Method for the Transport Equation: a Finite Dimensional Version." In Modern Mathematical Methods in Transport Theory. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5675-1_3.

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Conference papers on the topic "Hopf Equation"

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Kolundzija, Branko M. "Advantage of Modeling Using HOBF (Higher Order Basis Functions) for Solving Integral Equation Based Methods." In 16th International Zurich Symposium and Technical Exposition on Electromagnetic Compatibility. IEEE, 2005. https://doi.org/10.23919/emc.2005.10806467.

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Daniele, Vito, and Guido Lombardi. "The Fredholm Factorization Method Directly Applied to Generalized Wiener-Hopf Equations for Wedge Diffraction Problems in Complex Media." In 2024 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2024. http://dx.doi.org/10.1109/iceaa61917.2024.10701728.

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Darti, I. "Hopf bifurcation in Hutchinson’s equation with distributed delay." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882471.

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Hyodo, H., and T. Biwa. "Evolution equation of subcritical Hopf bifurcation in thermoacoustic oscillations." In RECENT DEVELOPMENTS IN NONLINEAR ACOUSTICS: 20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4934433.

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Pillai, Bipin Sankar Gopalakrishna, and Ampalavanapillai Nirmalathas. "OSNR and chromatic dispersion monitoring using Wiener-Hopf equation." In 2009 14th OptoElectronics and Communications Conference (OECC). IEEE, 2009. http://dx.doi.org/10.1109/oecc.2009.5222048.

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Seslavin, A. I. "SOLVING THE OPTIMAL WIENER ESTIMATION PROBLEM WITHOUT USING THE WIENER-HOPF EQUATION." In Intelligent transport systems. Russian University of Transport, 2024. http://dx.doi.org/10.30932/9785002446094-2024-450-455.

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The optimal filtration problem and its generalizations were first presented by the outstanding American mathematician Norbert Wiener in 1942. At the same time, in his works, he relied on the research presented in a joint work with E. Hopf from 1931, where the equation that now bears the name of both authors was investigated. Therefore, obtaining the final results initially consisted of the following two stages: variational obtaining of the Wiener-Hopf equation and solving this equation by using the concepts of factorization and splitting. The paper presents a more direct way to solve the class
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Lelkes, János, and Tamás Kalmár-Nagy. "Harmonically Excited Delay Equation for Machine Tool Vibrations." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-86145.

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A machining tool can be subject to different kinds of excitations. The forcing may have external sources (such as rotating imbalance or misalignment of the workpiece) or it can arise from the cutting process itself (e.g. chip formation). We investigate the classical tool vibration model which is a delay-differential equation with a quadratic and cubic nonlinearity and periodic forcing. The method of multiple scales was used to derive the slow-flow equations. The resonance curves of the system are similar to those for the Duffing-equation, having a hardening characteristic. Stability analysis f
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Daniele, Vito, and Guido Lombardi. "Modified Bresler-Marcuvitz Transverse Equation Theory for Wedge Shaped Regions to derive Generalized Wiener-Hopf Equations." In 2021 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2021. http://dx.doi.org/10.1109/iceaa52647.2021.9539581.

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Al-Saif, Nahdh S. M., Mahmood A. Shamran, and Saad N.Al-Azzawi. "Numerical solution for Wiener-Hopf integral equation using artificial neural network." In PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0093389.

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AMDJADI, FARIDON. "Multiple Hopf bifurcation in problems with O(2) symmetry: Kuramoto-Sivashinky equation." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812794543_0002.

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