Relevant bibliographies by topics / Jacobi elliptic functions

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  2. Dissertations / Theses
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Academic literature on the topic 'Jacobi elliptic functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Jacobi elliptic functions"

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Bawa, Parveen. "Elliptic Functions With A View Toward Jacobi Hyperbolic Functions." Global Journal For Research Analysis 3, no. 4 (2012): 66–68. http://dx.doi.org/10.15373/22778160/apr2014/21.

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Laville, Guy, and Ivan Ramadanoff. "Jacobi Elliptic Cliffordian Functions." Complex Variables, Theory and Application: An International Journal 47, no. 9 (2002): 787–802. http://dx.doi.org/10.1080/02781070290032243.

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HARDY, YORICK, W. H. STEEB, and R. STOOP. "JACOBI ELLIPTIC FUNCTIONS, NONLINEAR EVOLUTION EQUATIONS AND RECURSION." International Journal of Modern Physics C 11, no. 01 (2000): 27–31. http://dx.doi.org/10.1142/s0129183100000031.

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Jacobi elliptic functions play a central role in nonlinear evolution equations. We show how with one recursive call we can calculate the Jacobi elliptic functions sn, cn, and dn. We give an implementation using C++.
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Myung, Hyo Chul, and Dong Soo Lee. "Jacobi elliptic algebras of SO(3)." Glasgow Mathematical Journal 39, no. 1 (1997): 115–20. http://dx.doi.org/10.1017/s0017089500031980.

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Elías-Zúñiga, Alex, Luis Manuel Palacios-Pineda, Isaac H. Jiménez-Cedeño, Oscar Martínez-Romero, and Daniel Olvera Trejo. "He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions." Journal of Low Frequency Noise, Vibration and Active Control 39, no. 4 (2020): 1216–23. http://dx.doi.org/10.1177/1461348420972820.

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In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions. Comparison of the numerical results obtained from the derived analytical expression using Jacobi elliptic functions with respect to the exact ones is performed by considering weak and strong Duffing’s nonlinear oscillators.
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Johannessen, Kim. "A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions." International Journal of Differential Equations 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/412569.

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A nonlinear differential equation for the polar angle of a point of an ellipse is derived. The solution of this differential equation can be expressed in terms of the Jacobi elliptic function dn(u,k). If the polar angle is extended to the complex plane, the Jacobi imaginary transformation properties and the dependence on the real and complex quarter periods can be described. From the differential equation of the polar angle, exact solutions of the Poisson Boltzmann and the sinh-Poisson equations are found in terms of the Jacobi elliptic functions.
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Khare, Avinash, and Uday Sukhatme. "Cyclic identities involving Jacobi elliptic functions." Journal of Mathematical Physics 43, no. 7 (2002): 3798–806. http://dx.doi.org/10.1063/1.1484541.

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Khare, Avinash, Arul Lakshminarayan, and Uday Sukhatme. "Local identities involving Jacobi elliptic functions." Pramana 62, no. 6 (2004): 1201–29. http://dx.doi.org/10.1007/bf02704435.

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Myung, Hyo Chul. "Note on the Jacobi Elliptic Functions." Journal of Algebra 200, no. 1 (1998): 134–40. http://dx.doi.org/10.1006/jabr.1997.7253.

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Zheng, Bin, and Qinghua Feng. "A New Approach for Solving Fractional Partial Differential Equations in the Sense of the Modified Riemann-Liouville Derivative." Mathematical Problems in Engineering 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/307371.

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Based on a fractional complex transformation, certain fractional partial differential equation in the sense of the modified Riemann-Liouville derivative is converted into another ordinary differential equation of integer order, and the exact solutions of the latter are assumed to be expressed in a polynomial in Jacobi elliptic functions including the Jacobi sine function, the Jacobi cosine function, and the Jacobi elliptic function of the third kind. The degree of the polynomial can be determined by the homogeneous balance principle. With the aid of mathematical software, a series of exact sol
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Dissertations / Theses on the topic "Jacobi elliptic functions"

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Conrad, Eric van Fossen. "Some Continued Fraction Expansions of Laplace Transforms of Elliptic Functions." The Ohio State University, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=osu1029248229.

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Calin, Ovidiu, and Chang Der-Chen. "The geometry on a step 3 Grushin model." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2672/.

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In this article we study the geometry associated with the sub-elliptic operator ½ (X²1 +X²2), where X1 = ∂x and X2 = x²/2 ∂y are vector fields on R². We show that any point can be connected with the origin by at least one geodesic and we provide an approximate formula for the number of the geodesics between the origin and the points situated outside of the y-axis. We show there are in¯nitely many geodesics between the origin and the points on the y-axis.
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Labrande, Hugo. "Explicit computation of the Abel-Jacobi map and its inverse." Thesis, Université de Lorraine, 2016. http://www.theses.fr/2016LORR0142/document.

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L'application d'Abel-Jacobi fait le lien entre la forme de Weierstrass d'une courbe elliptique définie sur C et le tore complexe qui lui est associé. Il est possible de la calculer en un nombre d'opérations quasi-linéaire en la précision voulue, c'est à dire en temps O(M(P) log P). Son inverse est donné par la fonction p de Weierstrass, qui s'exprime en fonction de thêta, une fonction importante en théorie des nombres. L'algorithme naturel d'évaluation de thêta nécessite O(M(P) sqrt(P)) opérations, mais certaines valeurs (les thêta-constantes) peuvent être calculées en O(M(P) log P) opérations
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Labrande, Hugo. "Explicit computation of the Abel-Jacobi map and its inverse." Electronic Thesis or Diss., Université de Lorraine, 2016. http://www.theses.fr/2016LORR0142.

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L'application d'Abel-Jacobi fait le lien entre la forme de Weierstrass d'une courbe elliptique définie sur C et le tore complexe qui lui est associé. Il est possible de la calculer en un nombre d'opérations quasi-linéaire en la précision voulue, c'est à dire en temps O(M(P) log P). Son inverse est donné par la fonction p de Weierstrass, qui s'exprime en fonction de thêta, une fonction importante en théorie des nombres. L'algorithme naturel d'évaluation de thêta nécessite O(M(P) sqrt(P)) opérations, mais certaines valeurs (les thêta-constantes) peuvent être calculées en O(M(P) log P) opérations
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Fouotsa, Emmanuel. "Calcul des couplages et arithmétique des courbes elliptiques pour la cryptographie." Phd thesis, Université Rennes 1, 2013. http://tel.archives-ouvertes.fr/tel-00919779.

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Alors qu'initialement utilisés pour résoudre le Problème du Logarithme Discret (DLP) dans le groupe de points d'une courbe elliptique, les couplages sont très à la mode en cryptographie ces années car ils permettent de construire de nouveaux protocoles cryptographiques. Cependant, le calcul efficace du couplage dépend de l'arithmétique du modèle de courbe elliptique choisi et du corps sur lequel cette courbe est définie. Dans cette thèse, nous calculons le couplage sur deux modèles de Jacobi de courbes elliptiques puis nous introduisons et étudions l'arithmétique d'un nouveau modèle d'Ewards d
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Basquerotto, Cláudio Henrique Cerqueira Costa. "Aplicações das simetrias de Lie na dinâmica de sistemas mecânicos." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/154095.

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Submitted by Claudio Henrique Cerqueira Costa Basquerotto (cbasquerotto@ymail.com) on 2018-05-25T15:27:47Z No. of bitstreams: 1 Tese_Basquerotto.pdf: 7598699 bytes, checksum: 5f0c350de78925517e7db6045e9c3749 (MD5)<br>Approved for entry into archive by Cristina Alexandra de Godoy null (cristina@adm.feis.unesp.br) on 2018-05-25T17:35:47Z (GMT) No. of bitstreams: 1 basquerotto_chc_dr_ilha.pdf: 7598699 bytes, checksum: 5f0c350de78925517e7db6045e9c3749 (MD5)<br>Made available in DSpace on 2018-05-25T17:35:47Z (GMT). No. of bitstreams: 1 basquerotto_chc_dr_ilha.pdf: 7598699 bytes, checksum: 5f0c
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Qiu, Zhengluo. "FIR filter design using Jacobian elliptic Sn function with wavelet applications." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0021/MQ52642.pdf.

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Arène, Christophe. "Géométrie et arithmétique explicites des variétés abéliennes et applications à la cryptographie." Thesis, Aix-Marseille 2, 2011. http://www.theses.fr/2011AIX22069/document.

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Les principaux objets étudiés dans cette thèse sont les équations décrivant le morphisme de groupe sur une variété abélienne, plongée dans un espace projectif, et leurs applications en cryptographie. Notons g sa dimension et k son corps de définition. Ce mémoire est composé de deux parties. La première porte sur l'étude des courbes d'Edwards, un modèle pour les courbes elliptiques possédant un sous-groupe de points k-rationnels cyclique d'ordre 4, connues en cryptographie pour l'efficacité de leur loi d'addition et la possibilité qu'elle soit définie pour toute paire de points k-rationnels (lo
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Books on the topic "Jacobi elliptic functions"

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Milne, Stephen C. Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5462-9.

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Milne, Stephen C. Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions. Springer, 2011.

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Milne, Stephen C. Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions. Springer, 2013.

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Harold, Neville Eric. Jacobian Elliptic Functions. Franklin Classics Trade Press, 2018.

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Neville, Eric Harold 1889. Jacobian Elliptic Functions. Creative Media Partners, LLC, 2021.

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Gebelein, Hans, and Max Schuler. Fünfstellige Tabellen zu den Elliptischen Funktionen / Five Place Tables of Elliptical Functions: Dargestellt Mittels des Jacobischen Parameters q / Based on Jacobi's Parameter q. Springer, 2014.

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Book chapters on the topic "Jacobi elliptic functions"

1

Beals, Richard, and Roderick S. C. Wong. "Jacobi elliptic functions." In Explorations in Complex Functions. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54533-8_15.

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Schweizer, Wolfgang. "Jacobi Elliptic Functions." In Special Functions in Physics with MATLAB. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64232-7_10.

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Dittrich, Walter. "A Final Application in Elasticity with Jacobi Elliptic Functions." In SpringerBriefs in Physics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69105-9_5.

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Debnath, Argha, and Ayan Khan. "Jacobi Elliptic Functions and their Application in Ultra-cold Atomic Gases." In Springer Proceedings in Physics. Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-7691-8_60.

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Dittrich, Walter. "Short List of Jacobi Elliptic Functions and Constants Used in Chap. 5." In SpringerBriefs in Physics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69105-9_6.

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Milne, Stephen C. "Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions." In Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5462-9_1.

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Lawden, Derek F. "Jacobi’s Elliptic Functions." In Elliptic Functions and Applications. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4757-3980-0_2.

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Williams, Floyd L. "The Elliptic Functions $$ s n(x, \kappa )$$, $$c n(x, \kappa ) $$, and $$ d n(x, \kappa )$$ of C. Jacobi." In Some Musings on Theta, Eta, and Zeta. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-5336-3_14.

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Oldham, Keith B., Jan C. Myland, and Jerome Spanier. "The Jacobian Elliptic Functions." In An Atlas of Functions. Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-48807-3_64.

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Takebe, Takashi. "Complex Jacobian Elliptic Functions." In Moscow Lectures. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-30265-7_18.

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Conference papers on the topic "Jacobi elliptic functions"

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Miura, Kenjiro, R. Gobithaasan, Shahnawaz Shida, Dan Wang, and Yushalify MIsro. "Curve Modeling with Jacobi Elliptic Functions." In CAD'25. U-turn Press LLC, 2025. https://doi.org/10.14733/cadconfp.2025.267-271.

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Apostolov, S. S., D. V. Kadvarob, Z. A. Maizclis, A. A. Nikolaenko, and V. A. Yampol'skii. "Nonlinear localized waves in layered superconductors: Jacobi elliptic functions approach." In 2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET). IEEE, 2018. http://dx.doi.org/10.1109/mmet.2018.8460427.

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Belgacem, Fethi Bin Muhammad, and Rathinavel Silambarasan. "Sumudu transform of Dumont bimodular Jacobi elliptic functions for arbitrary powers." In ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2017. http://dx.doi.org/10.1063/1.4972618.

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Yuan-yuan, Lu. "Jacobi elliptic function-like solutions for generalized stochastic KdV equation." In 2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization (ICSEM). IEEE, 2012. http://dx.doi.org/10.1109/icssem.2012.6340796.

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Xiang, Chunhuan, Bo Liang, Longcong Chen, and Honglei Wang. "Jacobi elliptic function solutions to variable nonlinear Klein-Gordon equation." In 2015 International Industrial Informatics and Computer Engineering Conference. Atlantis Press, 2015. http://dx.doi.org/10.2991/iiicec-15.2015.117.

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Lu, DaZhao, YanYing Cui, and ChangHe Liu. "A General Jacobi Elliptic Function Rational Expansion Method and Its Applications in Nonlinear Wave Equations." In 2012 Fourth International Conference on Computational and Information Sciences (ICCIS). IEEE, 2012. http://dx.doi.org/10.1109/iccis.2012.16.

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Elías-Zúñiga, Alex. "Applying Jacobian Elliptic Functions to Solve Linear and Nonlinear Differential Equations With Mathematica." In Proceedings of the Fifth International Mathematica Symposium. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2003. http://dx.doi.org/10.1142/9781848161313_0007.

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Yafeng Xiao and Haili Xue. "The extended Jacobian elliptic function expansion method and its application in Zakharov equation." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5622367.

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Zhao, Xiqiang, and Weijun Sun. "The Jacobin elliptic function expansion method for solitonic solutions to nonlinear partial differential equations with symbolic computation." In 2011 Seventh International Conference on Natural Computation (ICNC). IEEE, 2011. http://dx.doi.org/10.1109/icnc.2011.6022521.

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Chiang, Kenny H., Richard P. Kenan, and Christopher J. Summers. "Analysis of asymmetric, nonlinear, planar AlGaAs/GaAs multiple quantum-well directional couplers." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thy3.

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We present an analysis of a Kerr-type, nonlinear, all-optically controlled asymmetric planar directional coupler. One guiding layer of the asymmetric directional coupler is a linear AlGaAs medium, and the other guiding layer contains an AlGaAs/GaAs multiplequantum-well, Kerr-like nonlinear medium. The coupling of this device is studied analytically assuming no losses. Jacobian elliptic functions are introduced to solve the nonlinear wave equations in the nonlinear medium. The coupling length is determined by the superposition of the perturbed symmetric-like and perturbed antisymmetric-like sol
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