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Found 1,140 Documents (Results 1–100)

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Wen, Xiao-Yong; Yan, Zhenya; Zhang, Guoqiang

Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours. (English) Zbl 1472.78029

Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200512, 22 p. (2020).
MSC:  78A60 34A33 37K40 37K60 78M20
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\textit{X.-Y. Wen} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200512, 22 p. (2020; Zbl 1472.78029)
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Bastien, Guy; Rogalski, Marc

QRT-families of degree four biquadratic curves each of them has genus zero, associated dynamical systems. (English) Zbl 1473.39033

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 369-377 (2020).
MSC:  39A36 37J70 14E05 14H70
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\textit{G. Bastien} and \textit{M. Rogalski}, Springer Proc. Math. Stat. 341, 369--377 (2020; Zbl 1473.39033)
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Kostrov, Yevgeniy; Kudlak, Zachary

On a second-order rational difference equation with quadratic terms. II. (English) Zbl 1472.39028

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 279-296 (2020).
MSC:  39A30 39A20
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\textit{Y. Kostrov} and \textit{Z. Kudlak}, Springer Proc. Math. Stat. 341, 279--296 (2020; Zbl 1472.39028)
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Heim, Bernhard; Neuhauser, Markus

Difference equations related to number theory. (English) Zbl 1472.39032

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 245-255 (2020).
Reviewer: Enzo Bonacci (Latina)
MSC:  39A60 39-06 11B37 11B83 30C10 11F20 11Z05 33C45
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\textit{B. Heim} and \textit{M. Neuhauser}, Springer Proc. Math. Stat. 341, 245--255 (2020; Zbl 1472.39032)
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Hone, A. N. W.; Quispel, G. R. W.

Analogues of Kahan’s method for higher order equations of higher degree. (English) Zbl 1464.37068

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 175-189 (2020).
MSC:  37J70 37J35 39A36 37M15 37K60 14E05 65P10
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\textit{A. N. W. Hone} and \textit{G. R. W. Quispel}, Springer Proc. Math. Stat. 338, 175--189 (2020; Zbl 1464.37068)
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Carstea, Adrian Stefan; Takenawa, Tomoyuki

An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation. (English) Zbl 1462.37081

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 43-53 (2020).
Reviewer: Eszter Gselmann (Debrecen)
MSC:  37K60 37K20 37J70 39A14 39A36 14E05
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\textit{A. S. Carstea} and \textit{T. Takenawa}, Springer Proc. Math. Stat. 338, 43--53 (2020; Zbl 1462.37081)
Full Text: DOI arXiv
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Gubbiotti, Giorgio; Joshi, Nalini; Tran, Dinh Thi; Viallet, Claude-Michel

Complexity and integrability in 4D bi-rational maps with two invariants. (English) Zbl 1464.37067

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 17-36 (2020).
Reviewer: Eszter Gselmann (Debrecen)
MSC:  37J70 39A36 14E05
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\textit{G. Gubbiotti} et al., Springer Proc. Math. Stat. 338, 17--36 (2020; Zbl 1464.37067)
Full Text: DOI arXiv
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Kostrov, Yevgeniy; Kudlak, Zachary; Vernon, Patrick

On the boundedness character of a rational system of difference equations with non-constant coefficients. (English) Zbl 1442.39011

Bohner, Martin (ed.) et al., Difference equations and discrete dynamical systems with applications. ICDEA 24, Dresden, Germany, May 21–25, 2018. Proceedings of the 24th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 312, 267-295 (2020).
MSC:  39A22 39A23
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\textit{Y. Kostrov} et al., Springer Proc. Math. Stat. 312, 267--295 (2020; Zbl 1442.39011)
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Celledoni, E.; Evripidou, C.; McLaren, D. I.; Owren, B.; Quispel, G. R. W.; Tapley, B. K.; van der Kamp, P. H.

Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. (English) Zbl 07630957

J. Phys. A, Math. Theor. 52, No. 31, Article ID 31LT01, 11 p. (2019).
MSC:  37J70 37J35 37M15 37M21 39A36 14E05
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\textit{E. Celledoni} et al., J. Phys. A, Math. Theor. 52, No. 31, Article ID 31LT01, 11 p. (2019; Zbl 07630957)
Full Text: DOI arXiv
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Barkatou, Moulay; Cluzeau, Thomas; El Hajj, Ali

Simple forms and rational solutions of pseudo-linear systems. (English) Zbl 1467.34012

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 26-33 (2019).
MSC:  34A30 39A10 68W30
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\textit{M. Barkatou} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 26--33 (2019; Zbl 1467.34012)
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Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph

Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). (English) Zbl 1429.65064

Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 165-185 (2019).
MSC:  65F10 65F15 65D32 35R11 65N30 65N06 65K10 41A20 15A18 35J05
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\textit{S. Harizanov} et al., Lect. Notes Comput. Sci. Eng. 128, 165--185 (2019; Zbl 1429.65064)
Full Text: DOI arXiv
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