Laurent, Adrien The Lie derivative and Noether’s theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators. (English) Zbl 07807504 J. Comput. Dyn. 11, No. 1, 10-22 (2024). MSC: 14-XX 05C05 41A58 37M15 58A12 58J10 58E30 PDFBibTeX XMLCite \textit{A. Laurent}, J. Comput. Dyn. 11, No. 1, 10--22 (2024; Zbl 07807504) Full Text: DOI arXiv
Saksida, Pavle On the beta distribution, the nonlinear Fourier transform and a combinatorial problem. (English) Zbl 1527.37075 Ars Math. Contemp. 24, No. 1, Paper No. 8, 20 p. (2024). MSC: 37K20 65T50 41A58 42A16 PDFBibTeX XMLCite \textit{P. Saksida}, Ars Math. Contemp. 24, No. 1, Paper No. 8, 20 p. (2024; Zbl 1527.37075) Full Text: DOI
Treschev, D. V. On isochronicity. (English. Russian original) Zbl 07781674 Proc. Steklov Inst. Math. 322, 198-223 (2023); translation from Tr. Mat. Inst. Steklova 322, 206-232 (2023). MSC: 70H12 37J46 PDFBibTeX XMLCite \textit{D. V. Treschev}, Proc. Steklov Inst. Math. 322, 198--223 (2023; Zbl 07781674); translation from Tr. Mat. Inst. Steklova 322, 206--232 (2023) Full Text: DOI
Karasev, A. Yu.; Teretenkov, A. E. Time-convolutionless master equations for composite open quantum systems. (English) Zbl 07749564 Lobachevskii J. Math. 44, No. 6, 2051-2064 (2023). MSC: 81S22 81V45 35B20 41A58 65B05 37E20 35E15 PDFBibTeX XMLCite \textit{A. Yu. Karasev} and \textit{A. E. Teretenkov}, Lobachevskii J. Math. 44, No. 6, 2051--2064 (2023; Zbl 07749564) Full Text: DOI arXiv
Laurent, Adrien; McLachlan, Robert I.; Munthe-Kaas, Hans Z.; Verdier, Olivier The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. (English) Zbl 1527.37090 Forum Math. Sigma 11, Paper No. e69, 39 p. (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 37M15 41A58 05C05 65L06 58A12 PDFBibTeX XMLCite \textit{A. Laurent} et al., Forum Math. Sigma 11, Paper No. e69, 39 p. (2023; Zbl 1527.37090) Full Text: DOI arXiv
Li, Run-Tian; Cheng, Song; Chen, Yang-Yang; Guan, Xi-Wen Exact results of dynamical structure factor of Lieb-Liniger model. (English) Zbl 07722237 J. Phys. A, Math. Theor. 56, No. 33, Article ID 335204, 19 p. (2023). MSC: 81V70 37C70 41A58 14B05 62H20 46C05 70M20 PDFBibTeX XMLCite \textit{R.-T. Li} et al., J. Phys. A, Math. Theor. 56, No. 33, Article ID 335204, 19 p. (2023; Zbl 07722237) Full Text: DOI arXiv
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 07712414 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 PDFBibTeX XMLCite \textit{M. Breden}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 765--801 (2023; Zbl 07712414) Full Text: DOI arXiv
Zhang, Tian-Tian; Zhang, Ling-Di Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation. (English) Zbl 07708848 Appl. Math. Lett. 143, Article ID 108691, 8 p. (2023). MSC: 35Q53 35Q55 35C08 37K35 41A58 PDFBibTeX XMLCite \textit{T.-T. Zhang} and \textit{L.-D. Zhang}, Appl. Math. Lett. 143, Article ID 108691, 8 p. (2023; Zbl 07708848) Full Text: DOI
De Nardis, Jacopo; Doyon, Benjamin Hydrodynamic gauge fixing and higher order hydrodynamic expansion. (English) Zbl 1516.81201 J. Phys. A, Math. Theor. 56, No. 24, Article ID 245001, 37 p. (2023). MSC: 81V70 41A58 82D15 37K06 81Q80 70S15 81P17 82B35 PDFBibTeX XMLCite \textit{J. De Nardis} and \textit{B. Doyon}, J. Phys. A, Math. Theor. 56, No. 24, Article ID 245001, 37 p. (2023; Zbl 1516.81201) Full Text: DOI arXiv
van Nuland, Teun D. H.; van Suijlekom, Walter D. Cyclic cocycles and one-loop corrections in the spectral action. (English) Zbl 1521.81123 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 513-533 (2023). MSC: 81S10 37A20 58J28 53C21 16E40 41A58 47A10 PDFBibTeX XMLCite \textit{T. D. H. van Nuland} and \textit{W. D. van Suijlekom}, Proc. Symp. Pure Math. 105, 513--533 (2023; Zbl 1521.81123) Full Text: DOI arXiv
Shi, Wei; Zhaqilao Higher-order mixed solution and breather solution on a periodic background for the Kundu equation. (English) Zbl 1508.35112 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023). MSC: 35Q51 35Q55 35C08 37K35 41A58 PDFBibTeX XMLCite \textit{W. Shi} and \textit{Zhaqilao}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023; Zbl 1508.35112) Full Text: DOI
Yönet, Nilay; Gürbüz, Burcu; Gökçe, Aytül An alternative numerical approach for an improved ecological model of interconnected lakes with a fixed pollutant. (English) Zbl 1511.37112 Comput. Appl. Math. 42, No. 1, Paper No. 56, 19 p. (2023). MSC: 37N25 92D40 65L05 65L70 PDFBibTeX XMLCite \textit{N. Yönet} et al., Comput. Appl. Math. 42, No. 1, Paper No. 56, 19 p. (2023; Zbl 1511.37112) Full Text: DOI
Beauchard, Karine; Le Borgne, Jérémy; Marbach, Frédéric On expansions for nonlinear systems error estimates and convergence issues. (English) Zbl 1516.34026 C. R., Math., Acad. Sci. Paris 361, 97-189 (2023). MSC: 34A25 41A58 37C60 34C20 PDFBibTeX XMLCite \textit{K. Beauchard} et al., C. R., Math., Acad. Sci. Paris 361, 97--189 (2023; Zbl 1516.34026) Full Text: DOI arXiv
Laurent, Adrien; Munthe-Kaas, Hans Z. The universal equivariance properties of exotic aromatic B-series. arXiv:2305.10993 Preprint, arXiv:2305.10993 [math.NA] (2023). MSC: 15A72 37C81 41A58 60H35 65C30 BibTeX Cite \textit{A. Laurent} and \textit{H. Z. Munthe-Kaas}, ``The universal equivariance properties of exotic aromatic B-series'', Preprint, arXiv:2305.10993 [math.NA] (2023) Full Text: arXiv OA License
Pu, Jun-cai; Chen, Yong Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach. (English) Zbl 1501.35351 Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 861-881 (2022). MSC: 35Q53 35Q51 35C15 35C08 35B40 37K10 37K35 41A58 PDFBibTeX XMLCite \textit{J.-c. Pu} and \textit{Y. Chen}, Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 861--881 (2022; Zbl 1501.35351) Full Text: DOI
’t Hooft, Gerard Quantum mechanics, statistics, standard model and gravity. (English) Zbl 1500.81002 Gen. Relativ. Gravitation 54, No. 6, Paper No. 56, 11 p. (2022). MSC: 81P05 83F05 37B15 81V22 81Q15 41A58 PDFBibTeX XMLCite \textit{G. 't Hooft}, Gen. Relativ. Gravitation 54, No. 6, Paper No. 56, 11 p. (2022; Zbl 1500.81002) Full Text: DOI
Li, Xinyue; Han, Guangfu; Zhao, Qiulan Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 1491.35394 Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022). MSC: 35Q51 35Q55 37K10 37K35 35B35 35C08 41A58 78A60 PDFBibTeX XMLCite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022; Zbl 1491.35394) Full Text: DOI
Bronasco, Eugen Exotic B-series and S-series: algebraic structures and order conditions for invariant measure sampling. arXiv:2209.11046 Preprint, arXiv:2209.11046 [math.NA] (2022). MSC: 60H35 37M25 65L06 41A58 05C05 BibTeX Cite \textit{E. Bronasco}, ``Exotic B-series and S-series: algebraic structures and order conditions for invariant measure sampling'', Preprint, arXiv:2209.11046 [math.NA] (2022) Full Text: arXiv OA License
Younis, M.; Seadawy, Aly R.; Bilal, M.; Rehman, S. U.; Latif, S.; Rizvi, S. T. R. Kinetics of phase separation in \(\mathrm{Fe}\)-\(\mathrm{Cr}\)-X (X \(=\) Mo, Cu) ternary alloys – a dynamical wave study. (English) Zbl 1490.82023 Int. J. Mod. Phys. B 35, No. 21, Article ID 2150220, 14 p. (2021). MSC: 82D35 76E15 80A19 41A58 35C07 37K10 PDFBibTeX XMLCite \textit{M. Younis} et al., Int. J. Mod. Phys. B 35, No. 21, Article ID 2150220, 14 p. (2021; Zbl 1490.82023) Full Text: DOI
Jezierski, Jacek; Kijowski, Jerzy; Waluk, Piotr Gauge-invariant quadratic approximation of quasi-local mass and its relation with Hamiltonian for gravitational field. (English) Zbl 1481.83039 Classical Quantum Gravity 38, No. 9, Article ID 095006, 15 p. (2021). MSC: 83C40 70S05 70S15 83C25 37F50 58J32 41A58 PDFBibTeX XMLCite \textit{J. Jezierski} et al., Classical Quantum Gravity 38, No. 9, Article ID 095006, 15 p. (2021; Zbl 1481.83039) Full Text: DOI arXiv
Breden, Maxime; Kuehn, Christian Computing invariant sets of random differential equations using polynomial chaos. (English) Zbl 1441.37057 SIAM J. Appl. Dyn. Syst. 19, No. 1, 577-618 (2020). Reviewer: Carlo Laing (Auckland) MSC: 37H10 37H05 37M21 37M22 34F05 60H35 41A58 65C30 PDFBibTeX XMLCite \textit{M. Breden} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 577--618 (2020; Zbl 1441.37057) Full Text: DOI arXiv
Bogfjellmo, Geir Algebraic structure of aromatic B-series. (English) Zbl 1434.37045 J. Comput. Dyn. 6, No. 2, 199-222 (2019). MSC: 37M15 65P10 41A58 16T05 PDFBibTeX XMLCite \textit{G. Bogfjellmo}, J. Comput. Dyn. 6, No. 2, 199--222 (2019; Zbl 1434.37045) Full Text: DOI arXiv
de Paula, N. C. G.; Marques, F. D. Multi-variable Volterra kernels identification using time-delay neural networks: application to unsteady aerodynamic loading. (English) Zbl 1430.41021 Nonlinear Dyn. 97, No. 1, 767-780 (2019). MSC: 41A58 37M10 PDFBibTeX XMLCite \textit{N. C. G. de Paula} and \textit{F. D. Marques}, Nonlinear Dyn. 97, No. 1, 767--780 (2019; Zbl 1430.41021) Full Text: DOI
Guillot, Louis; Cochelin, Bruno; Vergez, Christophe A Taylor series-based continuation method for solutions of dynamical systems. (English) Zbl 1430.37099 Nonlinear Dyn. 98, No. 4, 2827-2845 (2019). MSC: 37M20 34E05 PDFBibTeX XMLCite \textit{L. Guillot} et al., Nonlinear Dyn. 98, No. 4, 2827--2845 (2019; Zbl 1430.37099) Full Text: DOI HAL
Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja Taylor series and twisting-index invariants of coupled spin-oscillators. (English) Zbl 1432.37083 J. Geom. Phys. 140, 131-151 (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J35 37J11 PDFBibTeX XMLCite \textit{J. Alonso} et al., J. Geom. Phys. 140, 131--151 (2019; Zbl 1432.37083) Full Text: DOI arXiv
Hueso, José L.; Martínez, Eulalia; Gupta, D. K.; Cevallos, Fabricio A note on “Convergence radius of Osada’s method under Hölder continuous condition”. (English) Zbl 1426.65066 Appl. Math. Comput. 321, 689-699 (2018). MSC: 65H05 65J15 41A58 37F10 37F50 PDFBibTeX XMLCite \textit{J. L. Hueso} et al., Appl. Math. Comput. 321, 689--699 (2018; Zbl 1426.65066) Full Text: DOI Link
Wang, Gehao From Kontsevich-Witten to linear Hodge integrals via Virasoro operators. (English) Zbl 1408.37125 J. Math. Phys. 59, No. 12, 123502, 12 p. (2018). MSC: 37K30 37K20 81R10 37K10 35Q55 14C30 17B68 41A58 PDFBibTeX XMLCite \textit{G. Wang}, J. Math. Phys. 59, No. 12, 123502, 12 p. (2018; Zbl 1408.37125) Full Text: DOI arXiv
Brenig, Léon Reducing nonlinear dynamical systems to canonical forms. (English) Zbl 1404.37054 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170384, 17 p. (2018). MSC: 37G05 37J15 PDFBibTeX XMLCite \textit{L. Brenig}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170384, 17 p. (2018; Zbl 1404.37054) Full Text: DOI
Roberts, A. J.; Bunder, J. E. Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains. (English) Zbl 1486.82036 IMA J. Appl. Math. 82, No. 5, 971-1012 (2017). MSC: 82C41 82C31 35Q84 35A24 41A58 68W30 37D10 60G50 PDFBibTeX XMLCite \textit{A. J. Roberts} and \textit{J. E. Bunder}, IMA J. Appl. Math. 82, No. 5, 971--1012 (2017; Zbl 1486.82036) Full Text: DOI arXiv
Alemansour, Hamed; Miandoab, Ehsan Maani; Pishkenari, Hossein Nejat Effect of size on the chaotic behavior of nano resonators. (English) Zbl 1455.74045 Commun. Nonlinear Sci. Numer. Simul. 44, 495-505 (2017). MSC: 74H65 74F15 74H10 70K55 78A55 82D80 37D45 PDFBibTeX XMLCite \textit{H. Alemansour} et al., Commun. Nonlinear Sci. Numer. Simul. 44, 495--505 (2017; Zbl 1455.74045) Full Text: DOI
Alquran, Marwan; Al-Khaled, Kamel; Ali, Mohammed; Arqub, Omar Abu Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1431.35148 Waves Wavelets Fractals, Adv. Anal. 3, 31-39 (2017). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{M. Alquran} et al., Waves Wavelets Fractals, Adv. Anal. 3, 31--39 (2017; Zbl 1431.35148) Full Text: DOI
Bernardi, Olga; Dalla Riva, Matteo Analytic dependence on parameters for Evans’ approximated weak KAM solutions. (English) Zbl 1375.37154 Discrete Contin. Dyn. Syst. 37, No. 9, 4625-4636 (2017). Reviewer: Wolfgang G. Hollik (Hamburg) MSC: 37J40 70H08 70H09 47H14 70H20 41A58 PDFBibTeX XMLCite \textit{O. Bernardi} and \textit{M. Dalla Riva}, Discrete Contin. Dyn. Syst. 37, No. 9, 4625--4636 (2017; Zbl 1375.37154) Full Text: DOI
Zlatanovska, Biljana Approximation for the solutions of Lorenz system with systems of differential equations. (English) Zbl 1364.37180 Mat. Bilt. 41, No. 1, 51-61 (2017). MSC: 37N30 41A58 65L06 65Y15 34A25 37C50 37M99 PDFBibTeX XMLCite \textit{B. Zlatanovska}, Mat. Bilt. 41, No. 1, 51--61 (2016; Zbl 1364.37180) Full Text: Link
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier B-series methods are exactly the affine equivariant methods. (English) Zbl 1364.65145 Numer. Math. 133, No. 3, 599-622 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L12 37C80 37C10 41A58 34A34 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., Numer. Math. 133, No. 3, 599--622 (2016; Zbl 1364.65145) Full Text: DOI arXiv
Lin, Yi; Yan, Hongsen; Zhou, Bo An adaptive multi-step prediction of chaotic time series based on multi-dimensional Taylor network. (Chinese. English summary) Zbl 1340.37089 J. Southeast Univ., Nat. Sci. 45, No. 2, 281-288 (2015). MSC: 37M10 37D45 PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Southeast Univ., Nat. Sci. 45, No. 2, 281--288 (2015; Zbl 1340.37089) Full Text: DOI
Avedisov, Sergei S.; Orosz, Gábor Nonlinear network modes in cyclic systems with applications to connected vehicles. (English) Zbl 1320.93012 J. Nonlinear Sci. 25, No. 4, 1015-1049 (2015). MSC: 93A30 93A15 93C15 93C10 93C95 34A34 34C23 37G05 41A58 PDFBibTeX XMLCite \textit{S. S. Avedisov} and \textit{G. Orosz}, J. Nonlinear Sci. 25, No. 4, 1015--1049 (2015; Zbl 1320.93012) Full Text: DOI
Kapoor, G. P.; Sahoo, M. Lidstone Fractal Interpolation and Error Analysis. arXiv:1407.2367 Preprint, arXiv:1407.2367 [math.DS] (2014). MSC: 37A25 41A58 28A80 BibTeX Cite \textit{G. P. Kapoor} and \textit{M. Sahoo}, ``Lidstone Fractal Interpolation and Error Analysis'', Preprint, arXiv:1407.2367 [math.DS] (2014) Full Text: arXiv OA License
Dettmann, Carl Open circle maps: small hole asymptotics. (English) Zbl 1276.37014 Nonlinearity 26, No. 1, 307-317 (2013). Reviewer: Krzysztof Ciepliński (Kraków) MSC: 37D05 37E10 41A58 PDFBibTeX XMLCite \textit{C. Dettmann}, Nonlinearity 26, No. 1, 307--317 (2013; Zbl 1276.37014) Full Text: DOI arXiv
Li, Huimin; Fan, Yangyu; Zhang, Jing A new algorithm for computing one-dimensional stable and unstable manifolds of maps. (English) Zbl 1270.37032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 1, Article ID 1250018, 10 p. (2012). MSC: 37E30 37D10 37M99 PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 1, Article ID 1250018, 10 p. (2012; Zbl 1270.37032) Full Text: DOI
Dena, Ángeles; Abad, Alberto; Barrio, Roberto High-precision periodic orbit corrector. (English) Zbl 1253.37076 Giacomoni, Jaques (ed.) et al., Eleventh international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2010. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15538-15-8/pbk). Monografías Matemáticas “García de Galdeano” 37, 115-121 (2012). MSC: 37M20 65P20 37C10 37C25 37-04 PDFBibTeX XMLCite \textit{Á. Dena} et al., Monogr. Mat. García Galdeano 37, 115--121 (2012; Zbl 1253.37076)
Wang, Qi Application of rational expansion method for differential-difference equation. (English) Zbl 1247.37067 Commun. Theor. Phys. 56, No. 6, 981-986 (2011). MSC: 37K10 37K40 37H10 35C08 41A58 PDFBibTeX XMLCite \textit{Q. Wang}, Commun. Theor. Phys. 56, No. 6, 981--986 (2011; Zbl 1247.37067) Full Text: DOI
Shiraishi, Fumihide; Egashira, Masaaki; Iwata, Michio Highly accurate computation of dynamic sensitivities in metabolic reaction systems by a Taylor series method. (English) Zbl 1227.92033 Math. Biosci. 233, No. 1, 59-67 (2011). MSC: 92C45 65C60 34A99 92-04 37N25 PDFBibTeX XMLCite \textit{F. Shiraishi} et al., Math. Biosci. 233, No. 1, 59--67 (2011; Zbl 1227.92033) Full Text: DOI
Li, Hating; Yang, Haitian; Li, Nan An adaptive algorithm in time domain for dynamic analysis of a simply supported beam subjected to a moving vehicle. (English) Zbl 1225.37113 Math. Methods Appl. Sci. 34, No. 8, 996-1005 (2011). Reviewer: Xingfu Zou (London, Ontario) MSC: 37N30 41A58 70K40 65L60 93C40 PDFBibTeX XMLCite \textit{H. Li} et al., Math. Methods Appl. Sci. 34, No. 8, 996--1005 (2011; Zbl 1225.37113) Full Text: DOI
Barrio, R.; Blesa, F.; Serrano, S. Bifurcations and chaos in Hamiltonian systems. (English) Zbl 1193.65214 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 5, 1293-1319 (2010). MSC: 65P30 37J20 37D45 PDFBibTeX XMLCite \textit{R. Barrio} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 5, 1293--1319 (2010; Zbl 1193.65214) Full Text: DOI
Brown, Ryan M. Insufficiency of chemical network model integration using a high-order Taylor series method. (English) Zbl 1190.92051 J. Appl. Math. Comput. 33, No. 1-2, 83-102 (2010). MSC: 92E20 65P99 90C90 37N25 65C20 92C40 65L05 PDFBibTeX XMLCite \textit{R. M. Brown}, J. Appl. Math. Comput. 33, No. 1--2, 83--102 (2010; Zbl 1190.92051) Full Text: DOI
Jumarie, Guy An approach via fractional analysis to non-linearity induced by coarse-graining in space. (English) Zbl 1195.37054 Nonlinear Anal., Real World Appl. 11, No. 1, 535-546 (2010). Reviewer: Fuhua Ling (Milpitas) MSC: 37L99 60J65 60H40 PDFBibTeX XMLCite \textit{G. Jumarie}, Nonlinear Anal., Real World Appl. 11, No. 1, 535--546 (2010; Zbl 1195.37054) Full Text: DOI
Yuan, Xiaoping KAM theory with applications to Hamiltonian partial differential equations. (English) Zbl 1140.37023 Craig, Walter (ed.), Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer (ISBN 978-1-4020-6963-5/pbk; 978-1-4020-6962-8/hbk). NATO Science for Peace and Security Series B: Physics and Biophysics, 157-177 (2008). Reviewer: Hu Chuangan (Tianjin) MSC: 37K55 35Q55 35L05 PDFBibTeX XMLCite \textit{X. Yuan}, in: Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer. 157--177 (2008; Zbl 1140.37023)
Phipps, Eric; Casey, Richard; Guckenheimer, John Periodic orbits of hybrid systems and parameter estimation via AD. (English) Zbl 1270.37053 Bücker, Martin (ed.) et al., Automatic differentiation: Applications, theory, and implementations. Selected papers based on the presentation at the 4th international conference on automatic differentiation (AD), Chicago, IL, USA, July 20–23, 2004. Berlin: Springer (ISBN 3-540-28403-6/pbk). Lecture Notes in Computational Science and Engineering 50, 211-223 (2006). MSC: 37M99 37N25 65L09 92B05 PDFBibTeX XMLCite \textit{E. Phipps} et al., Lect. Notes Comput. Sci. Eng. 50, 211--223 (2006; Zbl 1270.37053)
Ramos, J. I. Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods. (English) Zbl 1106.37011 Chaos Solitons Fractals 28, No. 5, 1306-1313 (2006). MSC: 37C27 65L05 34A45 34C15 34C25 65P40 PDFBibTeX XMLCite \textit{J. I. Ramos}, Chaos Solitons Fractals 28, No. 5, 1306--1313 (2006; Zbl 1106.37011) Full Text: DOI
Smirnov, D. A.; Bodrov, D. M.; Bezruchko, B. P. Estimation of coupling between oscillators from time series via phase dynamics modeling: Limits of method’s applicability. (Russian) Zbl 1083.37060 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 12, No. 6, 79-92 (2004). Reviewer: Sergei Zhuravlev (Moskva) MSC: 37M10 41A58 37N99 PDFBibTeX XMLCite \textit{D. A. Smirnov} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 12, No. 6, 79--92 (2004; Zbl 1083.37060)
Golubchik, I. Z.; Sokolov, V. V. Compatible Lie brackets and integrable equations of the principal chiral model type. (English. Russian original) Zbl 1022.17024 Funct. Anal. Appl. 36, No. 3, 172-181 (2002); translation from Funkts. Anal. Prilozh. 36, No. 3, 9-19 (2002). MSC: 17B81 37J35 PDFBibTeX XMLCite \textit{I. Z. Golubchik} and \textit{V. V. Sokolov}, Funct. Anal. Appl. 36, No. 3, 172--181 (2002; Zbl 1022.17024); translation from Funkts. Anal. Prilozh. 36, No. 3, 9--19 (2002) Full Text: DOI
Richter, Hendrik; Stein, Günter On Taylor series expansion for chaotic nonlinear systems. (English) Zbl 0999.65145 Chaos Solitons Fractals 13, No. 9, 1783-1789 (2002). MSC: 65P20 37D25 37D45 37M25 PDFBibTeX XMLCite \textit{H. Richter} and \textit{G. Stein}, Chaos Solitons Fractals 13, No. 9, 1783--1789 (2002; Zbl 0999.65145) Full Text: DOI
Natanzon, S. M. Formal series for the \(\tau\)-function realizing Riemann’s theorem about domains in the complex plane. (English. Russian original) Zbl 1114.37306 Russ. Math. Surv. 56, No. 4, 760-761 (2001); translation from Usp. Mat. Nauk 56, No. 4, 155-156 (2001). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{S. M. Natanzon}, Russ. Math. Surv. 56, No. 4, 760--761 (2001; Zbl 1114.37306); translation from Usp. Mat. Nauk 56, No. 4, 155--156 (2001) Full Text: DOI
Zhou, Gang; Wang, Yuexian; Jia, Guoqing; Chen, Jun A homogenized high precise direct integration based on Taylor series. (Chinese. English summary) Zbl 1002.65074 J. Shanghai Jiaotong Univ. (Chin. Ed.) 35, No. 12, 1916-1919 (2001). MSC: 65L05 34A30 65P10 37M15 PDFBibTeX XMLCite \textit{G. Zhou} et al., J. Shanghai Jiaotong Univ. (Chin. Ed.) 35, No. 12, 1916--1919 (2001; Zbl 1002.65074)
Galka, A.; Ozaki, T. Testing for nonlinearity in high-dimensional time series from continuous dynamics. (English) Zbl 0980.37035 Physica D 158, No. 1-4, 32-44 (2001). MSC: 37M10 PDFBibTeX XMLCite \textit{A. Galka} and \textit{T. Ozaki}, Physica D 158, No. 1--4, 32--44 (2001; Zbl 0980.37035) Full Text: DOI
Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella Semi-explicit methods for isospectral flows. (English) Zbl 0976.65110 Adv. Comput. Math. 14, No. 1, 1-24 (2001). Reviewer: Kevin Burrage (Brisbane) MSC: 65P10 65L06 37M15 37C10 37C80 PDFBibTeX XMLCite \textit{M. P. Calvo} et al., Adv. Comput. Math. 14, No. 1, 1--24 (2001; Zbl 0976.65110) Full Text: DOI
Baccelli, François; Hong, Dohy Analytic expansions of max-plus Lyapunov exponents. (English) Zbl 1073.37526 Ann. Appl. Probab. 10, No. 3, 779-827 (2000). MSC: 37H15 15B52 60C05 60K05 65C50 PDFBibTeX XMLCite \textit{F. Baccelli} and \textit{D. Hong}, Ann. Appl. Probab. 10, No. 3, 779--827 (2000; Zbl 1073.37526) Full Text: DOI
Bridges, T. J.; Christodoulides, P.; Dias, F. Spatial bifurcations of interfacial waves when the phase and group velocities are nearly equal. (English) Zbl 0879.76029 J. Fluid Mech. 295, 121-158 (1995). Reviewer: D.Ševčovič (Bratislava) MSC: 76E05 76B55 37J99 37G99 PDFBibTeX XMLCite \textit{T. J. Bridges} et al., J. Fluid Mech. 295, 121--158 (1995; Zbl 0879.76029) Full Text: DOI
Luo, Albert C. J.; Han, Ray P. S.; Xiang, Yumin Chaotic analysis of subharmonic resonant waves in undamped and damped strings. (English) Zbl 0847.73033 J. Hydrodyn., Ser. B 7, No. 1, 92-104 (1995). Reviewer: F.Ling (Jersey City) MSC: 74H45 74K05 37D45 PDFBibTeX XMLCite \textit{A. C. J. Luo} et al., J. Hydrodyn., Ser. B 7, No. 1, 92--104 (1995; Zbl 0847.73033)
Ford, Ralph M.; Strickland, Robin N. Representing and visualizing fluid flow images and velocimetry data by nonlinear dynamical systems. (English) Zbl 0842.76071 Graph. Models Image Process. 57, No. 6, 462-482 (1995). MSC: 76M99 37N99 PDFBibTeX XMLCite \textit{R. M. Ford} and \textit{R. N. Strickland}, Graph. Models Image Process. 57, No. 6, 462--482 (1995; Zbl 0842.76071) Full Text: DOI
Hairer, Ernst Backward analysis of numerical integrators and symplectic methods. (English) Zbl 0828.65097 Ann. Numer. Math. 1, No. 1-4, 107-132 (1994). Reviewer: A.Marciniak (Poznań) MSC: 65L06 65L05 70H05 37-XX PDFBibTeX XMLCite \textit{E. Hairer}, Ann. Numer. Math. 1, No. 1--4, 107--132 (1994; Zbl 0828.65097)
Buzug, Thorsten Analysis of chaotic systems. (Analyse chaotischer Systeme.) (German) Zbl 0818.58001 Mannheim: B.I. Wissenschaftsverlag. 233 S. DM 48.00; öS 375.00; sFr 48.00/pbk (1994). Reviewer: H.G.Bothe (Berlin) MSC: 58-02 37N99 37D45 PDFBibTeX XMLCite \textit{T. Buzug}, Analyse chaotischer Systeme. Mannheim: B.I. Wissenschaftsverlag (1994; Zbl 0818.58001)
van der Aa, Els; de Winkel, Marco Hamiltonian systems in \(1:2:\omega\)-resonance (\(\omega=5\) or 6). (English) Zbl 0795.70015 Int. J. Non-Linear Mech. 29, No. 2, 261-270 (1994). MSC: 70K30 70H05 37C75 PDFBibTeX XMLCite \textit{E. van der Aa} and \textit{M. de Winkel}, Int. J. Non-Linear Mech. 29, No. 2, 261--270 (1994; Zbl 0795.70015) Full Text: DOI
Osbaldestin, A. H.; Sarkis, M. Y. Taylor series approximations to Julia set scaling functions. (English) Zbl 0754.30004 Physica D 57, No. 3-4, 330-336 (1992). Reviewer: W.Bergweiler (Aachen) MSC: 30B99 30D05 37B99 PDFBibTeX XMLCite \textit{A. H. Osbaldestin} and \textit{M. Y. Sarkis}, Physica D 57, No. 3--4, 330--336 (1992; Zbl 0754.30004) Full Text: DOI
Wang, S.; Huseyin, K. “MAPLE” analysis of nonlinear oscillations. (English) Zbl 0765.65076 Math. Comput. Modelling 16, No. 11, 49-57 (1992). Reviewer: B.Werner (Hamburg) MSC: 65L05 68W30 37-XX 34C25 34C15 PDFBibTeX XMLCite \textit{S. Wang} and \textit{K. Huseyin}, Math. Comput. Modelling 16, No. 11, 49--57 (1992; Zbl 0765.65076) Full Text: DOI
Dadfar, Mohammad B.; Geer, James F. Resonances and power series solutions of the forced van der Pol oscillator. (English) Zbl 0711.70030 SIAM J. Appl. Math. 50, No. 5, 1496-1506 (1990). MSC: 70K40 70K30 41A58 37J40 PDFBibTeX XMLCite \textit{M. B. Dadfar} and \textit{J. F. Geer}, SIAM J. Appl. Math. 50, No. 5, 1496--1506 (1990; Zbl 0711.70030) Full Text: DOI
Cho, Hing Tong; Milton, Kimball A.; Pinsky, Stephen S.; Simmons, L. M. jun. The delta expansion in zero dimensions. (English) Zbl 0694.58044 J. Math. Phys. 30, No. 9, 2143-2150 (1989). MSC: 58Z05 37-XX 41A58 81T05 PDFBibTeX XMLCite \textit{H. T. Cho} et al., J. Math. Phys. 30, No. 9, 2143--2150 (1989; Zbl 0694.58044) Full Text: DOI
Targonski, György Iteration theory and its functional equations. (English) Zbl 0715.39008 Rend. Semin. Mat. Fis. Milano 58, 207-220 (1988). Reviewer: C.H.Cap MSC: 39B12 30D05 37B99 26A18 39-02 PDFBibTeX XMLCite \textit{G. Targonski}, Rend. Semin. Mat. Fis. Milano 58, 207--220 (1988; Zbl 0715.39008) Full Text: DOI
Crouch, P. E. Hamiltonian realizations of finite Volterra series. (English) Zbl 0636.93016 Theory and applications of nonlinear control systems, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 247-259 (1986). MSC: 93B15 41A58 93C10 37J99 93C15 PDFBibTeX XML
Mikičić, Dušan; Krtolica, Radovan Some properties of the fundamental matrix of linear nonstationary dynamic system. (English) Zbl 0634.70018 Bull. Appl. Math. 43, No. 418, 251-256 (1986). MSC: 70G45 37-XX 70F99 PDFBibTeX XMLCite \textit{D. Mikičić} and \textit{R. Krtolica}, Bull. Appl. Math. 43, No. 418, 251--256 (1986; Zbl 0634.70018)
Cushman, Richard; Kelley, Al.; Koçak, Hüseyin Versal normal form at the Lagrange equilibrium \(L_ 4\). (English) Zbl 0614.70005 J. Differ. Equations 64, 340-374 (1986). Reviewer: W.Sarlet MSC: 70F07 37J99 34C20 PDFBibTeX XMLCite \textit{R. Cushman} et al., J. Differ. Equations 64, 340--374 (1986; Zbl 0614.70005) Full Text: DOI
Fliess, Michel; Lamnabhi-Lagarrigue, Françoise Volterra series and optimal control. (English) Zbl 0611.49015 Algebraic and geometric methods in nonlinear control theory, Proc. Conf., Paris 1985, Math. Appl., D. Reidel Publ. Co. 29, 371-387 (1986). MSC: 49K15 16W60 93C10 37J99 41A58 PDFBibTeX XML
Fliess, Michel; Lamnabhi-Lagarrigue, Françoise Séries de Volterra et formalisme hamiltonien (Volterra series and Hamiltonian formalism). (French) Zbl 0583.93022 C. R. Acad. Sci., Paris, Sér. I 299, 783-785 (1984). Reviewer: B.Jakubczyk MSC: 93B99 34A25 37J99 41A58 93C10 93C15 PDFBibTeX XMLCite \textit{M. Fliess} and \textit{F. Lamnabhi-Lagarrigue}, C. R. Acad. Sci., Paris, Sér. I 299, 783--785 (1984; Zbl 0583.93022)
Tang, Yaw-Shing; Mees, Alistair I.; Chua, Leon O. Hopf bifurcation via Volterra series. (English) Zbl 0503.93034 IEEE Trans. Autom. Control 28, 42-53 (1983). MSC: 93C10 37G99 41A58 34C15 37G15 93B40 PDFBibTeX XMLCite \textit{Y.-S. Tang} et al., IEEE Trans. Autom. Control 28, 42--53 (1983; Zbl 0503.93034) Full Text: DOI
Francoise, J. P. An example of diffeomorphisms whose semi-simple part is divergent. (English) Zbl 0521.58032 An. Acad. Bras. Cienc. 54, 297-298 (1982). MSC: 37J99 32B10 58A20 PDFBibTeX XMLCite \textit{J. P. Francoise}, An. Acad. Bras. Ciênc. 54, 297--298 (1982; Zbl 0521.58032)
Deprit, Andre Intrinsic variational equations in three dimensions. (English) Zbl 0512.70018 Celestial Mech. 24, 185-193 (1981). MSC: 70F15 70H25 70F20 49S05 37J99 70H03 70F07 PDFBibTeX XMLCite \textit{A. Deprit}, Celest. Mech. 24, 185--193 (1981; Zbl 0512.70018) Full Text: DOI
Broer, Henk Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case. (English) Zbl 0504.58031 Dynamical systems and turbulence, Proc. Symp., Coventry 1980, Lect. Notes Math. 898, 54-74 (1981). MSC: 37G99 37C80 17B70 37J99 PDFBibTeX XML
Bryuno, A. D. A local method of nonlinear analysis for differential equations. (Локальный метод нелинейного анализа дифференциальных уравнений.) (Russian) Zbl 0496.34002 Moskva: “Nauka”. 253 p. R. 1.50 (1979). Reviewer: A. A. Reinfelds (Riga) (MR542758) MSC: 34-01 34A34 34C05 34C20 58C25 58K99 37G99 70E05 32S05 PDFBibTeX XML