Rousseau, Christiane The equivalence problem in analytic dynamics for 1-resonance. (English) Zbl 1518.37060 Arnold Math. J. 9, No. 1, 1-39 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 37F75 34M35 34M40 32M25 32S65 PDFBibTeX XMLCite \textit{C. Rousseau}, Arnold Math. J. 9, No. 1, 1--39 (2023; Zbl 1518.37060) Full Text: DOI arXiv
Zhang, Katherine Zhiyuan Effective dynamics of the vector nonlinear Schrödinger equations on large domains. (English) Zbl 1498.35522 J. Math. Anal. Appl. 517, No. 2, Article ID 126636, 39 p. (2023). MSC: 35Q55 35Q41 76X05 35B34 35A01 35A02 PDFBibTeX XMLCite \textit{K. Z. Zhang}, J. Math. Anal. Appl. 517, No. 2, Article ID 126636, 39 p. (2023; Zbl 1498.35522) Full Text: DOI arXiv
Zhang, Xiang Regularity and convergence of local first integrals of analytic differential systems. (English) Zbl 1481.37061 J. Differ. Equations 294, 40-59 (2021). Reviewer: Huang Kaiyin (Singapur) MSC: 37J35 37C10 37C27 34C14 34C05 PDFBibTeX XMLCite \textit{X. Zhang}, J. Differ. Equations 294, 40--59 (2021; Zbl 1481.37061) Full Text: DOI arXiv
Saavedra, Mariana Dulac time of a resonant saddle in the loud family. (English) Zbl 1455.34040 J. Differ. Equations 269, No. 10, 7705-7729 (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34C23 34C07 34E05 34C05 PDFBibTeX XMLCite \textit{M. Saavedra}, J. Differ. Equations 269, No. 10, 7705--7729 (2020; Zbl 1455.34040) Full Text: DOI
Edneral, Victor F. About integrability of the degenerate system. (English) Zbl 1441.34001 England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 140-151 (2019). Reviewer: Alexey O. Remizov (Moskva) MSC: 34A05 34C20 68W30 PDFBibTeX XMLCite \textit{V. F. Edneral}, Lect. Notes Comput. Sci. 11661, 140--151 (2019; Zbl 1441.34001) Full Text: DOI
Ribón, Javier Topological rigidity of generic unfoldings of tangent to the identity diffeomorphisms. (Rigidité topologigue des déploiements génériques des difféomorphismes tangents à l’identité.) (English. French summary) Zbl 1436.37059 Ann. Inst. Fourier 69, No. 3, 993-1046 (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 37F46 37F75 37G10 32M25 PDFBibTeX XMLCite \textit{J. Ribón}, Ann. Inst. Fourier 69, No. 3, 993--1046 (2019; Zbl 1436.37059) Full Text: DOI arXiv
Dukarić, Maša; Ferčec, Brigita; Giné, Jaume The solution of the \(1:-3\) resonant center problem in the quadratic case. (English) Zbl 1334.34067 Appl. Math. Comput. 237, 501-511 (2014). MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{M. Dukarić} et al., Appl. Math. Comput. 237, 501--511 (2014; Zbl 1334.34067) Full Text: DOI
Sohou, Toussaint; Mamadou, Guehi Cohomological equation for a \(\lambda\)-resonant vector field. (English) Zbl 1317.32045 Afr. Math. Ann. (AFMA) 4, 65-80 (2013). MSC: 32M25 PDFBibTeX XMLCite \textit{T. Sohou} and \textit{G. Mamadou}, Afr. Math. Ann. (AFMA) 4, 65--80 (2013; Zbl 1317.32045)
Chen, Xingwu; Giné, Jaume; Romanovski, Valery G.; Shafer, Douglas S. The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems. (English) Zbl 1365.34006 Appl. Math. Comput. 218, No. 23, 11620-11633 (2012). MSC: 34A05 34C05 34C25 34C07 PDFBibTeX XMLCite \textit{X. Chen} et al., Appl. Math. Comput. 218, No. 23, 11620--11633 (2012; Zbl 1365.34006) Full Text: DOI
Wu, Yusen; Zhang, Cui The generalized center problem of resonant infinity for a polynomial differential system. (English) Zbl 1228.34051 Comput. Math. Appl. 62, No. 1, 151-157 (2011). MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{C. Zhang}, Comput. Math. Appl. 62, No. 1, 151--157 (2011; Zbl 1228.34051) Full Text: DOI
Żołądek, Henryk Analytic ordinary differential equations and their local classification. (English) Zbl 1191.34001 Battelli, Flaviano (ed.) et al., Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-53031-8/hbk). Handbook of Differential Equations, 593-687 (2008). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M35 34M40 32S65 PDFBibTeX XMLCite \textit{H. Żołądek}, in: Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland. 593--687 (2008; Zbl 1191.34001)
Ribón, Javier Modulus of analytic classification for unfoldings of resonant diffeomorphisms. (English) Zbl 1165.37015 Mosc. Math. J. 8, No. 2, 319-395 (2008). Reviewer: Alois Klíč (Praha) MSC: 37F45 37G10 37F75 PDFBibTeX XMLCite \textit{J. Ribón}, Mosc. Math. J. 8, No. 2, 319--395 (2008; Zbl 1165.37015) Full Text: arXiv Link
Rousseau, Christiane; Christopher, Colin Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle. (English) Zbl 1127.37039 Ann. Inst. Fourier 57, No. 1, 301-360 (2007). Reviewer: Filippo Bracci (Roma) MSC: 37F75 32S65 34M35 37C10 PDFBibTeX XMLCite \textit{C. Rousseau} and \textit{C. Christopher}, Ann. Inst. Fourier 57, No. 1, 301--360 (2007; Zbl 1127.37039) Full Text: DOI Numdam Numdam EuDML
Edneral, Victor F. Looking for periodic solutions of ODE systems by the normal form method. (English) Zbl 1161.34330 Wang, Dongming (ed.) et al., Differential equations with symbolic computation. Basel: Birkhäuser (ISBN 3-7643-7368-7/hbk). Trends in Mathematics, 173-200 (2005). MSC: 34C25 34A45 37C27 37G05 68W30 PDFBibTeX XMLCite \textit{V. F. Edneral}, in: Differential equations with symbolic computation. Basel: Birkhäuser. 173--200 (2005; Zbl 1161.34330) Full Text: DOI
Stolovitch, Laurent A KAM phenomenon for singular holomorphic vector fields. (English) Zbl 1114.37026 Publ. Math., Inst. Hautes Étud. Sci. 102, 99-165 (2005). Reviewer: Alexey A. Glutsyuk (Lyon) MSC: 37F75 32M25 32S65 34M35 37J40 PDFBibTeX XMLCite \textit{L. Stolovitch}, Publ. Math., Inst. Hautes Étud. Sci. 102, 99--165 (2005; Zbl 1114.37026) Full Text: DOI arXiv Numdam Numdam EuDML
Iooss, Gérard; Lombardi, Eric Normal forms with exponentially small remainder: application to homoclinic connections for the reversible \(0^{2+}i\omega\) resonance. (English. Abridged French version) Zbl 1066.34041 C. R., Math., Acad. Sci. Paris 339, No. 12, 831-838 (2004). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C20 34C23 37C27 37C29 PDFBibTeX XMLCite \textit{G. Iooss} and \textit{E. Lombardi}, C. R., Math., Acad. Sci. Paris 339, No. 12, 831--838 (2004; Zbl 1066.34041) Full Text: DOI
Ren, Zhihua; Yang, Jiazhong On \(C^{1}\) classifications of hyperbolic vector fields. (English) Zbl 1057.34039 J. Math. Anal. Appl. 284, No. 1, 118-126 (2003). Reviewer: Peter F. Moson (Budapest) MSC: 34C41 34C20 PDFBibTeX XMLCite \textit{Z. Ren} and \textit{J. Yang}, J. Math. Anal. Appl. 284, No. 1, 118--126 (2003; Zbl 1057.34039) Full Text: DOI
Dickinson, Detta; Gramchev, Todor; Yoshino, Masafumi Perturbations of vector fields on tori: Resonant normal forms and Diophantine phenomena. (English) Zbl 1032.37010 Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 731-759 (2002). Reviewer: Veikko Ennola (Turku) MSC: 37C15 11J13 58J40 11J20 35S05 PDFBibTeX XMLCite \textit{D. Dickinson} et al., Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 731--759 (2002; Zbl 1032.37010) Full Text: DOI
Bonckaert, Patrick; Neirynck, Koen Equivalence of nearly resonant planar saddles and Ecalle-Roussarie compensators. (English) Zbl 1021.34025 Commun. Appl. Nonlinear Anal. 9, No. 1, 49-65 (2002). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C41 PDFBibTeX XMLCite \textit{P. Bonckaert} and \textit{K. Neirynck}, Commun. Appl. Nonlinear Anal. 9, No. 1, 49--65 (2002; Zbl 1021.34025)
Blaom, Anthony D. Reconstruction phases via Poisson reduction. (English) Zbl 0973.70017 Differ. Geom. Appl. 12, No. 3, 231-252 (2000). MSC: 70H33 70G45 53Z05 PDFBibTeX XMLCite \textit{A. D. Blaom}, Differ. Geom. Appl. 12, No. 3, 231--252 (2000; Zbl 0973.70017) Full Text: DOI
Voronin, S. M.; Grintchy, A. A. An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane. (English) Zbl 0988.37066 J. Dyn. Control Syst. 2, No. 1, 21-53 (1996). Reviewer: Zofia Denkowska (Angers) MSC: 37G15 34C05 34C20 37G05 PDFBibTeX XMLCite \textit{S. M. Voronin} and \textit{A. A. Grintchy}, J. Dyn. Control Syst. 2, No. 1, 21--53 (1996; Zbl 0988.37066) Full Text: DOI
Iooss, G.; Pérouème, M. C. Perturbed homoclinic solutions in reversible 1:1 resonance vector fields. (English) Zbl 0792.34044 J. Differ. Equations 102, No. 1, 62-88 (1993). Reviewer: L.M.Perko (Flagstaff) MSC: 34C37 76B15 PDFBibTeX XMLCite \textit{G. Iooss} and \textit{M. C. Pérouème}, J. Differ. Equations 102, No. 1, 62--88 (1993; Zbl 0792.34044) Full Text: DOI
Kisaka, Masashi; Kokubu, Hiroshi; Oka, Hiroe Bifurcations to \(N\)-homoclinic orbits and \(N\)-periodic orbits in vector fields. (English) Zbl 0784.34038 J. Dyn. Differ. Equations 5, No. 2, 305-357 (1993). Reviewer: S.Schecter (Raleigh) MSC: 34C37 34C23 PDFBibTeX XMLCite \textit{M. Kisaka} et al., J. Dyn. Differ. Equations 5, No. 2, 305--357 (1993; Zbl 0784.34038) Full Text: DOI
Hong, Jiaxing Normal form of singularities of vector fields and the microlocally equivalent transformation. (Chinese. English summary) Zbl 0596.58006 J. Fudan Univ., Nat. Sci. 25, 103-112 (1986). MSC: 58C25 58K99 58J47 PDFBibTeX XMLCite \textit{J. Hong}, J. Fudan Univ., Nat. Sci. 25, 103--112 (1986; Zbl 0596.58006)
Haefliger, A. Deformations of transversely holomorphic flows on spheres and deformations of Hopf manifolds. (English) Zbl 0582.32026 Compos. Math. 55, 241-251 (1985). Reviewer: A.Morimoto MSC: 32G07 57R30 32G05 PDFBibTeX XMLCite \textit{A. Haefliger}, Compos. Math. 55, 241--251 (1985; Zbl 0582.32026) Full Text: Numdam EuDML
Il’yashenko, Yu. S. The finiteness problem for limit cycles of polynomial vector fields on the plane, germs of saddle resonant vector fields and non-Hausdorff Riemann surfaces. (English) Zbl 0588.34024 Topology, general and algebraic topology, and applications, Proc. int. Conf., Leningrad 1982, Lect. Notes Math. 1060, 290-305 (1984). MSC: 34C05 PDFBibTeX XML