León, V.; Scárdua, B. On integral conditions for the existence of first integrals for analytic deformations of complex saddle singularities. (English) Zbl 07785792 J. Dyn. Control Syst. 29, No. 4, 1187-1201 (2023). MSC: 37F75 57R30 32M25 32S65 PDFBibTeX XMLCite \textit{V. León} and \textit{B. Scárdua}, J. Dyn. Control Syst. 29, No. 4, 1187--1201 (2023; Zbl 07785792) Full Text: DOI arXiv
Chaves, Francisco Holonomy and equivalence of analytic foliations. (English) Zbl 1504.32059 J. Dyn. Control Syst. 28, No. 4, 771-790 (2022). MSC: 32M25 32S65 PDFBibTeX XMLCite \textit{F. Chaves}, J. Dyn. Control Syst. 28, No. 4, 771--790 (2022; Zbl 1504.32059) Full Text: DOI arXiv
Hu, Xing; Yang, Junmin Limit cycle bifurcations for a kind of Liénard system with degree seven. (English) Zbl 1508.34043 J. Dyn. Control Syst. 28, No. 2, 267-290 (2022). Reviewer: Tao Li (Chengdu) MSC: 34C23 34C05 34C07 34E10 PDFBibTeX XMLCite \textit{X. Hu} and \textit{J. Yang}, J. Dyn. Control Syst. 28, No. 2, 267--290 (2022; Zbl 1508.34043) Full Text: DOI
Mardešić, P.; Marín, D.; Villadelprat, J. Bifurcations of zeros in translated families of functions and applications. (English) Zbl 1495.34061 J. Dyn. Control Syst. 28, No. 1, 121-150 (2022). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C05 34C25 34C37 34C07 PDFBibTeX XMLCite \textit{P. Mardešić} et al., J. Dyn. Control Syst. 28, No. 1, 121--150 (2022; Zbl 1495.34061) Full Text: DOI Link
Zare, Yadollah; Tanabé, Susumu Brieskorn module and center conditions: pull-back of differential equations in projective space. (English) Zbl 1478.32102 J. Dyn. Control Syst. 27, No. 4, 799-816 (2021); correction ibid. 27, No. 4, 817 (2021). MSC: 32S65 32G13 PDFBibTeX XMLCite \textit{Y. Zare} and \textit{S. Tanabé}, J. Dyn. Control Syst. 27, No. 4, 799--816 (2021; Zbl 1478.32102) Full Text: DOI arXiv
Demina, Maria V.; Kuznetsov, Nikolai S. Liouvillian integrability and the Poincaré problem for nonlinear oscillators with quadratic damping and polynomial forces. (English) Zbl 1482.34003 J. Dyn. Control Syst. 27, No. 2, 403-415 (2021). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 34A05 34C15 34C45 PDFBibTeX XMLCite \textit{M. V. Demina} and \textit{N. S. Kuznetsov}, J. Dyn. Control Syst. 27, No. 2, 403--415 (2021; Zbl 1482.34003) Full Text: DOI
Klimeš, Martin; Rousseau, Christiane Remarks on rational vector fields on \(\mathbb{CP}^1\). (English) Zbl 1471.37050 J. Dyn. Control Syst. 27, No. 2, 293-320 (2021). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 37F75 37F46 32M25 32S65 PDFBibTeX XMLCite \textit{M. Klimeš} and \textit{C. Rousseau}, J. Dyn. Control Syst. 27, No. 2, 293--320 (2021; Zbl 1471.37050) Full Text: DOI arXiv
Glutsyuk, A. A.; Netay, I. V. On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction. (English) Zbl 1456.34083 J. Dyn. Control Syst. 26, No. 4, 785-820 (2020). Reviewer: Bertin Zinsou (Johannesburg) MSC: 34M35 14H50 37E45 74K30 PDFBibTeX XMLCite \textit{A. A. Glutsyuk} and \textit{I. V. Netay}, J. Dyn. Control Syst. 26, No. 4, 785--820 (2020; Zbl 1456.34083) Full Text: DOI arXiv
Ortiz-Bobadilla, L.; Rosales-González, E.; Voronin, S. M. Analytic classification of foliations induced by germs of holomorphic vector fields in \((\mathbb {C}^{n},0)\) with non-isolated singularities. (English) Zbl 1477.32053 J. Dyn. Control Syst. 25, No. 3, 491-516 (2019). MSC: 32S65 32M25 PDFBibTeX XMLCite \textit{L. Ortiz-Bobadilla} et al., J. Dyn. Control Syst. 25, No. 3, 491--516 (2019; Zbl 1477.32053) Full Text: DOI
Glutsyuk, A. A. On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation. (English) Zbl 1431.34060 J. Dyn. Control Syst. 25, No. 3, 323-349 (2019). MSC: 34C40 34M35 34M40 37E45 37C60 82D55 34M03 PDFBibTeX XMLCite \textit{A. A. Glutsyuk}, J. Dyn. Control Syst. 25, No. 3, 323--349 (2019; Zbl 1431.34060) Full Text: DOI arXiv
Stoyanova, Tsvetana Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1. (English) Zbl 1418.34163 J. Dyn. Control Syst. 24, No. 4, 511-539 (2018). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M40 34M35 34M03 PDFBibTeX XMLCite \textit{T. Stoyanova}, J. Dyn. Control Syst. 24, No. 4, 511--539 (2018; Zbl 1418.34163) Full Text: DOI arXiv
Ardila, Jonny On first integrals for holomorphic vector fields. (English) Zbl 1403.37054 J. Dyn. Control Syst. 24, No. 3, 439-455 (2018). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 37F75 32H50 32S65 32M25 PDFBibTeX XMLCite \textit{J. Ardila}, J. Dyn. Control Syst. 24, No. 3, 439--455 (2018; Zbl 1403.37054) Full Text: DOI arXiv
Ramírez, Valente Twin vector fields and independence of spectra for quadratic vector fields. (English) Zbl 1381.37058 J. Dyn. Control Syst. 23, No. 3, 623-633 (2017). Reviewer: Rafael B. Andrist (Wuppertal) MSC: 37F75 32M25 32S65 34M15 34M35 PDFBibTeX XMLCite \textit{V. Ramírez}, J. Dyn. Control Syst. 23, No. 3, 623--633 (2017; Zbl 1381.37058) Full Text: DOI arXiv
Pontigo-Herrera, Jessie Tangential center problem for a family of non-generic Hamiltonians. (English) Zbl 1395.34089 J. Dyn. Control Syst. 23, No. 3, 597-622 (2017). Reviewer: Liqin Zhao (Beijing) MSC: 34M35 34C08 14D05 37J40 PDFBibTeX XMLCite \textit{J. Pontigo-Herrera}, J. Dyn. Control Syst. 23, No. 3, 597--622 (2017; Zbl 1395.34089) Full Text: DOI
Schurov, Ilya; Solodovnikov, Nikita Duck factory on the two-torus: multiple canard cycles without geometric constraints. (English) Zbl 1382.34063 J. Dyn. Control Syst. 23, No. 3, 481-498 (2017). Reviewer: Vladimir Sobolev (Samara) MSC: 34E17 34K19 34C40 34E15 37E45 PDFBibTeX XMLCite \textit{I. Schurov} and \textit{N. Solodovnikov}, J. Dyn. Control Syst. 23, No. 3, 481--498 (2017; Zbl 1382.34063) Full Text: DOI arXiv
Okunev, Alexey Milnor attractors of skew products with the fiber a circle. (English) Zbl 1372.37043 J. Dyn. Control Syst. 23, No. 2, 421-433 (2017). MSC: 37C05 37C20 37C70 37D30 PDFBibTeX XMLCite \textit{A. Okunev}, J. Dyn. Control Syst. 23, No. 2, 421--433 (2017; Zbl 1372.37043) Full Text: DOI arXiv
Jaurez-Rosas, Jessica Angélica Real-formal orbital rigidity for germs of real analytic vector fields on the real plane. (English) Zbl 1369.32022 J. Dyn. Control Syst. 23, No. 1, 89-109 (2017). MSC: 32S65 37F75 32M25 PDFBibTeX XMLCite \textit{J. A. Jaurez-Rosas}, J. Dyn. Control Syst. 23, No. 1, 89--109 (2017; Zbl 1369.32022) Full Text: DOI
Ilyashenko, Yulij; Romaskevich, Olga Sternberg linearization theorem for skew products. (English) Zbl 1370.37098 J. Dyn. Control Syst. 22, No. 3, 595-614 (2016). MSC: 37G05 37D30 37C15 PDFBibTeX XMLCite \textit{Y. Ilyashenko} and \textit{O. Romaskevich}, J. Dyn. Control Syst. 22, No. 3, 595--614 (2016; Zbl 1370.37098) Full Text: DOI arXiv
Klimeš, Martin Confluence of singularities of nonlinear differential equations via Borel-Laplace transformations. (English) Zbl 1339.34095 J. Dyn. Control Syst. 22, No. 2, 285-324 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M40 34M25 PDFBibTeX XMLCite \textit{M. Klimeš}, J. Dyn. Control Syst. 22, No. 2, 285--324 (2016; Zbl 1339.34095) Full Text: DOI arXiv
Arriagada-Silva, Waldo Temporally normalizable generic unfoldings of order-1 weak foci. (English) Zbl 1339.34049 J. Dyn. Control Syst. 21, No. 2, 239-256 (2015). Reviewer: Jaume Giné (Lleida) MSC: 34C20 34C05 34C14 PDFBibTeX XMLCite \textit{W. Arriagada-Silva}, J. Dyn. Control Syst. 21, No. 2, 239--256 (2015; Zbl 1339.34049) Full Text: DOI arXiv
Martelo, M.; Scárdua, B. Integrating factors for groups of formal complex diffeomorphisms. (English) Zbl 1316.37027 J. Dyn. Control Syst. 19, No. 2, 195-235 (2013). Reviewer: Tatiana Firsova (Stony Brook) MSC: 37F75 34M35 PDFBibTeX XMLCite \textit{M. Martelo} and \textit{B. Scárdua}, J. Dyn. Control Syst. 19, No. 2, 195--235 (2013; Zbl 1316.37027) Full Text: DOI arXiv
Ghezzi, R.; Remizov, A. O. On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics. (English) Zbl 1284.37016 J. Dyn. Control Syst. 18, No. 1, 135-158 (2012). MSC: 37C15 34C05 34C20 PDFBibTeX XMLCite \textit{R. Ghezzi} and \textit{A. O. Remizov}, J. Dyn. Control Syst. 18, No. 1, 135--158 (2012; Zbl 1284.37016) Full Text: DOI arXiv
Kolutsky, G. An upper estimate for the number of limit cycles of even-degree Liénard equations in the focus case. (English) Zbl 1221.34080 J. Dyn. Control Syst. 17, No. 2, 231-241 (2011). MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{G. Kolutsky}, J. Dyn. Control Syst. 17, No. 2, 231--241 (2011; Zbl 1221.34080) Full Text: DOI arXiv
Schurov, I. V. Ducks on the torus: existence and uniqueness. (English) Zbl 1203.34081 J. Dyn. Control Syst. 16, No. 2, 267-300 (2010). MSC: 34E15 34E17 37G15 70K70 PDFBibTeX XMLCite \textit{I. V. Schurov}, J. Dyn. Control Syst. 16, No. 2, 267--300 (2010; Zbl 1203.34081) Full Text: DOI arXiv
Ortiz-Bobadilla, L.; Rosales-González, E.; Voronin, S. M. Extended holonomy and topological invariance of vanishing holonomy group. (English) Zbl 1203.32012 J. Dyn. Control Syst. 14, No. 3, 299-358 (2008). MSC: 32S65 34M35 37F75 34C14 PDFBibTeX XMLCite \textit{L. Ortiz-Bobadilla} et al., J. Dyn. Control Syst. 14, No. 3, 299--358 (2008; Zbl 1203.32012) Full Text: DOI
Yakovenko, Sergei Oscillation of linear ordinary differential equations: on a theorem of A. Grigoriev. (English) Zbl 1131.34028 J. Dyn. Control Syst. 12, No. 3, 433-449 (2006). MSC: 34C10 34C08 34M10 34A30 PDFBibTeX XMLCite \textit{S. Yakovenko}, J. Dyn. Control Syst. 12, No. 3, 433--449 (2006; Zbl 1131.34028) Full Text: DOI arXiv
Movasati, H. Meromorphic connections on \(\mathbb P^1\) and the multiplicity of Abelian integrals. (English) Zbl 1128.32018 J. Dyn. Control Syst. 12, No. 2, 217-228 (2006). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 32S40 14K20 14F05 14C21 PDFBibTeX XMLCite \textit{H. Movasati}, J. Dyn. Control Syst. 12, No. 2, 217--228 (2006; Zbl 1128.32018) Full Text: DOI arXiv
Ahern, Patrick; Gong, Xianghong A complete classification for pairs of real analytic curves in the complex plane with tangential intersection. (English) Zbl 1112.30008 J. Dyn. Control Syst. 11, No. 1, 1-71 (2005). MSC: 30C35 32B10 37F75 PDFBibTeX XMLCite \textit{P. Ahern} and \textit{X. Gong}, J. Dyn. Control Syst. 11, No. 1, 1--71 (2005; Zbl 1112.30008) Full Text: DOI
Bonckaert, P. Conjugacy of vector fields respecting additional properties. (English) Zbl 1157.37322 J. Dyn. Control Syst. 3, No. 3, 419-432 (1997). MSC: 37G05 PDFBibTeX XMLCite \textit{P. Bonckaert}, J. Dyn. Control Syst. 3, No. 3, 419--432 (1997; Zbl 1157.37322) Full Text: DOI
Davydov, A. A.; Ortiz-Bobadilla, L. Smooth normal forms of folded elementary singular points. (English) Zbl 0949.37025 J. Dyn. Control Syst. 1, No. 4, 463-482 (1995). MSC: 37G05 34A09 37G10 35A25 PDFBibTeX XMLCite \textit{A. A. Davydov} and \textit{L. Ortiz-Bobadilla}, J. Dyn. Control Syst. 1, No. 4, 463--482 (1995; Zbl 0949.37025) Full Text: DOI
Villarini, M. Algebraic nonsolvability of the problem of existence of holomorphic first integrals. (English) Zbl 0949.37028 J. Dyn. Control Syst. 1, No. 3, 403-425 (1995). Reviewer: Zofia Denkowska (Angers) MSC: 37G15 32G34 34C05 34C20 PDFBibTeX XMLCite \textit{M. Villarini}, J. Dyn. Control Syst. 1, No. 3, 403--425 (1995; Zbl 0949.37028) Full Text: DOI