Fan, Shengjun; Hu, Ying; Tang, Shanjian Multi-dimensional backward stochastic differential equations of diagonally quadratic generators: the general result. (English) Zbl 07700853 J. Differ. Equations 368, 105-140 (2023). Reviewer: Feng Chen (Changchun) MSC: 60H10 PDFBibTeX XMLCite \textit{S. Fan} et al., J. Differ. Equations 368, 105--140 (2023; Zbl 07700853) Full Text: DOI arXiv
Sun, Jingrui; Wang, Hanxiao; Wu, Zhen Mean-field linear-quadratic stochastic differential games. (English) Zbl 1479.91032 J. Differ. Equations 296, 299-334 (2021). MSC: 91A15 91A16 91A05 49N10 49N70 49N80 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Differ. Equations 296, 299--334 (2021; Zbl 1479.91032) Full Text: DOI arXiv
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. (English) Zbl 1466.34033 J. Differ. Equations 280, 139-178 (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C07 34C05 34C29 34C25 PDFBibTeX XMLCite \textit{Y. Xiong} et al., J. Differ. Equations 280, 139--178 (2021; Zbl 1466.34033) Full Text: DOI
Françoise, Jean-Pierre; Yang, Peixing Quadratic double centers and their perturbations. (English) Zbl 1462.34050 J. Differ. Equations 271, 563-593 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C07 34C25 34C23 PDFBibTeX XMLCite \textit{J.-P. Françoise} and \textit{P. Yang}, J. Differ. Equations 271, 563--593 (2021; Zbl 1462.34050) Full Text: DOI
Hu, Ying; Li, Xun; Wen, Jiaqiang Anticipated backward stochastic differential equations with quadratic growth. (English) Zbl 1467.60041 J. Differ. Equations 270, 1298-1331 (2021). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{Y. Hu} et al., J. Differ. Equations 270, 1298--1331 (2021; Zbl 1467.60041) Full Text: DOI arXiv
Carravetta, Francesco On the solution calculation of nonlinear ordinary differential equations via exact quadratization. (English) Zbl 1476.34052 J. Differ. Equations 269, No. 12, 11328-11365 (2020). Reviewer: Guy Katriel (Haifa) MSC: 34A34 34C20 34A25 PDFBibTeX XMLCite \textit{F. Carravetta}, J. Differ. Equations 269, No. 12, 11328--11365 (2020; Zbl 1476.34052) Full Text: DOI arXiv
Grüne, Lars; Schaller, Manuel; Schiela, Anton Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. (English) Zbl 1436.49044 J. Differ. Equations 268, No. 12, 7311-7341 (2020). MSC: 49N10 49K20 49K40 93D20 PDFBibTeX XMLCite \textit{L. Grüne} et al., J. Differ. Equations 268, No. 12, 7311--7341 (2020; Zbl 1436.49044) Full Text: DOI Link
Issoglio, Elena A non-linear parabolic PDE with a distributional coefficient and its applications to stochastic analysis. (English) Zbl 1447.35193 J. Differ. Equations 267, No. 10, 5976-6003 (2019). MSC: 35K58 35K15 35R60 60H10 30H25 35K67 PDFBibTeX XMLCite \textit{E. Issoglio}, J. Differ. Equations 267, No. 10, 5976--6003 (2019; Zbl 1447.35193) Full Text: DOI arXiv Link
Buică, Adriana; Giné, Jaume; Grau, Maite On the critical points of the flight return time function of perturbed closed orbits. (English) Zbl 1433.34058 J. Differ. Equations 266, No. 12, 8344-8369 (2019). Reviewer: Armengol Gasull (Barcelona) MSC: 34C23 34C05 34C25 34C07 34E10 PDFBibTeX XMLCite \textit{A. Buică} et al., J. Differ. Equations 266, No. 12, 8344--8369 (2019; Zbl 1433.34058) Full Text: DOI
da Cruz, Leonardo P. C.; Novaes, Douglas D.; Torregrosa, Joan New lower bound for the Hilbert number in piecewise quadratic differential systems. (English) Zbl 1435.37075 J. Differ. Equations 266, No. 7, 4170-4203 (2019). Reviewer: Hanying Feng (Shijiazhuang) MSC: 37G15 37C27 37G10 34C07 PDFBibTeX XMLCite \textit{L. P. C. da Cruz} et al., J. Differ. Equations 266, No. 7, 4170--4203 (2019; Zbl 1435.37075) Full Text: DOI arXiv Link
Cen, Xiuli; Liu, Changjian; Yang, Lijun; Zhang, Meirong Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems. (English) Zbl 1444.34032 J. Differ. Equations 265, No. 12, 6083-6126 (2018). MSC: 34A36 34C07 34C23 34C25 34E10 34C05 PDFBibTeX XMLCite \textit{X. Cen} et al., J. Differ. Equations 265, No. 12, 6083--6126 (2018; Zbl 1444.34032) Full Text: DOI
Schlomiuk, Dana; Zhang, Xiang Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. (English) Zbl 1393.37023 J. Differ. Equations 265, No. 8, 3650-3684 (2018). MSC: 37C10 58K45 34C37 37C29 37J45 70H05 34C05 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{X. Zhang}, J. Differ. Equations 265, No. 8, 3650--3684 (2018; Zbl 1393.37023) Full Text: DOI
Wheeden, Richard L. Second order smoothness of weak solutions of degenerate linear equations. (English) Zbl 1398.35084 J. Differ. Equations 265, No. 2, 671-701 (2018). Reviewer: Tommi Brander (Trondheim) MSC: 35J70 35B65 35D30 35G05 PDFBibTeX XMLCite \textit{R. L. Wheeden}, J. Differ. Equations 265, No. 2, 671--701 (2018; Zbl 1398.35084) Full Text: DOI
Beauchard, Karine; Marbach, Frédéric Quadratic obstructions to small-time local controllability for scalar-input systems. (English) Zbl 1377.93042 J. Differ. Equations 264, No. 5, 3704-3774 (2018). MSC: 93B05 93C15 93C10 93B18 PDFBibTeX XMLCite \textit{K. Beauchard} and \textit{F. Marbach}, J. Differ. Equations 264, No. 5, 3704--3774 (2018; Zbl 1377.93042) Full Text: DOI arXiv HAL
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. (English) Zbl 1339.34052 J. Differ. Equations 260, No. 5, 4473-4498 (2016). Reviewer: Iliya Iliev (Sofia) MSC: 34C23 34C05 34E10 34C37 PDFBibTeX XMLCite \textit{Y. Xiong} et al., J. Differ. Equations 260, No. 5, 4473--4498 (2016; Zbl 1339.34052) Full Text: DOI
Dias, Kealey; Lei, Tan On parameter space of complex polynomial vector fields in \(\mathbb{C}\). (English) Zbl 1362.37099 J. Differ. Equations 260, No. 1, 628-652 (2016). Reviewer: Lorena López Hernanz (Belo Horizonte) MSC: 37F75 34C23 34C37 PDFBibTeX XMLCite \textit{K. Dias} and \textit{T. Lei}, J. Differ. Equations 260, No. 1, 628--652 (2016; Zbl 1362.37099) Full Text: DOI arXiv
Lin, Xiao-Biao; Long, Bin; Zhu, Changrong Multiple transverse homoclinic solutions near a degenerate homoclinic orbit. (English) Zbl 1332.34081 J. Differ. Equations 259, No. 1, 1-24 (2015); corrigendum ibid. 259, No. 11, 6885-6886 (2015). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 34C23 34D09 PDFBibTeX XMLCite \textit{X.-B. Lin} et al., J. Differ. Equations 259, No. 1, 1--24 (2015; Zbl 1332.34081) Full Text: DOI
Fu, Sheng-Chen; Tsai, Je-Chiang The evolution of traveling waves in a simple isothermal chemical system modeling quadratic autocatalysis with strong decay. (English) Zbl 1388.34019 J. Differ. Equations 256, No. 10, 3335-3364 (2014); corrigendum ibid. 257, No. 8, 3075-3077 (2014). MSC: 34B40 35C07 35K57 34C37 PDFBibTeX XMLCite \textit{S.-C. Fu} and \textit{J.-C. Tsai}, J. Differ. Equations 256, No. 10, 3335--3364 (2014; Zbl 1388.34019) Full Text: DOI
Mugnolo, Delio; Nicaise, Serge Well-posedness and spectral properties of heat and wave equations with non-local conditions. (English) Zbl 1298.47056 J. Differ. Equations 256, No. 7, 2115-2151 (2014). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 35J20 34B10 PDFBibTeX XMLCite \textit{D. Mugnolo} and \textit{S. Nicaise}, J. Differ. Equations 256, No. 7, 2115--2151 (2014; Zbl 1298.47056) Full Text: DOI arXiv
Essaky, E. H.; Hassani, M. Generalized BSDE with 2-reflecting barriers and stochastic quadratic growth. (English) Zbl 1278.60092 J. Differ. Equations 254, No. 3, 1500-1528 (2013). Reviewer: Oliver Janke (Berlin) MSC: 60H10 60H20 PDFBibTeX XMLCite \textit{E. H. Essaky} and \textit{M. Hassani}, J. Differ. Equations 254, No. 3, 1500--1528 (2013; Zbl 1278.60092) Full Text: DOI arXiv
Liu, Changjian The cyclicity of period annuli of a class of quadratic reversible systems with two centers. (English) Zbl 1244.34049 J. Differ. Equations 252, No. 10, 5260-5273 (2012). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C08 34C14 PDFBibTeX XMLCite \textit{C. Liu}, J. Differ. Equations 252, No. 10, 5260--5273 (2012; Zbl 1244.34049) Full Text: DOI
Zhang, Qingye; Liu, Chungen Infinitely many periodic solutions for second order Hamiltonian systems. (English) Zbl 1230.37081 J. Differ. Equations 251, No. 4-5, 816-833 (2011). Reviewer: Dorin Andrica (Riyadh) MSC: 37J45 34C25 47J30 58E05 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Liu}, J. Differ. Equations 251, No. 4--5, 816--833 (2011; Zbl 1230.37081) Full Text: DOI arXiv
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae Quadratic systems with a polynomial first integral: A complete classification in the coefficient space \(\mathbb R^{12}\). (English) Zbl 1170.34003 J. Differ. Equations 246, No. 9, 3535-3558 (2009). Reviewer: Alexey Remizov (Trieste) MSC: 34A05 34C07 34C14 PDFBibTeX XMLCite \textit{J. C. Artés} et al., J. Differ. Equations 246, No. 9, 3535--3558 (2009; Zbl 1170.34003) Full Text: DOI
Artés, Joan C.; Dumortier, Freddy; Llibre, Jaume Limit cycles near hyperbolas in quadratic systems. (English) Zbl 1169.34030 J. Differ. Equations 246, No. 1, 235-260 (2009). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C05 34C37 34E15 PDFBibTeX XMLCite \textit{J. C. Artés} et al., J. Differ. Equations 246, No. 1, 235--260 (2009; Zbl 1169.34030) Full Text: DOI
Gautier, Sébastien Quadratic centers defining elliptic surfaces. (English) Zbl 1171.34034 J. Differ. Equations 245, No. 12, 3545-3569 (2008). Reviewer: Iliya Iliev (Sofia) MSC: 34C99 37C15 34C08 14J27 34C05 34A05 PDFBibTeX XMLCite \textit{S. Gautier}, J. Differ. Equations 245, No. 12, 3545--3569 (2008; Zbl 1171.34034) Full Text: DOI arXiv
Katriel, Guy; Kupferman, Raz; Titi, Edriss S. Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids. (English) Zbl 1156.35010 J. Differ. Equations 245, No. 10, 2771-2784 (2008). MSC: 35B40 35F25 37C70 35Q72 35B41 PDFBibTeX XMLCite \textit{G. Katriel} et al., J. Differ. Equations 245, No. 10, 2771--2784 (2008; Zbl 1156.35010) Full Text: DOI arXiv
Gasull, Armengol; Yu, Jiang On the critical periods of perturbed isochronous centers. (English) Zbl 1143.34024 J. Differ. Equations 244, No. 3, 696-715 (2008). Reviewer: Peter Giesl (Brighton) MSC: 34C23 34C05 34C25 37C27 PDFBibTeX XMLCite \textit{A. Gasull} and \textit{J. Yu}, J. Differ. Equations 244, No. 3, 696--715 (2008; Zbl 1143.34024) Full Text: DOI Link
Chavarriga, Javier; García, Belén; Llibre, Jaume; Pérez Del Río, Jesús S.; Rodríguez, José Angel Polynomial first integrals of quadratic vector fields. (English) Zbl 1117.34035 J. Differ. Equations 230, No. 2, 393-421 (2006). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C14 37C10 34A05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., J. Differ. Equations 230, No. 2, 393--421 (2006; Zbl 1117.34035) Full Text: DOI
Llibre, Jaume; Świrszcz, Grzegorz Relationships between limit cycles and algebraic invariant curves for quadratic systems. (English) Zbl 1109.34025 J. Differ. Equations 229, No. 2, 529-537 (2006). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{G. Świrszcz}, J. Differ. Equations 229, No. 2, 529--537 (2006; Zbl 1109.34025) Full Text: DOI
Chavarriga, J.; García, I. A.; Sorolla, J. Non-nested configuration of algebraic limit cycles in quadratic systems. (English) Zbl 1107.34026 J. Differ. Equations 225, No. 2, 513-527 (2006). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., J. Differ. Equations 225, No. 2, 513--527 (2006; Zbl 1107.34026) Full Text: DOI
Mardešić, P.; Marín, D.; Villadelprat, J. The period function of reversible quadratic centers. (English) Zbl 1092.34020 J. Differ. Equations 224, No. 1, 120-171 (2006). Reviewer: A. D. Osborne (Keele) MSC: 34C23 PDFBibTeX XMLCite \textit{P. Mardešić} et al., J. Differ. Equations 224, No. 1, 120--171 (2006; Zbl 1092.34020) Full Text: DOI
Schlomiuk, Dana; Vulpe, Nicolae Geometry of quadratic differential systems in the neighborhood of infinity. (English) Zbl 1090.34024 J. Differ. Equations 215, No. 2, 357-400 (2005). Reviewer: Ladislav Adamec (Brno) MSC: 34C05 34A26 34C14 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, J. Differ. Equations 215, No. 2, 357--400 (2005; Zbl 1090.34024) Full Text: DOI arXiv
Li, Chengzhi; Roussarie, Robert The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. (English) Zbl 1071.34032 J. Differ. Equations 205, No. 2, 488-520 (2004). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C23 34C37 37G15 PDFBibTeX XMLCite \textit{C. Li} and \textit{R. Roussarie}, J. Differ. Equations 205, No. 2, 488--520 (2004; Zbl 1071.34032) Full Text: DOI
Guíñez, V.; Gutierrez, C. Rank-1 codimension one singularities of positive quadratic differential forms. (English) Zbl 1055.37058 J. Differ. Equations 206, No. 1, 127-155 (2004). Reviewer: Wojciech Domitrz (Warszawa) MSC: 37G10 37C20 58K40 37C85 PDFBibTeX XMLCite \textit{V. Guíñez} and \textit{C. Gutierrez}, J. Differ. Equations 206, No. 1, 127--155 (2004; Zbl 1055.37058) Full Text: DOI
Chavarriga, Javier; Llibre, Jaume; Sorolla, Jordi Algebraic limit cycles of degree 4 for quadratic systems. (English) Zbl 1059.34021 J. Differ. Equations 200, No. 2, 206-244 (2004). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., J. Differ. Equations 200, No. 2, 206--244 (2004; Zbl 1059.34021) Full Text: DOI
Rousseau, Christiane; Zhu, Huaiping PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert’s 16th problem. (English) Zbl 1046.34055 J. Differ. Equations 196, No. 1, 169-208 (2004). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 37C10 37G15 PDFBibTeX XMLCite \textit{C. Rousseau} and \textit{H. Zhu}, J. Differ. Equations 196, No. 1, 169--208 (2004; Zbl 1046.34055) Full Text: DOI
Ainseba, Bedr’Eddine; Noussair, Ahmed Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure. (English) Zbl 1028.35073 J. Differ. Equations 187, No. 2, 293-309 (2003). MSC: 35K60 92D25 35A05 PDFBibTeX XMLCite \textit{B. Ainseba} and \textit{A. Noussair}, J. Differ. Equations 187, No. 2, 293--309 (2003; Zbl 1028.35073) Full Text: DOI
Zhao, Yulin The monotonicity of period function for the codimension four quadratic system \(Q_4\). (English) Zbl 1047.34024 J. Differ. Equations 185, No. 1, 370-387 (2002). Reviewer: Ladislav Adamec (Brno) MSC: 34C05 34C07 34C25 PDFBibTeX XMLCite \textit{Y. Zhao}, J. Differ. Equations 185, No. 1, 370--387 (2002; Zbl 1047.34024) Full Text: DOI
Dumortier, Freddy; Herssens, Chris; Perko, Lawrence Local bifurcations and a survey of bounded quadratic systems. (English) Zbl 0961.34029 J. Differ. Equations 165, No. 2, 430-467 (2000). MSC: 34C23 37G10 34C07 34C05 PDFBibTeX XMLCite \textit{F. Dumortier} et al., J. Differ. Equations 165, No. 2, 430--467 (2000; Zbl 0961.34029) Full Text: DOI
Świrszcz, Grzegorz Cyclicity of infinite contour around certain reversible quadratic center. (English) Zbl 0941.34020 J. Differ. Equations 154, No. 2, 239-266 (1999). Reviewer: C.Chicone (Columbia) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{G. Świrszcz}, J. Differ. Equations 154, No. 2, 239--266 (1999; Zbl 0941.34020) Full Text: DOI
Zegeling, André; Kooij, Robert E. The distribution of limit cycles in quadratic systems with four finite singularities. (English) Zbl 0923.34029 J. Differ. Equations 151, No. 2, 373-385 (1999). Reviewer: Klaus R.Schneider (Berlin) MSC: 34C05 PDFBibTeX XMLCite \textit{A. Zegeling} and \textit{R. E. Kooij}, J. Differ. Equations 151, No. 2, 373--385 (1999; Zbl 0923.34029) Full Text: DOI
Bairamov, Elgiz; Çakar, Öner; Krall, Allan M. An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities. (English) Zbl 0945.34067 J. Differ. Equations 151, No. 2, 268-289 (1999). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L10 34L40 47A70 PDFBibTeX XMLCite \textit{E. Bairamov} et al., J. Differ. Equations 151, No. 2, 268--289 (1999; Zbl 0945.34067) Full Text: DOI
Krall, Allan M.; Bairamov, Elgiz; Çakar, Öner Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition. (English) Zbl 0927.34063 J. Differ. Equations 151, No. 2, 252-267 (1999). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L05 34L40 34B24 81Q05 PDFBibTeX XMLCite \textit{A. M. Krall} et al., J. Differ. Equations 151, No. 2, 252--267 (1999; Zbl 0927.34063) Full Text: DOI
Dumortier, Freddy; Li, Chengzhi; Zhang, Zifen Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. (English) Zbl 0883.34035 J. Differ. Equations 139, No. 1, 146-193 (1997). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 PDFBibTeX XMLCite \textit{F. Dumortier} et al., J. Differ. Equations 139, No. 1, 146--193 (1997; Zbl 0883.34035) Full Text: DOI Link
Żołądek, Henryk The problem of center for resonant singular points of polynomial vector fields. (English) Zbl 0885.34034 J. Differ. Equations 137, No. 1, 94-118 (1997). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 PDFBibTeX XMLCite \textit{H. Żołądek}, J. Differ. Equations 137, No. 1, 94--118 (1997; Zbl 0885.34034) Full Text: DOI
Iliev, Iliya D. The cyclicity of the period annulus of the quadratic Hamiltonian triangle. (English) Zbl 0853.58084 J. Differ. Equations 128, No. 1, 309-326 (1996). Reviewer: G.Osipenko (St.Peterburg) MSC: 37G15 34C05 37E99 37G99 PDFBibTeX XMLCite \textit{I. D. Iliev}, J. Differ. Equations 128, No. 1, 309--326 (1996; Zbl 0853.58084) Full Text: DOI
Shafer, Douglas S.; Zegeling, André Bifurcation of limit cycles from quadratic centers. (English) Zbl 0833.34029 J. Differ. Equations 122, No. 1, 48-70 (1995). Reviewer: Yu.V.Rogovchenko (Firenze) MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{D. S. Shafer} and \textit{A. Zegeling}, J. Differ. Equations 122, No. 1, 48--70 (1995; Zbl 0833.34029) Full Text: DOI
Kinyon, Michael K.; Sagle, Arthur A. Quadratic dynamical systems and algebras. (English) Zbl 0830.17001 J. Differ. Equations 117, No. 1, 67-126 (1995). Reviewer: S.Walcher (München) MSC: 17A01 17-02 34-02 34A05 34A30 34C05 34C20 37-XX 39A10 PDFBibTeX XMLCite \textit{M. K. Kinyon} and \textit{A. A. Sagle}, J. Differ. Equations 117, No. 1, 67--126 (1995; Zbl 0830.17001) Full Text: DOI
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen Weak focus, limit cycles, and bifurcations for bounded quadratic systems. (English) Zbl 0823.34043 J. Differ. Equations 115, No. 1, 193-223 (1995). Reviewer: C.Mira (Toulouse) MSC: 34C23 34C15 34C05 PDFBibTeX XMLCite \textit{C. Li} et al., J. Differ. Equations 115, No. 1, 193--223 (1995; Zbl 0823.34043) Full Text: DOI
van Horssen, W. T.; Kooij, R. E. Bifurcation of limit cycles in a particular class of quadratic systems with two centres. (English) Zbl 0814.34024 J. Differ. Equations 114, No. 2, 538-569 (1994). Reviewer: C.Chicone (Columbia) MSC: 34C23 34C05 PDFBibTeX XMLCite \textit{W. T. van Horssen} and \textit{R. E. Kooij}, J. Differ. Equations 114, No. 2, 538--569 (1994; Zbl 0814.34024) Full Text: DOI
Horozov, E.; Iliev, I. D. On saddle-loop bifurcations of limit cycles in perturbations of quadratic Hamiltonian systems. (English) Zbl 0808.34041 J. Differ. Equations 113, No. 1, 84-105 (1994). Reviewer: M.A.Teixeira (Campinas) MSC: 34C23 34C05 37J99 37G15 PDFBibTeX XMLCite \textit{E. Horozov} and \textit{I. D. Iliev}, J. Differ. Equations 113, No. 1, 84--105 (1994; Zbl 0808.34041) Full Text: DOI
Zegeling, André Separatrix cycles and mutiple limit cycles in a class of quadratic systems. (English) Zbl 0809.34045 J. Differ. Equations 113, No. 2, 355-380 (1994). Reviewer: C.Chicone (Columbia) MSC: 34C05 34C37 37G15 PDFBibTeX XMLCite \textit{A. Zegeling}, J. Differ. Equations 113, No. 2, 355--380 (1994; Zbl 0809.34045) Full Text: DOI
Dumortier, F.; Roussarie, R.; Rousseau, C. Hilbert’s 16th problem for quadratic vector fields. (English) Zbl 0802.34028 J. Differ. Equations 110, No. 1, 86-133 (1994). Reviewer: C.Chicone (Columbia) MSC: 34C05 34C23 34C25 PDFBibTeX XMLCite \textit{F. Dumortier} et al., J. Differ. Equations 110, No. 1, 86--133 (1994; Zbl 0802.34028) Full Text: DOI
Żołądek, Henryk Quadratic systems with center and their perturbations. (English) Zbl 0797.34044 J. Differ. Equations 109, No. 2, 223-273 (1994). Reviewer: Ye Yanqian (Nanjing) MSC: 34C23 34C05 34D10 PDFBibTeX XMLCite \textit{H. Żołądek}, J. Differ. Equations 109, No. 2, 223--273 (1994; Zbl 0797.34044) Full Text: DOI
Artés, Joan C.; Llibre, Jaume Quadratic Hamiltonian vector fields. (English) Zbl 0791.34048 J. Differ. Equations 107, No. 1, 80-95 (1994). Reviewer: J.Andres (Olomouc) MSC: 34D30 34C05 37J99 PDFBibTeX XMLCite \textit{J. C. Artés} and \textit{J. Llibre}, J. Differ. Equations 107, No. 1, 80--95 (1994; Zbl 0791.34048) Full Text: DOI
Coppel, W. A. A new class of quadratic systems. (English) Zbl 0733.58037 J. Differ. Equations 92, No. 2, 360-372 (1991). Reviewer: C.Chicone (Columbia) MSC: 37G15 34C05 PDFBibTeX XMLCite \textit{W. A. Coppel}, J. Differ. Equations 92, No. 2, 360--372 (1991; Zbl 0733.58037) Full Text: DOI
Chicone, Carmen; Jacobs, Marc Bifurcation of limit cycles from quadratic isochrones. (English) Zbl 0733.34045 J. Differ. Equations 91, No. 2, 268-326 (1991). Reviewer: J.Hainzl (Kassel) MSC: 34C23 34C05 34C15 34C25 PDFBibTeX XMLCite \textit{C. Chicone} and \textit{M. Jacobs}, J. Differ. Equations 91, No. 2, 268--326 (1991; Zbl 0733.34045) Full Text: DOI
Guíñez, Víctor Nonorientable polynomial foliations on the plane. (English) Zbl 0722.57011 J. Differ. Equations 87, No. 2, 391-411 (1990). Reviewer: A.Verona (Los Angeles) MSC: 57R30 37C85 PDFBibTeX XMLCite \textit{V. Guíñez}, J. Differ. Equations 87, No. 2, 391--411 (1990; Zbl 0722.57011) Full Text: DOI
de Jager, P. Phase portraits for quadratic systems with a higher order singularity with two zero eigenvalues. (English) Zbl 0715.34057 J. Differ. Equations 87, No. 1, 169-204 (1990). Reviewer: Yu.V.Rogovchenko MSC: 34C05 PDFBibTeX XMLCite \textit{P. de Jager}, J. Differ. Equations 87, No. 1, 169--204 (1990; Zbl 0715.34057) Full Text: DOI
Ito, Kazufumi; Powers, Robert K. Chandrasekhar equations for infinite dimensional systems. II: Unbounded input and output case. (English) Zbl 0652.49006 J. Differ. Equations 75, No. 2, 371-402 (1988). Reviewer: H.Zwart MSC: 49J27 47A62 93C25 34H05 49K27 46C99 47D03 93C05 PDFBibTeX XMLCite \textit{K. Ito} and \textit{R. K. Powers}, J. Differ. Equations 75, No. 2, 371--402 (1988; Zbl 0652.49006) Full Text: DOI
Rousseau, Christiane Example of a quadratic system with two cycles appearing in a homoclinic loop bifurcation. (English) Zbl 0626.34021 J. Differ. Equations 66, 140-150 (1987). Reviewer: R.Lee MSC: 34C05 PDFBibTeX XMLCite \textit{C. Rousseau}, J. Differ. Equations 66, 140--150 (1987; Zbl 0626.34021) Full Text: DOI
Coll, B.; Gasull, A.; Llibre, J. Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. (English) Zbl 0616.34028 J. Differ. Equations 67, 372-399 (1987). Reviewer: Li Chengzhi MSC: 34C05 PDFBibTeX XMLCite \textit{B. Coll} et al., J. Differ. Equations 67, 372--399 (1987; Zbl 0616.34028) Full Text: DOI
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
Coppel, W. A. A simple class of quadratic systems. (English) Zbl 0603.34023 J. Differ. Equations 64, 275-282 (1986). MSC: 34C05 37G15 PDFBibTeX XMLCite \textit{W. A. Coppel}, J. Differ. Equations 64, 275--282 (1986; Zbl 0603.34023) Full Text: DOI
Francoise, J. P.; Pugh, C. C. Keeping track of limit cycles. (English) Zbl 0602.34019 J. Differ. Equations 65, 139-157 (1986). MSC: 34C05 34C25 37G99 37G15 32B20 PDFBibTeX XMLCite \textit{J. P. Francoise} and \textit{C. C. Pugh}, J. Differ. Equations 65, 139--157 (1986; Zbl 0602.34019) Full Text: DOI
Da Prato, G.; Lasiecka, I.; Triggiani, R. A direct study of the Riccati equation arising in hyperbolic boundary control problems. (English) Zbl 0601.49003 J. Differ. Equations 64, 26-47 (1986). Reviewer: D.Tiba MSC: 49J20 45G10 35L20 35B37 35L50 93C20 PDFBibTeX XMLCite \textit{G. Da Prato} et al., J. Differ. Equations 64, 26--47 (1986; Zbl 0601.49003) Full Text: DOI
Koditschek, D. E.; Narendra, K. S. Limit cycles of planar quadratic differential equations. (English) Zbl 0498.34018 J. Differ. Equations 54, 181-195 (1984). MSC: 34C05 PDFBibTeX XMLCite \textit{D. E. Koditschek} and \textit{K. S. Narendra}, J. Differ. Equations 54, 181--195 (1984; Zbl 0498.34018) Full Text: DOI Link
Perko, Lawrence M.; Shue, Shihlung Existence, uniqueness, and nonexistence of limit cycles for a class of quadratic systems in the plane. (English) Zbl 0493.34025 J. Differ. Equations 53, 146-171 (1984). MSC: 34C05 37G15 PDFBibTeX XMLCite \textit{L. M. Perko} and \textit{S. Shue}, J. Differ. Equations 53, 146--171 (1984; Zbl 0493.34025) Full Text: DOI
Ambrosetti, Antonio; Mancini, Giovanni On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories. (English) Zbl 0492.70018 J. Differ. Equations 43, 249-256 (1982). MSC: 70H05 34C25 37J99 PDFBibTeX XMLCite \textit{A. Ambrosetti} and \textit{G. Mancini}, J. Differ. Equations 43, 249--256 (1982; Zbl 0492.70018) Full Text: DOI
Ye, Yanqian Some problems in the qualitative theory of ordinary differential equations. (English) Zbl 0461.34023 J. Differ. Equations 46, 153-164 (1982). MSC: 34C05 34-02 34C25 PDFBibTeX XMLCite \textit{Y. Ye}, J. Differ. Equations 46, 153--164 (1982; Zbl 0461.34023) Full Text: DOI
Ogawa, Hajimu Energy decay for differential inequalities in a Hilbert space with applications to ultrahyperbolic equations. (English) Zbl 0466.35011 J. Differ. Equations 38, 393-412 (1980). MSC: 35B40 35R45 35L99 35R20 35L60 PDFBibTeX XMLCite \textit{H. Ogawa}, J. Differ. Equations 38, 393--412 (1980; Zbl 0466.35011) Full Text: DOI
Lewowicz, Jorge Lyapunov functions and topological stability. (English) Zbl 0418.58012 J. Differ. Equations 38, 192-209 (1980). MSC: 37C75 37D99 34D20 PDFBibTeX XMLCite \textit{J. Lewowicz}, J. Differ. Equations 38, 192--209 (1980; Zbl 0418.58012) Full Text: DOI
Brunovsky, Pavol Regular synthesis for the linear-quadratic optimal control problem with linear control constraints. (English) Zbl 0417.49014 J. Differ. Equations 38, 344-360 (1980). MSC: 49J30 49J15 PDFBibTeX XMLCite \textit{P. Brunovsky}, J. Differ. Equations 38, 344--360 (1980; Zbl 0417.49014) Full Text: DOI
Sverdlove, Ronald Vector fields defined by complex functions. (English) Zbl 0431.34034 J. Differ. Equations 34, 427-439 (1979). MSC: 37-XX 34C05 34C15 30G20 34M99 PDFBibTeX XMLCite \textit{R. Sverdlove}, J. Differ. Equations 34, 427--439 (1979; Zbl 0431.34034) Full Text: DOI
Date, Tsutomu Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems. (English) Zbl 0378.34014 J. Differ. Equations 32, 311-334 (1979). MSC: 34A99 PDFBibTeX XMLCite \textit{T. Date}, J. Differ. Equations 32, 311--334 (1979; Zbl 0378.34014) Full Text: DOI