Yang, Jihua; Zhang, Erli On the number of limit cycles for a class of piecewise smooth Hamiltonian systems with discontinuous perturbations. (English) Zbl 07157575 Nonlinear Anal., Real World Appl. 52, Article ID 103046, 10 p. (2020). MSC: 34A36 34E10 34C05 37J40 34C07 PDF BibTeX XML Cite \textit{J. Yang} and \textit{E. Zhang}, Nonlinear Anal., Real World Appl. 52, Article ID 103046, 10 p. (2020; Zbl 07157575) Full Text: DOI
Yang, Jihua; Sui, Shiyou; Zhao, Liqin On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait “butterfly”. (English) Zbl 1431.34043 Qual. Theory Dyn. Syst. 18, No. 3, 947-967 (2019). MSC: 34C08 34E10 37J40 34C07 34C23 PDF BibTeX XML Cite \textit{J. Yang} et al., Qual. Theory Dyn. Syst. 18, No. 3, 947--967 (2019; Zbl 1431.34043) Full Text: DOI
Yang, Jihua On the number of zeros of abelian integral for a class of cubic Hamiltonian systems. (English) Zbl 1440.34035 Dyn. Syst. 34, No. 4, 561-583 (2019). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 37J40 34C07 PDF BibTeX XML Cite \textit{J. Yang}, Dyn. Syst. 34, No. 4, 561--583 (2019; Zbl 1440.34035) Full Text: DOI
Dai, Jialiang; Fan, Engui Whitham hierarchy and generalized Picard-Fuchs operators in the \(\mathcal{N}=2\) susy Yang-Mills theory for classical gauge groups. (English. Russian original) Zbl 1419.81031 Theor. Math. Phys. 198, No. 3, 317-330 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 365-380 (2019). MSC: 81T13 81T60 37K10 14H52 81T17 57R57 14D21 PDF BibTeX XML Cite \textit{J. Dai} and \textit{E. Fan}, Theor. Math. Phys. 198, No. 3, 317--330 (2019; Zbl 1419.81031); translation from Teor. Mat. Fiz. 198, No. 3, 365--380 (2019) Full Text: DOI
Yang, Jihua On the algebraic structure and the number of zeros of abelian integral for a class of Hamiltonians with degenerate singularities. (English) Zbl 1447.34034 Bull. Braz. Math. Soc. (N.S.) 49, No. 4, 893-913 (2018). Reviewer: Caidi Zhao (Wenzhou) MSC: 34C08 37J40 PDF BibTeX XML Cite \textit{J. Yang}, Bull. Braz. Math. Soc. (N.S.) 49, No. 4, 893--913 (2018; Zbl 1447.34034) Full Text: DOI
Huang, An; Lian, Bong; Yau, Shing-Tung; Yu, Chenglong Period integrals and tautological systems. (English) Zbl 1410.32008 Cao, Huai-Dong (ed.) et al., Celebrating the 50th anniversary of the Journal of Differential Geometry. Lectures given at the Geometry and Topology Conference at Harvard University, Cambridge, MA, USA, April 28 – May 2, 2017. Somerville, MA: International Press. Surv. Differ. Geom. 22, 275-289 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 32G20 14D07 14D05 32Q25 34M99 PDF BibTeX XML Cite \textit{A. Huang} et al., Surv. Differ. Geom. 22, 275--289 (2018; Zbl 1410.32008) Full Text: DOI
Gavrilov, Lubomir Irreducibility of the Picard-Fuchs equation related to the Lotka-Volterra polynomial \(x^2y^2(1-x-y)\). (English) Zbl 1403.37056 J. Dyn. Control Syst. 24, No. 3, 425-438 (2018). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 37F75 34C05 37J05 37J35 PDF BibTeX XML Cite \textit{L. Gavrilov}, J. Dyn. Control Syst. 24, No. 3, 425--438 (2018; Zbl 1403.37056) Full Text: DOI arXiv
Zhang, Erli; Xing, Yuqing Limit cycle bifurcations for a kind of Hamilton systems of degree three. (Chinese. English summary) Zbl 1399.37033 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 5, 825-833 (2017). MSC: 37J20 37G15 34C07 PDF BibTeX XML Cite \textit{E. Zhang} and \textit{Y. Xing}, Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 5, 825--833 (2017; Zbl 1399.37033)
Yang, Jihua; Shang, Huahui On the number of zeros of abelian integrals for a kind of Hamiltonian systems of degree three. (Chinese. English summary) Zbl 1389.34104 J. Nat. Sci. Heilongjiang Univ. 34, No. 3, 291-296 (2017). MSC: 34C08 34C07 37J40 34E10 PDF BibTeX XML Cite \textit{J. Yang} and \textit{H. Shang}, J. Nat. Sci. Heilongjiang Univ. 34, No. 3, 291--296 (2017; Zbl 1389.34104) Full Text: DOI
Yang, Jihua; Liu, Mei; He, Zhicheng The number of zeros of abelian integrals for a kind of quartic Hamiltonians with a nilpotent center. (Chinese. English summary) Zbl 1374.34095 Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 5, 937-945 (2016). MSC: 34C08 34C05 37J40 PDF BibTeX XML Cite \textit{J. Yang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 5, 937--945 (2016; Zbl 1374.34095)
Huang, An; Lian, Bong H.; Zhu, Xinwen Period integrals and the Riemann-Hilbert correspondence. (English) Zbl 1387.14042 J. Differ. Geom. 104, No. 2, 325-369 (2016). Reviewer: Ruifang Song (Mountain View) MSC: 14D05 14C30 14D07 53D37 PDF BibTeX XML Cite \textit{A. Huang} et al., J. Differ. Geom. 104, No. 2, 325--369 (2016; Zbl 1387.14042) Full Text: DOI Link arXiv
Lairez, Pierre Computing periods of rational integrals. (English) Zbl 1337.68301 Math. Comput. 85, No. 300, 1719-1752 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 68W30 14K20 14F40 33F10 34M03 PDF BibTeX XML Cite \textit{P. Lairez}, Math. Comput. 85, No. 300, 1719--1752 (2016; Zbl 1337.68301) Full Text: DOI arXiv
Fedorov, Yuri; Pantazi, Chara The Picard-Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system. (English) Zbl 1298.14037 J. Math. Phys. 55, No. 3, 032703, 8 p. (2014). Reviewer: Bujar Fejzullahu (Presevo) MSC: 14H70 34M03 34M56 37J35 PDF BibTeX XML Cite \textit{Y. Fedorov} and \textit{C. Pantazi}, J. Math. Phys. 55, No. 3, 032703, 8 p. (2014; Zbl 1298.14037) Full Text: DOI arXiv
Gährs, Swantje Picard-Fuchs equations of special one-parameter families of invertible polynomials. (English) Zbl 1302.14034 Laza, Radu (ed.) et al., Arithmetic and geometry of \(K3\) surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 285-310 (2013). MSC: 14J33 32G20 32S40 34M35 14J32 PDF BibTeX XML Cite \textit{S. Gährs}, Fields Inst. Commun. 67, 285--310 (2013; Zbl 1302.14034) Full Text: DOI arXiv
Papadopoulos, George; Dullin, Holger R. Semi-global symplectic invariants of the Euler top. (English) Zbl 1334.37055 J. Geom. Mech. 5, No. 2, 215-232 (2013). MSC: 37J15 70E15 70E40 70H06 37J35 34M45 PDF BibTeX XML Cite \textit{G. Papadopoulos} and \textit{H. R. Dullin}, J. Geom. Mech. 5, No. 2, 215--232 (2013; Zbl 1334.37055) Full Text: DOI arXiv
Lian, Bong H.; Song, Ruifang; Yau, Shing-Tung Periodic integrals and tautological systems. (English) Zbl 1272.14033 J. Eur. Math. Soc. (JEMS) 15, No. 4, 1457-1483 (2013). Reviewer: Zbigniew Hajto (Kraków) MSC: 14J32 14M15 14J45 34M55 14D05 33C80 PDF BibTeX XML Cite \textit{B. H. Lian} et al., J. Eur. Math. Soc. (JEMS) 15, No. 4, 1457--1483 (2013; Zbl 1272.14033) Full Text: DOI arXiv
Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. (English) Zbl 1267.82021 J. Phys. A, Math. Theor. 46, No. 18, Article ID 185202, 44 p. (2013). MSC: 82B20 34M55 PDF BibTeX XML Cite \textit{A. Bostan} et al., J. Phys. A, Math. Theor. 46, No. 18, Article ID 185202, 44 p. (2013; Zbl 1267.82021) Full Text: DOI arXiv
Boukraa, S.; Hassani, S.; Maillard, J.-M. Holonomic functions of several complex variables and singularities of anisotropic Ising \(n\)-fold integrals. (English) Zbl 1257.82017 J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012). MSC: 82B20 34M55 47E05 32G34 14J32 35Q82 14K30 82B26 PDF BibTeX XML Cite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012; Zbl 1257.82017) Full Text: DOI arXiv
Bobieński, Marcin; Gavrilov, Lubomir On the reduction of the degree of linear differential operators. (English) Zbl 1232.34115 Nonlinearity 24, No. 2, 373-388 (2011). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34M03 34M35 34C08 47E05 34L40 PDF BibTeX XML Cite \textit{M. Bobieński} and \textit{L. Gavrilov}, Nonlinearity 24, No. 2, 373--388 (2011; Zbl 1232.34115) Full Text: DOI arXiv
Binyamini, Gal; Novikov, Dmitry; Yakovenko, Sergei On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem. (English) Zbl 1207.34039 Invent. Math. 181, No. 2, 227-289 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C08 34C07 34M10 34M60 14Q20 32S40 PDF BibTeX XML Cite \textit{G. Binyamini} et al., Invent. Math. 181, No. 2, 227--289 (2010; Zbl 1207.34039) Full Text: DOI arXiv
Gao, Bo; He, Zhirong Limit cycles of a class of planar system with \(1:2\) resonance for linear cusp. (Chinese. English summary) Zbl 1212.34101 J. Sichuan Univ., Nat. Sci. Ed. 46, No. 5, 1224-1228 (2009). MSC: 34C05 34C07 37G10 37G15 34C23 34C37 34E10 PDF BibTeX XML Cite \textit{B. Gao} and \textit{Z. He}, J. Sichuan Univ., Nat. Sci. Ed. 46, No. 5, 1224--1228 (2009; Zbl 1212.34101) Full Text: DOI
Li, Ming The period function for quadratic integrable systems with quartic orbits. (Chinese. English summary) Zbl 1212.34121 J. Math. Study 42, No. 3, 329-334 (2009). MSC: 34C25 92D25 PDF BibTeX XML Cite \textit{M. Li}, J. Math. Study 42, No. 3, 329--334 (2009; Zbl 1212.34121)
Zhou, Xin; Li, Cuiping; Zhang, Yan Estimation of the number of zeros of Abelian integral for a class of quartic Hamiltonians. (Chinese. English summary) Zbl 1199.34166 J. Syst. Sci. Math. Sci. 29, No. 3, 323-330 (2009). Reviewer: Zaihong Wang (Beijing) MSC: 34C08 34C07 PDF BibTeX XML Cite \textit{X. Zhou} et al., J. Syst. Sci. Math. Sci. 29, No. 3, 323--330 (2009; Zbl 1199.34166)
Gavrilov, Lubomir; Iliev, Iliya D. Quadratic perturbations of quadratic codimension-four centers. (English) Zbl 1177.34046 J. Math. Anal. Appl. 357, No. 1, 69-76 (2009). Reviewer: Alexey Remizov (Trieste) MSC: 34C07 34C05 34C08 34C23 PDF BibTeX XML Cite \textit{L. Gavrilov} and \textit{I. D. Iliev}, J. Math. Anal. Appl. 357, No. 1, 69--76 (2009; Zbl 1177.34046) Full Text: DOI arXiv
Li, Ming The monotonicity of period function for a class of quadratic reversible systems. (Chinese. English summary) Zbl 1199.34198 Math. Pract. Theory 38, No. 15, 225-230 (2008). MSC: 34C25 PDF BibTeX XML Cite \textit{M. Li}, Math. Pract. Theory 38, No. 15, 225--230 (2008; Zbl 1199.34198)
Song, Yan The Poincaré bifurcation of cubic non-Hamiltonian integrable systems with double centers. (Chinese. English summary) Zbl 1174.34394 Chin. J. Eng. Math. 25, No. 4, 679-684 (2008). MSC: 34C23 34C08 34C05 37G10 PDF BibTeX XML Cite \textit{Y. Song}, Chin. J. Eng. Math. 25, No. 4, 679--684 (2008; Zbl 1174.34394)
Enolski, Victor; Richter, Peter Periods of hyperelliptic integrals expressed in terms of \(\theta \)-constants by means of Thomae formulae. (English) Zbl 1153.33308 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 1005-1024 (2008). MSC: 33E05 14H70 37K20 PDF BibTeX XML Cite \textit{V. Enolski} and \textit{P. Richter}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 1005--1024 (2008; Zbl 1153.33308) Full Text: DOI
Zhou, Xin; Li, Cuiping Estimate of the number of zeros of abelian integrals for a kind of quartic Hamiltonians with two centers. (English) Zbl 1156.37013 Appl. Math. Comput. 204, No. 1, 202-209 (2008). Reviewer: Christian Pötzsche (München) MSC: 37J20 37G15 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{C. Li}, Appl. Math. Comput. 204, No. 1, 202--209 (2008; Zbl 1156.37013) Full Text: DOI
Aleksandrov, A. G.; Kuznetsov, A. N. Regular singular holonomic systems of differential equations with given integrals. (English) Zbl 1118.35016 J. Appl. Funct. Anal. 2, No. 1, 21-56 (2007). MSC: 35N10 35F05 32S30 32S40 35A20 PDF BibTeX XML Cite \textit{A. G. Aleksandrov} and \textit{A. N. Kuznetsov}, J. Appl. Funct. Anal. 2, No. 1, 21--56 (2007; Zbl 1118.35016)
Żołądek, Henryk The monodromy group. (English) Zbl 1103.32015 Monografie Matematyczne. Instytut Matematyczny PAN (New Series) 67. Basel: Birkhäuser (ISBN 3-7643-7535-3/hbk). xi, 580 p. (2006). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S40 58K10 14D05 32-02 58-02 14-02 32G20 32G34 32S30 32S35 32S55 58K05 58K45 58K65 12H05 PDF BibTeX XML Cite \textit{H. Żołądek}, The monodromy group. Basel: Birkhäuser (2006; Zbl 1103.32015)
Douai, Antoine Picard-Fuchs equations and Gauss-Manin systems with a view towards the Riemann-Hilbert problem. (English) Zbl 1096.32015 J. Dyn. Control Syst. 11, No. 4, 495-526 (2005). Reviewer: Valentina Golubeva (Moskva) MSC: 32S40 34C20 32G20 PDF BibTeX XML Cite \textit{A. Douai}, J. Dyn. Control Syst. 11, No. 4, 495--526 (2005; Zbl 1096.32015) Full Text: DOI
Yakovenko, Sergei Quantitative theory of ordinary differential equations and the tangential Hilbert 16th problem. (English) Zbl 1104.34025 Schlomiuk, Dana et al., On finiteness in differential equations and Diophantine geometry. Edited by Dana Schlomiuk. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2805-3/hbk). CRM Monograph Series 24, 41-109 (2005). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C07 34-02 37C27 34M35 34M50 37G15 30C15 PDF BibTeX XML Cite \textit{S. Yakovenko}, CRM Monogr. Ser. 24, 41--109 (2005; Zbl 1104.34025)
Prykarpatsky, Y. A.; Samoilenko, A. M.; Blackmore, D. L.; Prykarpatsky, A. K. Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: The modern differential-geometric aspects. (English) Zbl 1076.37047 Miskolc Math. Notes 6, No. 1, 65-103 (2005). MSC: 37J35 70G55 70H06 14H70 PDF BibTeX XML Cite \textit{Y. A. Prykarpatsky} et al., Miskolc Math. Notes 6, No. 1, 65--103 (2005; Zbl 1076.37047)
Zhao, Yulin On the number of zeros of Abelian integrals for a polynomial Hamiltonian irregular at infinity. (English) Zbl 1067.34034 J. Differ. Equations 209, No. 2, 329-364 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34M50 37G15 34C08 PDF BibTeX XML Cite \textit{Y. Zhao}, J. Differ. Equations 209, No. 2, 329--364 (2005; Zbl 1067.34034) Full Text: DOI
Song, Yan Estimation on the number of zeros of Abelian integrals of a planar Hamiltonian system. (Chinese. English summary) Zbl 1063.34027 J. Math. Res. Expo. 23, No. 4, 651-657 (2003). MSC: 34C08 37G15 PDF BibTeX XML Cite \textit{Y. Song}, J. Math. Res. Expo. 23, No. 4, 651--657 (2003; Zbl 1063.34027)
Prykarpatsky, Anatoliy K.; Taneri, Ufuk; Samoylenko, Valeriy On Picard-Fuchs type equations related to integrable Hamiltonian systems. (English) Zbl 1001.37049 Appl. Math. E-Notes 1, 130-138 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37J35 70H06 35J20 35Q55 37B99 70H03 PDF BibTeX XML Cite \textit{A. K. Prykarpatsky} et al., Appl. Math. E-Notes 1, 130--138 (2001; Zbl 1001.37049) Full Text: EMIS EuDML
Novikov, D.; Yakovenko, S. Redundant Picard-Fuchs system for abelian integrals. (English) Zbl 1011.37042 J. Differ. Equations 177, No. 2, 267-306 (2001). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 37K20 14H70 34C07 34C08 PDF BibTeX XML Cite \textit{D. Novikov} and \textit{S. Yakovenko}, J. Differ. Equations 177, No. 2, 267--306 (2001; Zbl 1011.37042) Full Text: DOI arXiv
Lichardová, Hana The period of a whirling pendulum. (English) Zbl 0977.37027 Math. Bohem. 126, No. 3, 593-606 (2001). MSC: 37G15 34C05 PDF BibTeX XML Cite \textit{H. Lichardová}, Math. Bohem. 126, No. 3, 593--606 (2001; Zbl 0977.37027) Full Text: EuDML
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger Actions of the Neumann systems via Picard-Fuchs equations. (English) Zbl 1001.70013 Physica D 155, No. 3-4, 159-183 (2001). MSC: 70H06 37N05 PDF BibTeX XML Cite \textit{H. R. Dullin} et al., Physica D 155, No. 3--4, 159--183 (2001; Zbl 1001.70013) Full Text: DOI
Alexandrov, A. G. Fuchsian systems of differential equations with logarithmic singularities. (English) Zbl 1037.32026 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1285-1299 (2000). MSC: 32S30 32S40 33C20 14D05 32S25 14F40 PDF BibTeX XML Cite \textit{A. G. Alexandrov}, in: Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16--21, 1999. Dordrecht: Kluwer Academic Publishers. 1285--1299 (2000; Zbl 1037.32026)
Ohta, Yűji Instanton correction of prepotential in Ruijsenaars model associated with \(N=2\) SU(2) Seiberg-Witten theory. (English) Zbl 0972.81180 J. Math. Phys. 41, No. 7, 4541-4550 (2000). MSC: 81T60 81T13 14H70 PDF BibTeX XML Cite \textit{Y. Ohta}, J. Math. Phys. 41, No. 7, 4541--4550 (2000; Zbl 0972.81180) Full Text: DOI arXiv
Harnad, J. Picard-Fuchs equations, Hauptmoduls and integrable systems. (English) Zbl 0973.34075 Braden, H. W. (ed.) et al., Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137-151 (2000). Reviewer: V.P.Kostov (Nice) MSC: 34M35 34M55 81T80 45E10 33E17 30F35 PDF BibTeX XML Cite \textit{J. Harnad}, in: Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137--151 (2000; Zbl 0973.34075)
Carroll, Robert Various aspects of Whitham times. (English) Zbl 0981.81062 Acta Appl. Math. 60, No. 3, 225-316 (2000). MSC: 81T30 81T45 14H60 14H70 81T60 PDF BibTeX XML Cite \textit{R. Carroll}, Acta Appl. Math. 60, No. 3, 225--316 (2000; Zbl 0981.81062) Full Text: DOI
Ohta, Yűji Picard-Fuchs ordinary differential systems in \(N=2\) supersymmetric Yang-Mills theories. (English) Zbl 0986.81101 J. Math. Phys. 40, No. 6, 3211-3226 (1999). MSC: 81T60 34C60 81V05 81T13 PDF BibTeX XML Cite \textit{Y. Ohta}, J. Math. Phys. 40, No. 6, 3211--3226 (1999; Zbl 0986.81101) Full Text: DOI arXiv
Zhao, Yulin; Zhang, Zhifen An estimate of the number of zeros of Abelian integrals for cubic vector fields with cuspidal loop. (English) Zbl 0967.34027 Ann. Differ. Equations 14, No. 2, 434-445 (1998). MSC: 34C08 14K20 34C05 34C23 37G15 PDF BibTeX XML Cite \textit{Y. Zhao} and \textit{Z. Zhang}, Ann. Differ. Equations 14, No. 2, 434--445 (1998; Zbl 0967.34027)
Dullin, H. R.; Richter, P. H.; Veselov, A. P. Action variables of the Kovalevskaya top. (English) Zbl 0952.37044 Regul. Chaotic Dyn. 3, No. 3, 18-31 (1998). Reviewer: Samir Musayev (Baku) MSC: 37K15 37K25 70H05 PDF BibTeX XML Cite \textit{H. R. Dullin} et al., Regul. Chaotic Dyn. 3, No. 3, 18--31 (1998; Zbl 0952.37044) Full Text: DOI
Horozov, Emil; Iliev, Iliya D. Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. (English) Zbl 0921.58044 Nonlinearity 11, No. 6, 1521-1537 (1998). Reviewer: E.Ershov (St.Peterburg) MSC: 37G15 37J20 37K50 34C05 PDF BibTeX XML Cite \textit{E. Horozov} and \textit{I. D. Iliev}, Nonlinearity 11, No. 6, 1521--1537 (1998; Zbl 0921.58044) Full Text: DOI
Zhang, Zhifen; Li, Chengzhi On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. (English) Zbl 0948.34020 Adv. Math., Beijing 26, No. 5, 445-460 (1997). Reviewer: Dmitry Turaev (Berlin) MSC: 34C07 37G15 34C23 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{C. Li}, Adv. Math., Beijing 26, No. 5, 445--460 (1997; Zbl 0948.34020)
Novick-Cohen, A.; Zheng, Songmu The Penrose-Fife-type equations: Counting the one-dimensional stationary solutions. (English) Zbl 0857.35055 Proc. R. Soc. Edinb., Sect. A 126, No. 3, 483-504 (1996). MSC: 35K50 35K55 PDF BibTeX XML Cite \textit{A. Novick-Cohen} and \textit{S. Zheng}, Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 3, 483--504 (1996; Zbl 0857.35055) Full Text: DOI
Christov, Ognyan; Dragnev, Dragomir Perturbations of systems describing the motion of a particle in central fields. (English) Zbl 0833.70004 Serdica Math. J. 21, No. 2, 91-108 (1995). Reviewer: V.Marinca (Timişoara) MSC: 70H03 70H05 37J35 37K10 34D10 70A05 PDF BibTeX XML Cite \textit{O. Christov} and \textit{D. Dragnev}, Serdica Math. J. 21, No. 2, 91--108 (1995; Zbl 0833.70004) Full Text: EuDML
van Gils, S. A. An inhomogeneous Picard-Fuchs equation. (English) Zbl 0810.58033 Chossat, Pascal (ed.), Dynamics, bifurcation and symmetry. New trends and new tools. Proceedings of the NATO Advanced Research Workshop, E. B. T. G. Conference, Cargèse, France, September 3-9, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 333-341 (1994). Reviewer: Z.Denkowska (Angers) MSC: 37G15 34C05 PDF BibTeX XML Cite \textit{S. A. van Gils}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 333--341 (1994; Zbl 0810.58033)
Lee, Min Ho On the monotonicity of the quotient of certain abelian integrals. (English) Zbl 0777.34026 Int. J. Math. Math. Sci. 16, No. 1, 41-48 (1993). Reviewer: J.Schmeelk (Richmond) MSC: 34C11 34A34 14H52 14J25 PDF BibTeX XML Cite \textit{M. H. Lee}, Int. J. Math. Math. Sci. 16, No. 1, 41--48 (1993; Zbl 0777.34026) Full Text: DOI EuDML
Gavrilov, Ljubomir; Horozov, Emil Limit cycles and zeros of Abelian integrals satisfying third order Picard-Fuchs equation. (English) Zbl 0719.34048 Bifurcations of planar vector fields, Proc. Meet., Luminy/Fr. 1989, Lect. Notes Math. 1455, 160-186 (1990). Reviewer: L.Gavrilov MSC: 34C05 37G15 PDF BibTeX XML
Matveev, V. B.; Smirnov, A. O. Some comments on the solvable chiral Potts model. (English) Zbl 0715.14024 Lett. Math. Phys. 19, No. 3, 179-185 (1990). Reviewer: A.Bobenko MSC: 14H42 32G20 14D05 82B20 14K25 PDF BibTeX XML Cite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, Lett. Math. Phys. 19, No. 3, 179--185 (1990; Zbl 0715.14024) Full Text: DOI
Horozov, E. Perturbations of the spherical pendulum and Abelian integrals. (English) Zbl 0692.58031 J. Reine Angew. Math. 408, 114-135 (1990). Reviewer: E.Horozov MSC: 37J40 PDF BibTeX XML Cite \textit{E. Horozov}, J. Reine Angew. Math. 408, 114--135 (1990; Zbl 0692.58031) Full Text: DOI Crelle EuDML
Chow, Shiu-Nee; Li, Chengzhi; Wang, Duo A simple proof of the uniqueness of periodic orbits in the 1:3 resonance problem. (English) Zbl 0691.58028 Proc. Am. Math. Soc. 105, No. 4, 1025-1032 (1989). Reviewer: K.Chang MSC: 37G99 34C05 PDF BibTeX XML Cite \textit{S.-N. Chow} et al., Proc. Am. Math. Soc. 105, No. 4, 1025--1032 (1989; Zbl 0691.58028) Full Text: DOI
Francoise, J. P. Monodromy and the Kowalevskaya top. (English) Zbl 0653.58011 Singularités d’équations différentielles, Journ. Dijon/France 1985, Astérisque 150/151, 87-108 (1987). Reviewer: T.Ratiu MSC: 37J35 37K10 PDF BibTeX XML
Beukers, F. Another congruence for the Apéry numbers. (English) Zbl 0614.10011 J. Number Theory 25, 201-210 (1987). Reviewer: A.J.van der Poorten MSC: 11B37 11F33 11A07 14J30 11F11 PDF BibTeX XML Cite \textit{F. Beukers}, J. Number Theory 25, 201--210 (1987; Zbl 0614.10011) Full Text: DOI
Sanders, Jan A.; Cushman, Richard Limit cycles in the Josephson equation. (English) Zbl 0604.58041 SIAM J. Math. Anal. 17, 495-511 (1986). Reviewer: J.Kalas MSC: 37G15 34C29 37G99 34C05 PDF BibTeX XML Cite \textit{J. A. Sanders} and \textit{R. Cushman}, SIAM J. Math. Anal. 17, 495--511 (1986; Zbl 0604.58041) Full Text: DOI
Françoise, Jean-Pierre Sur les action-angles de la toupie de Kowalevski. (The action-angles of the Kowalevski top). (French) Zbl 0588.58024 C. R. Acad. Sci., Paris, Sér. I 300, 427-430 (1985). Reviewer: W.M.Oliva MSC: 37J99 PDF BibTeX XML Cite \textit{J.-P. Françoise}, C. R. Acad. Sci., Paris, Sér. I 300, 427--430 (1985; Zbl 0588.58024)
Griffiths, Phillip A. A theorem concerning the differential equations satisfied by normal functions associated to algebraic cycles. (English) Zbl 0453.14001 Am. J. Math. 101, 94-131 (1979). MSC: 14C30 14C20 14K30 14F40 14D05 30D45 32A25 PDF BibTeX XML Cite \textit{P. A. Griffiths}, Am. J. Math. 101, 94--131 (1979; Zbl 0453.14001) Full Text: DOI