Manohara, G.; Kumbinarasaiah, S. Numerical solution of some stiff systems arising in chemistry via Taylor wavelet collocation method. (English) Zbl 07796544 J. Math. Chem. 62, No. 1, 24-61 (2024). MSC: 65L05 34B16 34A12 65L10 92E99 PDFBibTeX XMLCite \textit{G. Manohara} and \textit{S. Kumbinarasaiah}, J. Math. Chem. 62, No. 1, 24--61 (2024; Zbl 07796544) Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones. (English) Zbl 1504.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34A36 34C23 34C05 34E10 37J40 34C20 34C07 34A30 PDFBibTeX XMLCite \textit{C. Pessoa} and \textit{R. Ribeiro}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022; Zbl 1504.34030) Full Text: DOI arXiv
Wu, Yusen Weak bi-center and critical period bifurcations of a \(Z_2\)-equivariant quintic system. (English) Zbl 1481.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2150117, 13 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C23 34C14 34C07 PDFBibTeX XMLCite \textit{Y. Wu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2150117, 13 p. (2021; Zbl 1481.34042) Full Text: DOI arXiv
Jeremić, Bojan; Radulović, Radoslav; Obradović, Aleksandar; Šalinić, Slaviša; Dražić, Milan Brachistochronic motion of a nonholonomic variable-mass mechanical system in general force fields. (English) Zbl 1425.70041 Math. Mech. Solids 24, No. 1, 281-298 (2019). MSC: 70P05 70F25 70Q05 PDFBibTeX XMLCite \textit{B. Jeremić} et al., Math. Mech. Solids 24, No. 1, 281--298 (2019; Zbl 1425.70041) Full Text: DOI
Hauer, Michael; Jüttler, Bert; Schicho, Josef Projective and affine symmetries and equivalences of rational and polynomial surfaces. (English) Zbl 1423.14225 J. Comput. Appl. Math. 349, 424-437 (2019). Reviewer: Franz Winkler (Linz) MSC: 14J26 14E05 PDFBibTeX XMLCite \textit{M. Hauer} et al., J. Comput. Appl. Math. 349, 424--437 (2019; Zbl 1423.14225) Full Text: DOI
Xiong, Feng; Huang, Wentao The lower bounds of limit cycles for three classes of Liénard systems. (Chinese. English summary) Zbl 1424.34117 Acta Sci. Nat. Univ. Sunyatseni 57, No. 6, 154-161 (2018). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{F. Xiong} and \textit{W. Huang}, Acta Sci. Nat. Univ. Sunyatseni 57, No. 6, 154--161 (2018; Zbl 1424.34117) Full Text: DOI
de Freitas, Bruno R.; Llibre, Jaume; Medrado, Joao C. Limit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\). (English) Zbl 1390.34083 J. Comput. Appl. Math. 338, 311-323 (2018). Reviewer: Anthony D. Osborne (Keele) MSC: 34C05 34C07 37G15 34A36 34C29 PDFBibTeX XMLCite \textit{B. R. de Freitas} et al., J. Comput. Appl. Math. 338, 311--323 (2018; Zbl 1390.34083) Full Text: DOI
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor Uniform determinantal representations. (English) Zbl 1387.13062 SIAM J. Appl. Algebra Geom. 1, No. 1, 415-441 (2017). Reviewer: Emanuele Ventura (College Station) MSC: 13P15 65H04 65F15 65F50 PDFBibTeX XMLCite \textit{A. Boralevi} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 415--441 (2017; Zbl 1387.13062) Full Text: DOI arXiv
Bravo, José Luis; Fernández, Manuel; Tineo, Antonio Equilibria in some families of Kolmogorov systems. (English) Zbl 1354.34059 Nonlinear Anal., Real World Appl. 34, 250-263 (2017). MSC: 34C05 34D20 34D23 PDFBibTeX XMLCite \textit{J. L. Bravo} et al., Nonlinear Anal., Real World Appl. 34, 250--263 (2017; Zbl 1354.34059) Full Text: DOI
Wu, Daiqin; Huang, Wentao; Wu, Yanlan Bifurcation of limit cycles for a class of quartic Kolmogorov system. (Chinese. English summary) Zbl 1363.34108 J. Henan Univ. Sci. Technol., Nat. Sci. 37, No. 3, 82-86 (2016). MSC: 34C23 92D25 34C05 34C07 PDFBibTeX XMLCite \textit{D. Wu} et al., J. Henan Univ. Sci. Technol., Nat. Sci. 37, No. 3, 82--86 (2016; Zbl 1363.34108) Full Text: DOI
Elias, J.; Homs, R. On the analytic type of Artin algebras. (English) Zbl 1346.13049 Commun. Algebra 44, No. 6, 2277-2304 (2016). Reviewer: Guillaume Rond (Marseille) MSC: 13H10 13D40 13E10 PDFBibTeX XMLCite \textit{J. Elias} and \textit{R. Homs}, Commun. Algebra 44, No. 6, 2277--2304 (2016; Zbl 1346.13049) Full Text: DOI
Wu, Yusen Calculation of generalized period constants via time-angle difference for complex analytic systems with resonant ratio. (English) Zbl 1333.34048 J. Nonlinear Sci. Appl. 9, No. 4, 1766-1775 (2016). MSC: 34C05 34C07 34-04 34C25 PDFBibTeX XMLCite \textit{Y. Wu}, J. Nonlinear Sci. Appl. 9, No. 4, 1766--1775 (2016; Zbl 1333.34048) Full Text: DOI Link
Zheng, Qingyu; Li, Hongwei Center and pseudo-isochronous conditions in a quasi analytic system. (English) Zbl 1332.34064 J. Nonlinear Sci. Appl. 9, No. 1, 102-111 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C07 34C25 PDFBibTeX XMLCite \textit{Q. Zheng} and \textit{H. Li}, J. Nonlinear Sci. Appl. 9, No. 1, 102--111 (2016; Zbl 1332.34064) Full Text: DOI Link
Aybar, Ilknur Kusbeyzi; Aybar, O. Ozgur; Ferčec, Brigita; Romanovski, Valery G.; Samal, Satya Swarup; Weber, Andreas Investigation of invariants of a chemical reaction system with algorithms of computer algebra. (English) Zbl 1403.92355 MATCH Commun. Math. Comput. Chem. 74, No. 3, 465-480 (2015). MSC: 92E20 34C23 PDFBibTeX XMLCite \textit{I. K. Aybar} et al., MATCH Commun. Math. Comput. Chem. 74, No. 3, 465--480 (2015; Zbl 1403.92355)
Huang, Wenwu; Chen, Ting; Cao, Guobing The center condition and limit cycles for a class of quintic Kukles systems. (Chinese. English summary) Zbl 1349.34104 J. Nat. Sci. Heilongjiang Univ. 32, No. 3, 330-334 (2015). MSC: 34C05 34C07 34C25 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Nat. Sci. Heilongjiang Univ. 32, No. 3, 330--334 (2015; Zbl 1349.34104) Full Text: DOI
Chen, Ting; Huang, Wentao; Yang, Jian Limit cycles and local bifurcation of critical periods in a Kukles system. (English) Zbl 1347.34058 Pac. J. Appl. Math. 7, No. 1, 1-9 (2015). Reviewer: Alexander Grin (Grodno) MSC: 34C23 34C07 34C05 PDFBibTeX XMLCite \textit{T. Chen} et al., Pac. J. Appl. Math. 7, No. 1, 1--9 (2015; Zbl 1347.34058)
Wu, Yusen; Zhang, Cui; Xu, Changjin Limit cycles and analytic centers for a family of \(4n - 1\) degree systems with generalized nilpotent singularities. (English) Zbl 1332.34065 J. Funct. Spaces 2015, Article ID 859015, 7 p. (2015). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C20 34C07 PDFBibTeX XMLCite \textit{Y. Wu} et al., J. Funct. Spaces 2015, Article ID 859015, 7 p. (2015; Zbl 1332.34065) Full Text: DOI
Wang, Qinlong; Huang, Wentao Integrability and linearizability for Lotka-Volterra systems with the \(3 : -q\) resonant saddle point. (English) Zbl 1351.34033 Adv. Difference Equ. 2014, Paper No. 23, 15 p. (2014). MSC: 34C05 34C20 34A05 92D25 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{W. Huang}, Adv. Difference Equ. 2014, Paper No. 23, 15 p. (2014; Zbl 1351.34033) Full Text: DOI
Carocca, Ricardo Reyes Coexistence of limit cycles and invariant curves for extended Kukles systems. (English) Zbl 1323.34035 Sci., Ser. A, Math. Sci. (N.S.) 25, 37-45 (2014). MSC: 34C05 34C07 34C25 34C45 PDFBibTeX XMLCite \textit{R. R. Carocca}, Sci., Ser. A, Math. Sci. (N.S.) 25, 37--45 (2014; Zbl 1323.34035)
Ma, Wanchuan; Huang, Wentao; Chen, Ting Weak centers of a quintic Liénard system and local bifurcations of critical periods. (Chinese. English summary) Zbl 1313.34102 J. Hefei Univ. Technol., Nat. Sci. 37, No. 2, 243-247 (2014). MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{W. Ma} et al., J. Hefei Univ. Technol., Nat. Sci. 37, No. 2, 243--247 (2014; Zbl 1313.34102) Full Text: DOI
Wu, Yusen; Li, Feng Bifurcation of limit cycles at degenerate singular point and infinity in a septic system. (English) Zbl 1368.34052 Adv. Difference Equ. 2013, Paper No. 5, 10 p. (2013). MSC: 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{F. Li}, Adv. Difference Equ. 2013, Paper No. 5, 10 p. (2013; Zbl 1368.34052) Full Text: DOI
Huang, Wentao; Chen, Ting; Gu, Tianlong Fourteen limit cycles in a seven-degree nilpotent system. (English) Zbl 1298.34062 Abstr. Appl. Anal. 2013, Article ID 398609, 5 p. (2013). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{W. Huang} et al., Abstr. Appl. Anal. 2013, Article ID 398609, 5 p. (2013; Zbl 1298.34062) Full Text: DOI
Wu, Yusen; Li, Feng; Li, Peiluan Derivation of isochronicity conditions for quasi-cubic homogeneous analytic systems. (English) Zbl 1277.34036 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 9, Article ID 1350149, 11 p. (2013). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Y. Wu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 9, Article ID 1350149, 11 p. (2013; Zbl 1277.34036) Full Text: DOI
Kuehn, Christian A mathematical framework for critical transitions: normal forms, variance and applications. (English) Zbl 1282.34062 J. Nonlinear Sci. 23, No. 3, 457-510 (2013). Reviewer: Romeo Negrea (Timisoara) MSC: 34F05 34E15 60H10 34C23 37M10 34C20 PDFBibTeX XMLCite \textit{C. Kuehn}, J. Nonlinear Sci. 23, No. 3, 457--510 (2013; Zbl 1282.34062) Full Text: DOI arXiv
Sáez, Eduardo; Szántó, Iván Bifurcations of limit cycles in Kukles systems of arbitrary degree with invariant ellipse. (English) Zbl 1264.34075 Appl. Math. Lett. 25, No. 11, 1695-1700 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34C23 34C05 34C45 34C07 PDFBibTeX XMLCite \textit{E. Sáez} and \textit{I. Szántó}, Appl. Math. Lett. 25, No. 11, 1695--1700 (2012; Zbl 1264.34075) Full Text: DOI
Feng, Li; Yinlai, Jin Hopf bifurcation analysis and numerical simulation in a 4D-hyperchaotic system. (English) Zbl 1251.34064 Nonlinear Dyn. 67, No. 4, 2857-2864 (2012). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 34C23 34C28 34C20 34C05 34D20 PDFBibTeX XMLCite \textit{L. Feng} and \textit{J. Yinlai}, Nonlinear Dyn. 67, No. 4, 2857--2864 (2012; Zbl 1251.34064) Full Text: DOI
Zhang, Lina; Liu, Yirong; Jiang, Xuejiao The center conditions and bifurcation of limit cycles at the infinity for a cubic polynomial system. (English) Zbl 1236.34037 Appl. Math. Comput. 218, No. 4, 1360-1370 (2011). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C23 34C25 PDFBibTeX XMLCite \textit{L. Zhang} et al., Appl. Math. Comput. 218, No. 4, 1360--1370 (2011; Zbl 1236.34037) Full Text: DOI
Wang, Qinlong; Huang, Wentao; Li, Bai-Lian Limit cycles and singular point quantities for a 3D Lotka-Volterra system. (English) Zbl 1220.34051 Appl. Math. Comput. 217, No. 21, 8856-8859 (2011). MSC: 34C05 34C07 34C45 34C23 92D25 PDFBibTeX XMLCite \textit{Q. Wang} et al., Appl. Math. Comput. 217, No. 21, 8856--8859 (2011; Zbl 1220.34051) Full Text: DOI
Drubi, Fátima; Ibáñez, Santiago; Rodríguez, J. Ángel Hopf-pitchfork singularities in coupled systems. (English) Zbl 1220.37042 Physica D 240, No. 9-10, 825-840 (2011). Reviewer: Valery A. Gaiko (Groningen) MSC: 37G35 37G10 PDFBibTeX XMLCite \textit{F. Drubi} et al., Physica D 240, No. 9--10, 825--840 (2011; Zbl 1220.37042) Full Text: DOI
Szabo, Fred Linear algebra. An introduction using Mathematica. Reprint of the 2000 hardback original. (English) Zbl 1196.15002 San Diego, CA: Academic Press (ISBN 978-0-12-381401-2/hbk). xiv, 509 p., appendix 62 p., index 10 p. (2009). MSC: 15-01 15A03 15A04 15A09 15A15 15A18 15A23 68W30 15A63 65Y15 PDFBibTeX XMLCite \textit{F. Szabo}, Linear algebra. An introduction using Mathematica. Reprint of the 2000 hardback original. San Diego, CA: Academic Press (2009; Zbl 1196.15002)
Zhang, Qi; Weihua, Gui; Liu, Yirong Bifurcation of limit cycles at the equator for a class of polynomial differential system. (English) Zbl 1167.37341 Nonlinear Anal., Real World Appl. 10, No. 2, 1042-1047 (2009). MSC: 37G15 34C07 34C23 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 1042--1047 (2009; Zbl 1167.37341) Full Text: DOI
Zhang, Qi; Zhao, Zhengquan; Gui, Weihua Bifurcation of limit cycles at the equator. (English) Zbl 1190.34047 Appl. Math. Comput. 211, No. 2, 422-426 (2009). Reviewer: Francisco Balibrea (Murcia) MSC: 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Appl. Math. Comput. 211, No. 2, 422--426 (2009; Zbl 1190.34047) Full Text: DOI
Zhao, Meichun The focus value formula of a special polynomial system. (Chinese. English summary) Zbl 1199.34161 J. Inn. Mong. Norm. Univ., Nat. Sci. 37, No. 3, 318-320 (2008). MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{M. Zhao}, J. Inn. Mong. Norm. Univ., Nat. Sci. 37, No. 3, 318--320 (2008; Zbl 1199.34161)
Zhang, Qi; Liu, Yirong Center conditions and bifurcation of limit cycles at the equator in a class of seven degree polynomial differential systems. (Chinese. English summary) Zbl 1174.34386 J. Syst. Sci. Math. Sci. 28, No. 3, 275-281 (2008). MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Y. Liu}, J. Syst. Sci. Math. Sci. 28, No. 3, 275--281 (2008; Zbl 1174.34386)
Zhang, Qi; Li, Jian-ping Center conditions and bifurcation at the equator for a class of quintic polynomial systems. (Chinese. English summary) Zbl 1229.34047 J. Hunan Agric. Univ., Nat. Sci. 33, No. 1, 117-121 (2007). MSC: 34C05 34C23 34-04 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{J.-p. Li}, J. Hunan Agric. Univ., Nat. Sci. 33, No. 1, 117--121 (2007; Zbl 1229.34047)
Zhang, Qi; Liu, Yirong A quintic polynomial differential system with eleven limit cycles at the infinity. (English) Zbl 1152.34329 Comput. Math. Appl. 53, No. 10, 1518-1526 (2007). MSC: 34C05 34-04 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Y. Liu}, Comput. Math. Appl. 53, No. 10, 1518--1526 (2007; Zbl 1152.34329) Full Text: DOI
Yi, Xuejun; Zhang, Ruihai Center conditions at infinity for a class of cubic system. (Chinese. English summary) Zbl 1145.34328 J. Hunan Univ., Nat. Sci. 34, No. 4, 81-83 (2007). MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{X. Yi} and \textit{R. Zhang}, J. Hunan Univ., Nat. Sci. 34, No. 4, 81--83 (2007; Zbl 1145.34328)
Greuel, Gert-Martin; Pfister, Gerhard [Bachmann, Olaf; Lossen, Christoph; Schönemann, Hans] A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. 2nd extended ed. (English) Zbl 1133.13001 Berlin: Springer (ISBN 978-3-540-73541-0/hbk). xx, 689 p. with CD-ROM. (2007). Reviewer: Peter Schenzel (Halle) MSC: 13-04 13Pxx 14-04 13P10 14Qxx 13-01 13-02 68W30 68-01 14-01 PDFBibTeX XMLCite \textit{G.-M. Greuel} and \textit{G. Pfister}, A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. 2nd extended ed. Berlin: Springer (2007; Zbl 1133.13001) Full Text: DOI Backlinks: MO
Bobe, Alexandru Algorithm for the Gröbner region of a principal ideal. (English) Zbl 1164.65317 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 14, No. 1, 23-44 (2006). Reviewer: Kurt Marti (Neubiberg) MSC: 65D18 13P10 68W30 PDFBibTeX XMLCite \textit{A. Bobe}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 14, No. 1, 23--44 (2006; Zbl 1164.65317) Full Text: EuDML
Zhang, Qi; Liu, Yirong A cubic polynomial system with seven limit cycles at infinity. (English) Zbl 1096.65130 Appl. Math. Comput. 177, No. 1, 319-329 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65P30 37M20 37G15 37G10 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Y. Liu}, Appl. Math. Comput. 177, No. 1, 319--329 (2006; Zbl 1096.65130) Full Text: DOI
Yagasaki, Kazuyuki; Wagenknecht, Thomas Detection of symmetric homoclinic orbits to saddle-centres in reversible systems. (English) Zbl 1101.37017 Physica D 214, No. 2, 169-181 (2006). MSC: 37C10 37C29 37C80 37G20 34C37 37K40 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{T. Wagenknecht}, Physica D 214, No. 2, 169--181 (2006; Zbl 1101.37017) Full Text: DOI Link
Sadovskij, A. P. Cubic systems of nonlinear oscillations with seven limit cycles. (English. Russian original) Zbl 1083.34026 Differ. Equ. 39, No. 4, 505-516 (2003); translation from Differ. Uravn. 39, No. 4, 472-481 (2003). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{A. P. Sadovskij}, Differ. Equ. 39, No. 4, 505--516 (2003; Zbl 1083.34026); translation from Differ. Uravn. 39, No. 4, 472--481 (2003) Full Text: DOI
Liu, Yirong; Chen, Haibo Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems. (English) Zbl 1084.34523 Comput. Math. Appl. 44, No. 8-9, 997-1005 (2002). Reviewer: Peter F. Moson (Budapest) MSC: 34C23 34C05 37G15 34D20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{H. Chen}, Comput. Math. Appl. 44, No. 8--9, 997--1005 (2002; Zbl 1084.34523) Full Text: DOI
Szabo, Fred Linear algebra. An introduction using Mathematica. (English) Zbl 0983.15002 San Diego, CA: Academic Press. xiv, 590 p., appendix 72 p. (2000). Reviewer: Michael Jung (Dresden) MSC: 15-01 15A03 15A04 15A06 15A09 15A15 15A18 15A23 65Fxx 68W30 15A63 65Y15 PDFBibTeX XMLCite \textit{F. Szabo}, Linear algebra. An introduction using Mathematica. San Diego, CA: Academic Press (2000; Zbl 0983.15002)
Giacomini, H.; Ndiaye, M. Sufficient conditions for the existence of a center in polynomial systems of arbitrary degree. (English) Zbl 0856.34028 Publ. Mat., Barc. 40, No. 1, 205-214 (1996). Reviewer: P.Smith (Keele) MSC: 34C05 68W30 PDFBibTeX XMLCite \textit{H. Giacomini} and \textit{M. Ndiaye}, Publ. Mat., Barc. 40, No. 1, 205--214 (1996; Zbl 0856.34028) Full Text: DOI EuDML
Hsieh, Po-Fang; Kohno, Mitsuhiko; Sibuya, Yasutaka Construction of a fundamental matrix solution at a singular point of the first kind by means of the SN decomposition of matrices. (English) Zbl 0851.65053 Linear Algebra Appl. 239, 29-76 (1996). Reviewer: Costică Moroşanu (Iaşi) MSC: 65L05 65F30 68W30 15A23 34A30 PDFBibTeX XMLCite \textit{P.-F. Hsieh} et al., Linear Algebra Appl. 239, 29--76 (1996; Zbl 0851.65053) Full Text: DOI