Liu, Zhenhai; Szántó, Iván Limit cycles and invariant centers for an extended Kukles system. (English) Zbl 1413.34128 Miskolc Math. Notes 18, No. 2, 947-952 (2017). MSC: 34C05 34C23 37G15 34C45 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{I. Szántó}, Miskolc Math. Notes 18, No. 2, 947--952 (2017; Zbl 1413.34128) Full Text: DOI
Sáez, Eduardo; Stange, Eduardo; Szántó, Iván A predator-prey system involving five limit cycles. (English) Zbl 1312.34088 Rocky Mt. J. Math. 44, No. 6, 2057-2073 (2014). MSC: 34C60 34C05 34C23 34D20 92D25 PDFBibTeX XMLCite \textit{E. Sáez} et al., Rocky Mt. J. Math. 44, No. 6, 2057--2073 (2014; Zbl 1312.34088) Full Text: DOI Euclid
Szabó, Béla; Szántó, Iván Limit cycles and invariant parabolas for an extended Kukles system. (English) Zbl 1313.37053 Miskolc Math. Notes 15, No. 1, 219-225 (2014). MSC: 37G15 34C05 34C23 PDFBibTeX XMLCite \textit{B. Szabó} and \textit{I. Szántó}, Miskolc Math. Notes 15, No. 1, 219--225 (2014; Zbl 1313.37053)
Sáez, Eduardo; Szántó, Iván Uniqueness of limit cycles bounded by two invariant parabolas. (English) Zbl 1262.92003 Appl. Math., Praha 57, No. 5, 521-529 (2012). MSC: 92B05 34C05 37N25 PDFBibTeX XMLCite \textit{E. Sáez} and \textit{I. Szántó}, Appl. Math., Praha 57, No. 5, 521--529 (2012; Zbl 1262.92003) Full Text: DOI Link
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
Liu, Zhenhai; Sáez, E.; Szántó, I. A system of degree four with an invariant triangle and at least three small amplitude limit cycles. (English) Zbl 1292.34033 Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 69, 7 p. (2010). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{Z. Liu} et al., Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 69, 7 p. (2010; Zbl 1292.34033) Full Text: EMIS
Sáez, Eduardo; Szántó, Iván A cubic system with a limit cycle bounded by two invariant parabolas. (English) Zbl 1207.34038 Differ. Equ. Dyn. Syst. 17, No. 1-2, 163-168 (2009). MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{E. Sáez} and \textit{I. Szántó}, Differ. Equ. Dyn. Syst. 17, No. 1--2, 163--168 (2009; Zbl 1207.34038) Full Text: DOI
Liu, Zhenhai; Sáez, E.; Szántó, I. Limit cycles and invariant parabola in a Kukles systems of degree three. (English) Zbl 1190.92025 Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 4, 865-869 (2008). MSC: 92D25 34C05 PDFBibTeX XMLCite \textit{Z. Liu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 4, 865--869 (2008; Zbl 1190.92025) Full Text: DOI
Sáez, Eduardo; Szántó, Iván Coexistence of algebraic and nonalgebraic limit cycles in Kukles systems. (English) Zbl 1164.34379 Period. Math. Hung. 56, No. 1, 137-142 (2008). MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{E. Sáez} and \textit{I. Szántó}, Period. Math. Hung. 56, No. 1, 137--142 (2008; Zbl 1164.34379) Full Text: DOI
Sáez, Eduardo; Stange, Eduardo; Szántó, Iván Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four. (English) Zbl 1168.92319 Czech. Math. J. 57, No. 1, 105-114 (2007). MSC: 92D25 34C05 34C60 PDFBibTeX XMLCite \textit{E. Sáez} et al., Czech. Math. J. 57, No. 1, 105--114 (2007; Zbl 1168.92319) Full Text: DOI EuDML Link
Sáez, E.; Szántó, I. A polycycle and limit cycles in a non-differentiable predator-prey model. (English) Zbl 1130.34022 Proc. Indian Acad. Sci., Math. Sci. 117, No. 2, 219-231 (2007). Reviewer: Jinzhi Lei (Beijing) MSC: 34C23 37G15 92D25 34C05 34C37 PDFBibTeX XMLCite \textit{E. Sáez} and \textit{I. Szántó}, Proc. Indian Acad. Sci., Math. Sci. 117, No. 2, 219--231 (2007; Zbl 1130.34022) Full Text: DOI
Chavarriga, J.; García, I. A.; Sáez, E.; Szántó, I. Limit cycles in Kukles systems of arbitrary degree with invariant ellipse. (English) Zbl 1124.34017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1005-1014 (2007). Reviewer: Maite Grau (Lleida) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1005--1014 (2007; Zbl 1124.34017) Full Text: DOI
González-Olivares, E.; González-Yañez, B.; Sáez, E.; Szántó, I. On the number of limit cycles in a predator prey model with non-monotonic functional response. (English) Zbl 1092.92045 Discrete Contin. Dyn. Syst., Ser. B 6, No. 3, 525-534 (2006). MSC: 92D40 34C05 34C60 37N25 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Discrete Contin. Dyn. Syst., Ser. B 6, No. 3, 525--534 (2006; Zbl 1092.92045) Full Text: DOI
Sáez, Eduardo; Stange, Eduardo; Szántó, Iván Simultaneous zip bifurcation and limit cycles in three dimensional competition models. (English) Zbl 1087.92065 SIAM J. Appl. Dyn. Syst. 5, No. 1, 1-11 (2006). MSC: 92D40 34C05 37N25 92D25 PDFBibTeX XMLCite \textit{E. Sáez} et al., SIAM J. Appl. Dyn. Syst. 5, No. 1, 1--11 (2006; Zbl 1087.92065) Full Text: DOI Link
González-Olivares, E.; Sáez, E.; Stange, E.; Szántó, I. Topological description of a non-differentiable bioeconomics model. (English) Zbl 1214.91083 Rocky Mt. J. Math. 35, No. 4, 1133-1155 (2005). MSC: 91B76 37N25 92D40 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Rocky Mt. J. Math. 35, No. 4, 1133--1155 (2005; Zbl 1214.91083) Full Text: DOI
Chavarriga, J.; Sáez, E.; Szántó, I.; Grau, M. Coexistence of limit cycles and invariant algebraic curves for a Kukles system. (English) Zbl 1076.34029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 5, 673-693 (2004). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C05 34A05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 5, 673--693 (2004; Zbl 1076.34029) Full Text: DOI
Chavarriga, J.; Sáez, E.; Szántó, I. Isochronous centers and real invariant straight lines in cubic planar systems. (English) Zbl 1078.34014 Rad. Mat. 11, No. 2, 229-237 (2003). Reviewer: Alexander Grin (Grodno) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., Rad. Mat. 11, No. 2, 229--237 (2003; Zbl 1078.34014)
Liu, Zhenhai; Sáez, E.; Szántó, I. A cubic system with an invariant triangle surrounding at least one limit cycle. (English) Zbl 1051.34025 Taiwanese J. Math. 7, No. 2, 275-281 (2003). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C05 34C14 PDFBibTeX XMLCite \textit{Z. Liu} et al., Taiwanese J. Math. 7, No. 2, 275--281 (2003; Zbl 1051.34025) Full Text: DOI
Lloyd, N. G.; Pearson, J. M.; Saéz, E.; Szántó, I. A cubic Kolmogorov system with six limit cycles. (English) Zbl 1210.34048 Comput. Math. Appl. 44, No. 3-4, 445-455 (2002). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{N. G. Lloyd} et al., Comput. Math. Appl. 44, No. 3--4, 445--455 (2002; Zbl 1210.34048) Full Text: DOI
Sáez, E.; Szántó, I.; Monsalve, A. Three limit cycles for a first-order exothermic chemical reaction in a continuous stirred-tank reactor. (English) Zbl 1008.92041 J. Math. Chem. 27, No. 1-2, 171-182 (2000). MSC: 92E20 34C05 34C60 37N25 PDFBibTeX XMLCite \textit{E. Sáez} et al., J. Math. Chem. 27, No. 1--2, 171--182 (2000; Zbl 1008.92041) Full Text: DOI
Sáez, E.; Szántó, I. One-parameter family of cubic Kolmogorov systems with an isochronous center. (English) Zbl 0892.34021 Collect. Math. 48, No. 3, 297-301 (1997). Reviewer: I.Szántó (Valparaíso) MSC: 34C05 37G15 PDFBibTeX XML Full Text: EuDML
Lloyd, N. G.; Pearson, J. M.; Sáez, E.; Szántó, I. Limit cycles of a cubic Kolmogorov system. (English) Zbl 0858.34023 Appl. Math. Lett. 9, No. 1, 15-18 (1996). Reviewer: Chen Lan Sun (Beijing) MSC: 34C05 92D25 34C23 PDFBibTeX XMLCite \textit{N. G. Lloyd} et al., Appl. Math. Lett. 9, No. 1, 15--18 (1996; Zbl 0858.34023) Full Text: DOI
Guíñez, V.; Sáez, E.; Szántó, I. Small amplitude limit cycles for cubic systems. (English) Zbl 0791.58078 Can. Math. Bull. 36, No. 1, 54-63 (1993). Reviewer: E.Sáez (Valparaíso) MSC: 37G15 34C05 PDFBibTeX XMLCite \textit{V. Guíñez} et al., Can. Math. Bull. 36, No. 1, 54--63 (1993; Zbl 0791.58078) Full Text: DOI
Guiñez, V.; Saez, E.; Szanto, I. Simultaneous Hopf bifurcations at the origin and infinity for cubic systems. (English) Zbl 0786.34045 Bamon, R. (ed.) et al., Dynamical systems. Proceedings of the 3rd international school of dynamical systems, Santiago de Chile, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 285, 40-51 (1993). MSC: 34C23 34C05 PDFBibTeX XMLCite \textit{V. Guiñez} et al., in: Dynamical systems. Proceedings of the 3rd international school of dynamical systems, Santiago de Chile, 1990. Harlow, Essex: Longman Scientific \& Technical; New York: John Wiley \& Sons, Inc.. 40--51 (1993; Zbl 0786.34045)
Szántó, I. A simple class of cubic systems without limit cycles. (English) Zbl 0787.34031 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 35, 267-270 (1992). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 PDFBibTeX XMLCite \textit{I. Szántó}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 35, 267--270 (1992; Zbl 0787.34031)
Sáez, E.; Szántó, I. An existence of inequality on a fine focus. (English) Zbl 0711.34039 IEEE Trans. Circuits Syst. 37, No. 5, 661-663 (1990). MSC: 34C05 34C23 37-XX PDFBibTeX XMLCite \textit{E. Sáez} and \textit{I. Szántó}, IEEE Trans. Circuits Syst. 37, No. 5, 661--663 (1990; Zbl 0711.34039) Full Text: DOI
Guíñez, Víctor; Sáez, Eduardo; Szántó, Iván Limit cycles close to infinity of certain nonlinear differential equations. (English) Zbl 0656.58026 Can. Math. Bull. 33, No. 1, 55-59 (1990). Reviewer: V.Guíñez MSC: 37G15 37J40 34C05 PDFBibTeX XMLCite \textit{V. Guíñez} et al., Can. Math. Bull. 33, No. 1, 55--59 (1990; Zbl 0656.58026) Full Text: DOI