Edit Profile (opens in new tab) Szántó, Iván Compute Distance To: Compute Author ID: szanto.ivan Published as: Szántó, I.; Szántó, Iván; Szanto, Ivan; Szántó, Ivan; Szanto, I. more...less Documents Indexed: 43 Publications since 1979 Co-Authors: 22 Co-Authors with 37 Joint Publications 283 Co-Co-Authors all top 5 Co-Authors 6 single-authored 30 Sáez, Eduardo 8 Liu, Zhenhai 5 Stange, Eduardo 3 Chavarriga, Javier 3 González-Olivares, Eduardo 3 Guíñez, Víctor 2 Lloyd, Noel Glynne 2 Pearson, Jane Margaret 1 Billeke, Jorge 1 Cañas, Moisés 1 Falconi, Manuel J. 1 Farkas, Miklós 1 García, Isaac A. 1 Gonzalez-Yañez, Betsabe 1 Grau, Maite 1 Liu, Yiliang 1 Lu, Liang 1 Lu, Peifen 1 Monsalve, A. G. 1 Sun, Jihua 1 Szabó, Béla 1 Tuma, Elías all top 5 Serials 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Miskolc Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Bulletin of the Polish Academy of Sciences. Technical Sciences 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Canadian Mathematical Bulletin 2 Scientia. Publicacion de la Universidad Tecnica Federico Santa María 2 Applied Mathematics Letters 1 Computers & Mathematics with Applications 1 Periodica Mathematica Hungarica 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 IEEE Transactions on Automatic Control 1 IEEE Transactions on Circuits and Systems 1 Mathematicae Notae 1 Results in Mathematics 1 Acta Mathematica Hungarica 1 Radovi Matematički 1 Applications of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Scientia. Series A: Mathematical Sciences. New Series 1 International Journal of Biomathematics all top 5 Fields 39 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 172 times in 123 Documents Cited by ▼ Year ▼ Limit cycles of a cubic Kolmogorov system. Zbl 0858.34023Lloyd, N. G.; Pearson, J. M.; Sáez, E.; Szántó, I. 27 1996 Monotone iterative technique for Riemann-Liouville fractional integro-differential equations with advanced arguments. Zbl 1276.26017Liu, Zhenhai; Sun, Jihua; Szántó, Iván 27 2013 Existence of solutions for fractional impulsive differential equations with \(p\)-Laplacian operator. Zbl 1313.34242Liu, Z.; Lu, L.; Szántó, I. 23 2013 A cubic Kolmogorov system with six limit cycles. Zbl 1210.34048Lloyd, N. G.; Pearson, J. M.; Saéz, E.; Szántó, I. 21 2002 Coexistence of limit cycles and invariant algebraic curves for a Kukles system. Zbl 1076.34029Chavarriga, J.; Sáez, E.; Szántó, I.; Grau, M. 11 2004 On the number of limit cycles in a predator prey model with non-monotonic functional response. Zbl 1092.92045González-Olivares, E.; González-Yañez, B.; Sáez, E.; Szántó, I. 8 2006 Velcro bifurcation in competition models with generalized Holling functional response. Zbl 1089.92055Farkas, M.; Sáez, E.; Szántó, I. 6 2005 Limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1124.34017Chavarriga, J.; García, I. A.; Sáez, E.; Szántó, I. 5 2007 Cubic Kolmogorov system with invariant straight lines. Zbl 1042.34547Sáez, E.; Szántó, I.; González-Olivares, E. 5 2001 One-parameter family of cubic Kolmogorov systems with an isochronous center. Zbl 0892.34021Sáez, E.; Szántó, I. 4 1997 Topological description of a non-differentiable bioeconomics model. Zbl 1214.91083González-Olivares, E.; Sáez, E.; Stange, E.; Szántó, I. 4 2005 A cubic system with an invariant triangle surrounding at least one limit cycle. Zbl 1051.34025Liu, Zhenhai; Sáez, E.; Szántó, I. 4 2003 A polycycle and limit cycles in a non-differentiable predator-prey model. Zbl 1130.34022Sáez, E.; Szántó, I. 3 2007 Simultaneous zip bifurcation and limit cycles in three dimensional competition models. Zbl 1087.92065Sáez, Eduardo; Stange, Eduardo; Szántó, Iván 3 2006 Coexistence of algebraic and nonalgebraic limit cycles in Kukles systems. Zbl 1164.34379Sáez, Eduardo; Szántó, Iván 3 2008 Bifurcations of limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1264.34075Sáez, Eduardo; Szántó, Iván 2 2012 Numerical analysis for a fractional differential time-delay model of HIV infection of CD4\(^+\) T-cell proliferation under antiretroviral therapy. Zbl 1406.92356Liu, Yiliang; Lu, Peifen; Szanto, Ivan 2 2014 Chaotic dynamics and coexistence in a three species interaction model. Zbl 1328.92066Sáez, Eduardo; Stange, Eduardo; Szántó, Iván; González-Olivares, Eduardo; Falconi, Manuel 2 2015 Simultaneous Hopf bifurcations at the origin and infinity for cubic systems. Zbl 0786.34045Guiñez, V.; Saez, E.; Szanto, I. 2 1993 On the construction of certain Dulac functions. Zbl 0646.34067Sáez, Eduardo; Szántó, Ivan 2 1988 Limit cycles and invariant parabola in a Kukles systems of degree three. Zbl 1190.92025Liu, Zhenhai; Sáez, E.; Szántó, I. 2 2008 Three limit cycles for a first-order exothermic chemical reaction in a continuous stirred-tank reactor. Zbl 1008.92041Sáez, E.; Szántó, I.; Monsalve, A. 1 2000 Multivalued differential equations in Banach spaces and their applications. Zbl 1017.34062Liu, Zhenhai; Szanto, Ivan 1 2002 Inverse coefficient problems for parabolic hemivariational inequalities. Zbl 1249.35351Liu, Zhenhai; Szántó, I. 1 2011 Small amplitude limit cycles for cubic systems. Zbl 0791.58078Guíñez, V.; Sáez, E.; Szántó, I. 1 1993 Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four. Zbl 1168.92319Sáez, Eduardo; Stange, Eduardo; Szántó, Iván 1 2007 A cubic system with a limit cycle bounded by two invariant parabolas. Zbl 1207.34038Sáez, Eduardo; Szántó, Iván 1 2009 Chaotic dynamics and coexistence in a three species interaction model. Zbl 1328.92066Sáez, Eduardo; Stange, Eduardo; Szántó, Iván; González-Olivares, Eduardo; Falconi, Manuel 2 2015 Numerical analysis for a fractional differential time-delay model of HIV infection of CD4\(^+\) T-cell proliferation under antiretroviral therapy. Zbl 1406.92356Liu, Yiliang; Lu, Peifen; Szanto, Ivan 2 2014 Monotone iterative technique for Riemann-Liouville fractional integro-differential equations with advanced arguments. Zbl 1276.26017Liu, Zhenhai; Sun, Jihua; Szántó, Iván 27 2013 Existence of solutions for fractional impulsive differential equations with \(p\)-Laplacian operator. Zbl 1313.34242Liu, Z.; Lu, L.; Szántó, I. 23 2013 Bifurcations of limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1264.34075Sáez, Eduardo; Szántó, Iván 2 2012 Inverse coefficient problems for parabolic hemivariational inequalities. Zbl 1249.35351Liu, Zhenhai; Szántó, I. 1 2011 A cubic system with a limit cycle bounded by two invariant parabolas. Zbl 1207.34038Sáez, Eduardo; Szántó, Iván 1 2009 Coexistence of algebraic and nonalgebraic limit cycles in Kukles systems. Zbl 1164.34379Sáez, Eduardo; Szántó, Iván 3 2008 Limit cycles and invariant parabola in a Kukles systems of degree three. Zbl 1190.92025Liu, Zhenhai; Sáez, E.; Szántó, I. 2 2008 Limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1124.34017Chavarriga, J.; García, I. A.; Sáez, E.; Szántó, I. 5 2007 A polycycle and limit cycles in a non-differentiable predator-prey model. Zbl 1130.34022Sáez, E.; Szántó, I. 3 2007 Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four. Zbl 1168.92319Sáez, Eduardo; Stange, Eduardo; Szántó, Iván 1 2007 On the number of limit cycles in a predator prey model with non-monotonic functional response. Zbl 1092.92045González-Olivares, E.; González-Yañez, B.; Sáez, E.; Szántó, I. 8 2006 Simultaneous zip bifurcation and limit cycles in three dimensional competition models. Zbl 1087.92065Sáez, Eduardo; Stange, Eduardo; Szántó, Iván 3 2006 Velcro bifurcation in competition models with generalized Holling functional response. Zbl 1089.92055Farkas, M.; Sáez, E.; Szántó, I. 6 2005 Topological description of a non-differentiable bioeconomics model. Zbl 1214.91083González-Olivares, E.; Sáez, E.; Stange, E.; Szántó, I. 4 2005 Coexistence of limit cycles and invariant algebraic curves for a Kukles system. Zbl 1076.34029Chavarriga, J.; Sáez, E.; Szántó, I.; Grau, M. 11 2004 A cubic system with an invariant triangle surrounding at least one limit cycle. Zbl 1051.34025Liu, Zhenhai; Sáez, E.; Szántó, I. 4 2003 A cubic Kolmogorov system with six limit cycles. Zbl 1210.34048Lloyd, N. G.; Pearson, J. M.; Saéz, E.; Szántó, I. 21 2002 Multivalued differential equations in Banach spaces and their applications. Zbl 1017.34062Liu, Zhenhai; Szanto, Ivan 1 2002 Cubic Kolmogorov system with invariant straight lines. Zbl 1042.34547Sáez, E.; Szántó, I.; González-Olivares, E. 5 2001 Three limit cycles for a first-order exothermic chemical reaction in a continuous stirred-tank reactor. Zbl 1008.92041Sáez, E.; Szántó, I.; Monsalve, A. 1 2000 One-parameter family of cubic Kolmogorov systems with an isochronous center. Zbl 0892.34021Sáez, E.; Szántó, I. 4 1997 Limit cycles of a cubic Kolmogorov system. Zbl 0858.34023Lloyd, N. G.; Pearson, J. M.; Sáez, E.; Szántó, I. 27 1996 Simultaneous Hopf bifurcations at the origin and infinity for cubic systems. Zbl 0786.34045Guiñez, V.; Saez, E.; Szanto, I. 2 1993 Small amplitude limit cycles for cubic systems. Zbl 0791.58078Guíñez, V.; Sáez, E.; Szántó, I. 1 1993 On the construction of certain Dulac functions. Zbl 0646.34067Sáez, Eduardo; Szántó, Ivan 2 1988 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 8 Sáez, Eduardo 8 Szántó, Iván 7 Wang, Guotao 6 Du, Chaoxiong 6 González-Olivares, Eduardo 6 Liu, Yirong 6 Nyamoradi, Nemat 6 Rojas-Palma, Alejandro 5 Huang, Wentao 5 Zhang, Lihong 4 Ahmad, Bashir 4 Bendjeddou, Ahmed 4 Boukoucha, Rachid 4 Ferreira, Jocirei D. 3 Băleanu, Dumitru I. 3 Giné, Jaume 3 Lin, Zeng 3 Liu, Zhenhai 3 Lloyd, Noel Glynne 3 Makhlouf, Amar 3 Pearson, Jane Margaret 3 Pei, Ke 3 Rao, Vadrevu Sree Hari 3 Romanovskiĭ, Valeriĭ Georgievich 3 Wang, Jinrong 3 Wang, Qinlong 2 Ali, Khalid Karam 2 Benyoucef, Salah 2 Boulfoul, Amel 2 Ding, Youzheng 2 El Salam, Mohamed A. Abd 2 Jankowski, Tadeusz 2 Jiang, Min 2 Li, Feng 2 Li, Xiuwen 2 Liu, Sanyang 2 Liu, Yiliang 2 Mellahi, Nawal 2 Mereu, Ana Cristina 2 Mohamed, Emad M. H. 2 Osuna, Osvaldo 2 Rabanal, Roland 2 Rodríguez-López, Rosana 2 Stange, Eduardo 2 Sukavanam, Nagarajan 2 Torres Ledesma, César Enrique 2 Wang, Rui 2 Wei, Wei 2 Zhang, Tonghua 2 Zhang, Xinan 2 Zhao, Yulin 2 Zhong, Shou-Ming 1 Abdeljawad, Thabet 1 Agarwal, Ravi P. 1 Aguirre, Pablo 1 Ahmad, Mansoor 1 Alarcón, Begoña 1 Algaba, Antonio 1 Alkhazzan, Abdulwasea 1 Alzabut, Jehad O. 1 Angulo, Fabiola 1 Arjunan, Mani Mallika 1 Chaudhary, Renu 1 Chavarriga, Javier 1 Chen, Lansun 1 Chen, Xingwu 1 Chouader, R. 1 da Silva, Severino Horácio 1 Dai, Yanfei 1 Devlin, James 1 Escobar, Carlos M. 1 Fan, Wenjun 1 Feng, Guangting 1 Feng, Meiqiang 1 Ferčec, Brigita 1 Flores, José D. 1 Flores, Salvador 1 Gaiko, Valery A. 1 Galvis, Alejandra M. Pulgarin 1 Gao, Jianguo 1 García, Cristóbal 1 García, Isaac A. 1 Garijo, Antonio 1 Grazem, Mohamed 1 Guo, Xiaotong 1 Haibo, Chen 1 Han, Maoan 1 Haq, Abdul 1 He, Dongping 1 Hendy, Ahmed S. 1 Kadyrsizova, Zhibek 1 Kalamani, Palaniyappan 1 Khan, Aziz 1 Khan, Hasib 1 Khodabakhshi, Neda 1 Kiss, Krisztina 1 Kovacs, Sandor 1 Kumar, Sunil 1 Li, Xinli 1 Liang, Zhaojun ...and 85 more Authors all top 5 Cited in 59 Serials 10 Applied Mathematics and Computation 8 Advances in Difference Equations 6 Chaos, Solitons and Fractals 6 Abstract and Applied Analysis 5 Nonlinear Dynamics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematical Modelling 3 Differential Equations and Dynamical Systems 3 Discrete Dynamics in Nature and Society 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Journal of Siberian Federal University. Mathematics & Physics 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Acta Applicandae Mathematicae 2 Physica D 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Bulletin des Sciences Mathématiques 2 Acta Mathematica Sinica. English Series 2 Qualitative Theory of Dynamical Systems 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 International Journal of Differential Equations 2 Journal of Function Spaces 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Biology 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Biosciences and Engineering 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Analysis and Computation 1 Advances in Nonlinear Analysis 1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Applied and Computational Mathematics 1 Korean Journal of Mathematics all top 5 Cited in 16 Fields 112 Ordinary differential equations (34-XX) 27 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 13 Real functions (26-XX) 12 Partial differential equations (35-XX) 11 Integral equations (45-XX) 11 Operator theory (47-XX) 11 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Citations by Year