Edit Profile (opens in new tab) Sáez, Eduardo Compute Distance To: Compute Author ID: saez.eduardo Published as: Sáez, E.; Sáez, Eduardo; Saez, Eduardo; Saez, E.; Saéz, E. more...less Documents Indexed: 43 Publications since 1979 Co-Authors: 21 Co-Authors with 40 Joint Publications 254 Co-Co-Authors all top 5 Co-Authors 0 single-authored 30 Szántó, Iván 6 Guíñez, Víctor 5 González-Olivares, Eduardo 5 Stange, Eduardo 4 Billeke, Jorge 3 Cañas, Moisés 3 Chavarriga, Javier 3 Liu, Zhenhai 2 Aguirre, Pablo 2 Lloyd, Noel Glynne 2 Pearson, Jane Margaret 2 Tuma, Elías 1 Falconi, Manuel J. 1 Farkas, Miklós 1 Figueroa, Jaime 1 García, Isaac A. 1 Gonzalez-Yañez, Betsabe 1 Grau, Maite 1 Gross, Lutz 1 Lazarus, Susan 1 Monsalve, A. G. 1 Mora, Peter 1 Urbina, Ana María 1 Vásquez, Renato 1 Weatherley, Dion all top 5 Serials 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rocky Mountain Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Collectanea Mathematica 2 Mathematicae Notae 2 Scientia. Publicacion de la Universidad Tecnica Federico Santa María 2 Applied Mathematics Letters 2 SIAM Journal on Applied Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Periodica Mathematica Hungarica 1 Czechoslovak Mathematical Journal 1 IEEE Transactions on Automatic Control 1 IEEE Transactions on Circuits and Systems 1 Revista Colombiana de Matemáticas 1 Radovi Matematički 1 Notas de la Sociedad de Matemática de Chile 1 Applications of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 SIAM Journal on Applied Dynamical Systems 1 Miskolc Mathematical Notes 1 Proyecciones 1 International Journal of Biomathematics all top 5 Fields 36 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Biology and other natural sciences (92-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-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 256 times in 163 Documents Cited by ▼ Year ▼ Dynamics of a predator-prey model. Zbl 0934.92027Sáez, E.; González-Olivares, E. 101 1999 Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1184.92046Aguirre, Pablo; González-Olivares, Eduardo; Sáez, Eduardo 72 2009 Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1160.92038Aguirre, Pablo; González-Olivares, Eduardo; Sáez, Eduardo 64 2009 Limit cycles of a cubic Kolmogorov system. Zbl 0858.34023Lloyd, N. G.; Pearson, J. M.; Sáez, E.; Szántó, I. 27 1996 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 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 Monotonicity of the period map of a non-Hamiltonian center. Zbl 0812.34018Billeke, Jorge; Saez, Eduardo 1 1994 Small amplitude limit cycles for cubic systems. Zbl 0791.58078Guíñez, V.; Sáez, E.; Szántó, I. 1 1993 About generalized Hopf bifurcations at infinity for planar cubic systems. Zbl 0864.34019Sáez, Eduardo; Vásquez, Renato; Billeke, Jorge 1 1995 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 Bifurcations of limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1264.34075Sáez, Eduardo; Szántó, Iván 2 2012 Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1184.92046Aguirre, Pablo; González-Olivares, Eduardo; Sáez, Eduardo 72 2009 Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1160.92038Aguirre, Pablo; González-Olivares, Eduardo; Sáez, Eduardo 64 2009 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 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 Dynamics of a predator-prey model. Zbl 0934.92027Sáez, E.; González-Olivares, E. 101 1999 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 About generalized Hopf bifurcations at infinity for planar cubic systems. Zbl 0864.34019Sáez, Eduardo; Vásquez, Renato; Billeke, Jorge 1 1995 Monotonicity of the period map of a non-Hamiltonian center. Zbl 0812.34018Billeke, Jorge; Saez, Eduardo 1 1994 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 279 Authors 15 González-Olivares, Eduardo 15 Rojas-Palma, Alejandro 8 Sáez, Eduardo 8 Szántó, Iván 7 Flores, José D. 6 Aguirre, Pablo 6 Arancibia-Ibarra, Claudio 6 Banerjee, Malay 6 Du, Chaoxiong 6 Gonzalez-Yañez, Betsabe 6 Liu, Yirong 6 Wang, Weiming 5 Cai, Yongli 5 Huang, Wentao 4 Bendjeddou, Ahmed 4 Boukoucha, Rachid 4 Chen, Fengde 4 Ferreira, Jocirei D. 4 Kang, Yun 3 Giné, Jaume 3 Lloyd, Noel Glynne 3 Makhlouf, Amar 3 Mandal, Partha Sarathi 3 Padhi, Seshadev 3 Pearson, Jane Margaret 3 Rao, Vadrevu Sree Hari 3 Romanovskiĭ, Valeriĭ Georgievich 3 Samanta, Guru Prasad 3 Srinivasu, Pichika D. N. 3 Wang, Qinlong 3 Zhang, Tonghua 2 Benyoucef, Salah 2 Boulfoul, Amel 2 Buffoni, Giuseppe 2 Ding, Minmin 2 Gallego-Berrío, Lina M. 2 Groppi, Maria 2 Kumar, Udai 2 Li, Feng 2 Li, Xinli 2 Liu, Xia 2 Liu, Yanwei 2 Ma, Zhanping 2 Mahapatra, Ghanshaym Singha 2 Maiti, Alakes 2 Mellahi, Nawal 2 Mena-Lorca, Jaime 2 Mereu, Ana Cristina 2 Osuna, Osvaldo 2 Pati, Smita 2 Rabanal, Roland 2 Ruan, Shigui 2 Sen, Moitri 2 Shen, Jianhe 2 Song, Yongli 2 Soresina, Cinzia 2 Stange, Eduardo 2 Tintinago-Ruíz, Paulo C. 2 van Heijster, Peter 2 Wang, Qi 2 Wang, Zhijie 2 Wen, Xiaoqing 2 Xiao, Xiaoyong 2 Yang, Liu 2 Yin, Hongwei 2 Yousef, Ahmed M. 2 Yu, Pei 2 Zhang, Hongyan 2 Zhang, Xinan 2 Zhao, Yulin 2 Zhong, Shou-Ming 2 Zhu, Yanuo 1 Abbas, Syed 1 Alarcón, Begoña 1 Algaba, Antonio 1 Alvarez, María Jesus 1 Angulo, Fabiola 1 Arsie, Alessandro 1 Babakordi, Nayyereh 1 Bajiya, Vijay Pal 1 Bhowmick, Amiya Ranjan 1 Bode, Michael 1 Cao, Jianzhi 1 Chang, Zhengbo 1 Chattopadhyay, Joydev 1 Chavarriga, Javier 1 Chen, Lansun 1 Chen, Lijuan 1 Chen, Xingwu 1 Chen, Yuming 1 Cheng, Zhibo 1 Chouader, R. 1 Chowdhury, Pranali Roy 1 da Silva, Severino Horácio 1 Dai, Binxiang 1 Dai, Yanfei 1 Devlin, James 1 dos Santos, Renato Vieira 1 Duarte, Jorge A. 1 Dubey, Balram ...and 179 more Authors all top 5 Cited in 64 Serials 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Nonlinear Analysis. Real World Applications 8 Nonlinear Dynamics 6 Applied Mathematical Modelling 6 Discrete Dynamics in Nature and Society 6 Mathematical Biosciences and Engineering 5 Computers & Mathematics with Applications 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 5 Abstract and Applied Analysis 4 Chaos, Solitons and Fractals 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Differential Equations and Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Differential Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Biomathematics 3 Journal of Siberian Federal University. Mathematics & Physics 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Czechoslovak Mathematical Journal 2 Mathematics and Computers in Simulation 2 Acta Applicandae Mathematicae 2 Physica D 2 Computational and Applied Mathematics 2 Bulletin des Sciences Mathématiques 2 Functional Differential Equations 2 Acta Mathematica Sinica. English Series 2 Qualitative Theory of Dynamical Systems 2 Journal of Theoretical Biology 2 Journal of Function Spaces 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Russian Mathematics 1 Filomat 1 Discrete and Continuous Dynamical Systems 1 Revista de Matemática: Teoría y Aplicaciones 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Advances in Difference Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Differential Equations 1 Journal of Mathematics and Computer Science. JMCS 1 Journal of Applied Analysis and Computation 1 Journal of Computational Dynamics 1 Journal of Applied Nonlinear Dynamics 1 Discontinuity, Nonlinearity, and Complexity 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 all top 5 Cited in 15 Fields 128 Ordinary differential equations (34-XX) 110 Biology and other natural sciences (92-XX) 36 Dynamical systems and ergodic theory (37-XX) 17 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year