Edit Profile (opens in new tab) Serrano, Sergio E. Co-Author Distance Author ID: serrano.sergio-e Published as: Serrano, Sergio; Serrano, S. E.; Serrano, Sergio E.; Serrano, S. more...less External Links: ORCID Documents Indexed: 45 Publications since 1986, including 1 Additional arXiv Preprint Co-Authors: 13 Co-Authors with 24 Joint Publications 376 Co-Co-Authors all top 5 Co-Authors 5 single-authored 20 Barrio, Roberto 8 Blesa, Fernando 4 Martínez, M. Angeles 4 Unny, T. E. 3 Abad, Alberto J. 3 Melendo, Begoña 3 San-Juan, Juan Félix 2 Dena, Ángeles 2 Jiang, Hao 2 Wilczak, Daniel 1 Belmonte-Beitia, Juan 1 Du, Peibing 1 Elipe, Antonio 1 Jover-Galtier, J. A. 1 Kacimov, Anvar R. 1 Martínez-Rubio, Álvaro 1 Pérez-García, Víctor Manuel 1 Rodríguez, Marcos 1 Shilnikov, Andrey L. all top 5 Serials 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Physica D 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Stochastic Hydrology and Hydraulics 3 Chaos 3 Communications in Nonlinear Science and Numerical Simulation 2 Computers & Mathematics with Applications 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computer Physics Communications 1 Mathematical Biosciences 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematical Modelling 1 Abstract and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems all top 5 Fields 14 Dynamical systems and ergodic theory (37-XX) 12 Ordinary differential equations (34-XX) 11 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 10 Mechanics of particles and systems (70-XX) 7 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 5 Geophysics (86-XX) 4 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 242 times in 180 Documents Cited by ▼ Year ▼ Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors. Zbl 1173.37049 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 46 2009 Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons. Zbl 1345.34082 Barrio, Roberto; Angeles Martínez, M.; Serrano, Sergio; Shilnikov, Andrey 27 2014 A three-parametric study of the Lorenz model. Zbl 1120.34322 Barrio, R.; Serrano, S. 22 2007 When chaos meets hyperchaos: 4D Rössler model. Zbl 1374.34144 Barrio, Roberto; Angeles Martínez, M.; Serrano, Sergio; Wilczak, Daniel 16 2015 Bounds for the chaotic region in the Lorenz model. Zbl 1178.34048 Barrio, Roberto; Serrano, Sergio 15 2009 Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria. Zbl 1236.65154 Barrio, R.; Blesa, F.; Dena, A.; Serrano, S. 13 2011 Coexistence and dynamical connections between hyperchaos and chaos in the 4D Rössler system: a computer-assisted proof. Zbl 1359.37144 Wilczak, Daniel; Serrano, Sergio; Barrio, Roberto 13 2016 Bifurcations and chaos in Hamiltonian systems. Zbl 1193.65214 Barrio, R.; Blesa, F.; Serrano, S. 12 2010 Semigroup solutions to stochastic unsteady groundwater flow subject to random parameters. Zbl 0658.76098 Serrano, S. E.; Unny, T. E. 11 1987 Periodic, escape and chaotic orbits in the Copenhagen and the \((n + 1)\)-body ring problems. Zbl 1221.70015 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 11 2009 Qualitative analysis of the \((N+1)\)-body ring problem. Zbl 1283.70010 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 10 2008 Behavior patterns in multiparametric dynamical systems: Lorenz model. Zbl 1270.34095 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 9 2012 General solution to random advective-dispersive equation in porous media. I: Stochasticity in the sources and in the boundaries. Zbl 0674.76091 Serrano, S. E. 7 1988 Unbounded dynamics in dissipative flows: Rössler model. Zbl 1345.37031 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 7 2014 Spike-adding structure in fold/hom bursters. Zbl 1453.37080 Barrio, R.; Ibáñez, S.; Pérez, L.; Serrano, S. 7 2020 On the numerical evaluation of linear recurrences. Zbl 1015.65072 Barrio, R.; Melendo, B.; Serrano, S. 6 2003 Stochastic contaminant transport equation in porous media. Zbl 1075.76672 Adomian, G.; Serrano, S. E. 6 1998 Boundary element solution of the two-dimensional groundwater flow equation with stochastic free surface boundary condition. Zbl 0692.76086 Serrano, Sergio E.; Unny, T. E. 6 1986 General solution to random advective-dispersive equation in porous media. II: Stochasticity in the parameters. Zbl 0674.76090 Serrano, S. E. 5 1988 Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms. Zbl 1066.42017 Barrio, R.; Melendo, B.; Serrano, S. 4 2005 Semianalytical methods in stochastic groundwater transport. Zbl 0766.76082 Serrano, Sergio E. 4 1992 Random evolution equations in hydrology. Zbl 0699.76110 Serrano, Sergio E.; Unny, T. E. 4 1990 A general condition number for polynomials. Zbl 1273.65036 Barrio, Roberto; Jiang, Hao; Serrano, Sergio 4 2013 High-order recurrences satisfied by classical orthogonal polynomials. Zbl 1068.33011 Barrio, R.; Serrano, S. 3 2004 Uncertainty propagation or box propagation. Zbl 1235.65092 Barrio, R.; Rodríguez, M.; Abad, A.; Serrano, S. 3 2011 Modifications of the method of variation of parameters. Zbl 1111.34002 Barrio, Roberto; Serrano, Sergio 2 2006 New contributions to the solution of transport equations in porous media. Zbl 0923.76324 Serrano, S. E.; Adomian, G. 2 1996 Performance of perturbation methods on orbit prediction. Zbl 1145.70300 Barrio, Roberto; Serrano, Sergio 2 2008 Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. II: numerical stability. Zbl 1073.65018 Barrio, R.; Serrano, S. 2 2005 ORTHOPOLY: a library for accurate evaluation of series of classical orthogonal polynomials and their derivatives. Zbl 1498.33009 Barrio, Roberto; Du, Peibing; Jiang, Hao; Serrano, Sergio 2 2018 Is symbolic integration better than numerical integration in satellite dynamics? Zbl 1039.70001 Abad, A.; Elipe, A.; San-Juan, J. F.; Serrano, S. 2 2004 Is there chaos in Copenhagen problem? Zbl 1316.70008 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 2 2007 High-precision continuation of periodic orbits. Zbl 1248.65130 Dena, Ángeles; Rodríguez, Marcos; Serrano, Sergio; Barrio, Roberto 2 2012 Finding periodic orbits in the Hindmarsh-Rose neuron model. Zbl 1348.37036 Martínez, M. Angeles; Barrio, Roberto; Serrano, Sergio 2 2013 Groundwater flow and contaminant transport in aquifers subject to large parameter uncertainty. Zbl 0817.76066 Serrano, S. E. 1 1993 Numerical detection of patterns in CPGs: gait patterns in insect movement. Zbl 1453.92010 Barrio, R.; Lozano, Á.; Rodríguez, M.; Serrano, S. 1 2020 Order in chaos: structure of chaotic invariant sets of square-wave neuron models. Zbl 1460.92038 Serrano, Sergio; Martínez, M. Angeles; Barrio, Roberto 1 2021 Order in chaos: structure of chaotic invariant sets of square-wave neuron models. Zbl 1460.92038 Serrano, Sergio; Martínez, M. Angeles; Barrio, Roberto 1 2021 Spike-adding structure in fold/hom bursters. Zbl 1453.37080 Barrio, R.; Ibáñez, S.; Pérez, L.; Serrano, S. 7 2020 Numerical detection of patterns in CPGs: gait patterns in insect movement. Zbl 1453.92010 Barrio, R.; Lozano, Á.; Rodríguez, M.; Serrano, S. 1 2020 ORTHOPOLY: a library for accurate evaluation of series of classical orthogonal polynomials and their derivatives. Zbl 1498.33009 Barrio, Roberto; Du, Peibing; Jiang, Hao; Serrano, Sergio 2 2018 Coexistence and dynamical connections between hyperchaos and chaos in the 4D Rössler system: a computer-assisted proof. Zbl 1359.37144 Wilczak, Daniel; Serrano, Sergio; Barrio, Roberto 13 2016 When chaos meets hyperchaos: 4D Rössler model. Zbl 1374.34144 Barrio, Roberto; Angeles Martínez, M.; Serrano, Sergio; Wilczak, Daniel 16 2015 Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons. Zbl 1345.34082 Barrio, Roberto; Angeles Martínez, M.; Serrano, Sergio; Shilnikov, Andrey 27 2014 Unbounded dynamics in dissipative flows: Rössler model. Zbl 1345.37031 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 7 2014 A general condition number for polynomials. Zbl 1273.65036 Barrio, Roberto; Jiang, Hao; Serrano, Sergio 4 2013 Finding periodic orbits in the Hindmarsh-Rose neuron model. Zbl 1348.37036 Martínez, M. Angeles; Barrio, Roberto; Serrano, Sergio 2 2013 Behavior patterns in multiparametric dynamical systems: Lorenz model. Zbl 1270.34095 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 9 2012 High-precision continuation of periodic orbits. Zbl 1248.65130 Dena, Ángeles; Rodríguez, Marcos; Serrano, Sergio; Barrio, Roberto 2 2012 Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria. Zbl 1236.65154 Barrio, R.; Blesa, F.; Dena, A.; Serrano, S. 13 2011 Uncertainty propagation or box propagation. Zbl 1235.65092 Barrio, R.; Rodríguez, M.; Abad, A.; Serrano, S. 3 2011 Bifurcations and chaos in Hamiltonian systems. Zbl 1193.65214 Barrio, R.; Blesa, F.; Serrano, S. 12 2010 Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors. Zbl 1173.37049 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 46 2009 Bounds for the chaotic region in the Lorenz model. Zbl 1178.34048 Barrio, Roberto; Serrano, Sergio 15 2009 Periodic, escape and chaotic orbits in the Copenhagen and the \((n + 1)\)-body ring problems. Zbl 1221.70015 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 11 2009 Qualitative analysis of the \((N+1)\)-body ring problem. Zbl 1283.70010 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 10 2008 Performance of perturbation methods on orbit prediction. Zbl 1145.70300 Barrio, Roberto; Serrano, Sergio 2 2008 A three-parametric study of the Lorenz model. Zbl 1120.34322 Barrio, R.; Serrano, S. 22 2007 Is there chaos in Copenhagen problem? Zbl 1316.70008 Barrio, Roberto; Blesa, Fernando; Serrano, Sergio 2 2007 Modifications of the method of variation of parameters. Zbl 1111.34002 Barrio, Roberto; Serrano, Sergio 2 2006 Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms. Zbl 1066.42017 Barrio, R.; Melendo, B.; Serrano, S. 4 2005 Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. II: numerical stability. Zbl 1073.65018 Barrio, R.; Serrano, S. 2 2005 High-order recurrences satisfied by classical orthogonal polynomials. Zbl 1068.33011 Barrio, R.; Serrano, S. 3 2004 Is symbolic integration better than numerical integration in satellite dynamics? Zbl 1039.70001 Abad, A.; Elipe, A.; San-Juan, J. F.; Serrano, S. 2 2004 On the numerical evaluation of linear recurrences. Zbl 1015.65072 Barrio, R.; Melendo, B.; Serrano, S. 6 2003 Stochastic contaminant transport equation in porous media. Zbl 1075.76672 Adomian, G.; Serrano, S. E. 6 1998 New contributions to the solution of transport equations in porous media. Zbl 0923.76324 Serrano, S. E.; Adomian, G. 2 1996 Groundwater flow and contaminant transport in aquifers subject to large parameter uncertainty. Zbl 0817.76066 Serrano, S. E. 1 1993 Semianalytical methods in stochastic groundwater transport. Zbl 0766.76082 Serrano, Sergio E. 4 1992 Random evolution equations in hydrology. Zbl 0699.76110 Serrano, Sergio E.; Unny, T. E. 4 1990 General solution to random advective-dispersive equation in porous media. I: Stochasticity in the sources and in the boundaries. Zbl 0674.76091 Serrano, S. E. 7 1988 General solution to random advective-dispersive equation in porous media. II: Stochasticity in the parameters. Zbl 0674.76090 Serrano, S. E. 5 1988 Semigroup solutions to stochastic unsteady groundwater flow subject to random parameters. Zbl 0658.76098 Serrano, S. E.; Unny, T. E. 11 1987 Boundary element solution of the two-dimensional groundwater flow equation with stochastic free surface boundary condition. Zbl 0692.76086 Serrano, Sergio E.; Unny, T. E. 6 1986 all cited Publications top 5 cited Publications all top 5 Cited by 299 Authors 24 Barrio, Roberto 20 Serrano, Sergio E. 10 Li, Chunbiao 9 Sprott, Julien Clinton 8 Blesa, Fernando 8 Wilczak, Daniel 7 Algaba, Antonio 7 Rodríguez-Luis, Alejandro J. 6 Merino, Manuel 5 Ryashko, Lev Borisovich 4 Bashkirtseva, Irina Adol’fovna 4 Domínguez-Moreno, María C. 4 Du, Peibing 4 Jiang, Hao 4 Kalvouridis, Tilemahos J. 4 Lu, Kai 4 Rodríguez, Marcos 4 Shilnikov, Andrey L. 4 Unny, T. E. 3 Dena, Ángeles 3 Kazakov, Alexey O. 3 Krauskopf, Bernd 3 Kurths, Jürgen 3 Martínez, M. Angeles 3 Osinga, Hinke Maria 3 Rech, Paulo C. 3 Slepukhina, Evdokia S. 3 Xu, Wenjing 3 Zgliczyński, Piotr 2 Abad, Alberto J. 2 Akhmet, Marat Ubaydulla 2 Al-Mdallal, Qasem M. 2 Bailey, David Harold 2 Borwein, Jonathan Michael 2 Chen, Guanrong 2 Cheng, Lizhi 2 Doungmo Goufo, Emile Franc 2 Fen, Mehmet Onur 2 Garashchuk, Ivan R. 2 Hadjifotinou, Katerina G. 2 Khawaja, U. Al 2 Khumalo, Melusi 2 Liu, Zuohua 2 Lu, Tianai 2 Madera, Aleksandr Georgievich 2 Mireles-James, Jason D. 2 Navarro, Juan Francisco 2 Prants, Fabiola G. 2 Pusuluri, Krishna 2 Starkov, Konstantin E. 2 Walawska, Irmina 2 Wang, Zhen 2 Xing, Hongyan 2 Xu, Yujie 2 Yang, Qigui 2 Zotos, Euaggelos E. 1 Aguirre, Pablo 1 Akgul, Akif 1 Al Sakkaf, Laila Y. 1 Alberto Quezada-Téllez, Luis 1 Albuquerque, Holokx A. 1 Ambika, G. 1 Angulo, José Miguel 1 Atangana, Abdon 1 Babaei, Afshin 1 Bakhanova, Yuliya 1 Balochian, Saeed 1 Barge Yáñez, Héctor 1 Bautista, Joshua 1 Beach, Mark 1 Bleuse, Raphaël 1 Borczyk, Wojciech 1 Borisov, Alekseĭ Vladimirovich 1 Boughaba, Soraya 1 Bouvry, Pascal 1 Breiter, Sławomir 1 Budyansky, M. V. 1 Cabral, Fabricio Bandeira 1 Cambraia, E. B. S. A. 1 Cândido, Murilo R. 1 Cao, Hongjun 1 Cao, Shuqian 1 Capinski, Maciej J. 1 Carrillo-Moreno, Salvador 1 Castro, Luísa 1 Čermák, Jan 1 Chang, Yingxiang 1 Chen, Yih-Yuh 1 Cheng, An-Liang 1 Cheng, Yu 1 Christakos, George 1 Chu, Yandong 1 Cialenco, Igor 1 Cincotta, Pablo M. 1 Creaser, Jennifer L. 1 Croustalloudi, Maria N. 1 da Silva, Rodrigo A. 1 Danoy, Grégoire 1 Darriba, L. A. 1 de Carvalho, Maria Pires ...and 199 more Authors all top 5 Cited in 57 Serials 22 Communications in Nonlinear Science and Numerical Simulation 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Chaos 12 Chaos, Solitons and Fractals 12 Applied Mathematics and Computation 8 Stochastic Hydrology and Hydraulics 8 Nonlinear Dynamics 5 Physics Letters. A 4 Physica D 4 Mathematical and Computer Modelling 4 SIAM Journal on Applied Dynamical Systems 3 Computers & Mathematics with Applications 3 Applied Mathematical Modelling 2 Astrophysics and Space Science 2 Computer Physics Communications 2 Physica A 2 Journal of Differential Equations 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Celestial Mechanics and Dynamical Astronomy 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Computational Dynamics 2 Russian Journal of Nonlinear Dynamics 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Earth, Moon, and Planets 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Meccanica 1 Statistics & Probability Letters 1 Journal of Nonlinear Science 1 Complexity 1 Engineering Analysis with Boundary Elements 1 New Journal of Physics 1 Statistical Inference for Stochastic Processes 1 Regular and Chaotic Dynamics 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Nonlinear Dynamics and Systems Theory 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 International Journal of Differential Equations 1 Journal of Theoretical Biology 1 Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 28 Fields 89 Dynamical systems and ergodic theory (37-XX) 75 Ordinary differential equations (34-XX) 37 Numerical analysis (65-XX) 27 Mechanics of particles and systems (70-XX) 27 Biology and other natural sciences (92-XX) 21 Fluid mechanics (76-XX) 12 Partial differential equations (35-XX) 12 Probability theory and stochastic processes (60-XX) 9 Computer science (68-XX) 7 Geophysics (86-XX) 6 Astronomy and astrophysics (85-XX) 5 Relativity and gravitational theory (83-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year