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Author ID: serrano.sergio-e Recent zbMATH articles by "Serrano, Sergio E."
Published as: Serrano, Sergio; Serrano, S. E.; Serrano, Sergio E.; Serrano, S.
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

Publications by Year

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 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

Citations by Year