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Author ID: ibanez.santiago Recent zbMATH articles by "Ibáñez, Santiago"
Published as: Ibáñez, Santiago; Ibáñez, S.; Ibánez, Santiago
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 189 times in 103 Documents Cited by Year
About the unfolding of a Hopf-zero singularity. Zbl 1283.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles
25
2013
New aspects in the unfolding of the nilpotent singularity of codimension three. Zbl 0993.37026
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi
23
2001
Coupling leads to chaos. Zbl 1133.34027
Drubi, Fátima; Ibáñez, Santiago; Rodríguez, J. ángel
21
2007
Cocoon bifurcation in three-dimensional reversible vector fields. Zbl 1107.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi
21
2006
Shil’nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on \(\mathbb R^3\). Zbl 1080.34029
Ibáñez, S.; Rodríguez, J. A.
17
2005
Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields. Zbl 0865.58032
Dumortier, F.; Ibáñez, S.
15
1996
Singularities of vector fields on \(\mathbb{R}^3\). Zbl 0907.58051
Dumortier, F.; Ibáñez, S.
15
1998
Hopf-zero singularities truly unfold chaos. Zbl 1452.37042
Baldomá, Immaculada; Ibáñez, S.; Seara, T. M.
13
2020
Sil’nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity. Zbl 0839.34050
Ibáñez, S.; Rodríguez, J. A.
9
1995
Heteroclinic cycles arising in generic unfoldings of nilpotent singularities. Zbl 1242.34079
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel
9
2011
Spike-adding structure in fold/hom bursters. Zbl 1453.37080
Barrio, R.; Ibáñez, S.; Pérez, L.; Serrano, S.
8
2020
On the dynamics near a homoclinic network to a bifocus: switching and horseshoes. Zbl 1327.34078
Ibáñez, Santiago; Rodrigues, Alexandre
7
2015
Robust cycles unfolding from conservative bifocal homoclinic orbits. Zbl 1380.37044
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel
5
2016
Hopf-pitchfork singularities in coupled systems. Zbl 1220.37042
Drubi, Fátima; Ibáñez, Santiago; Rodríguez, J. Ángel
4
2011
On the steady-state thermal response of slender geothermal boreholes. Zbl 1393.35242
Ibáñez, Santiago; Hermanns, Miguel
3
2018
Emergence of chaotic dynamics from singularities. Paper from the 32nd Brazilian mathematics colloquium – 32°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, July 28 – August 2, 2019. Zbl 1507.37047
Barrientos, Pablo G.; Ibáñez, Santiago; Rodrigues, Alexandre A.; Rodríguez, J. Ángel
3
2019
Singularities and chaos in coupled systems. Zbl 1153.37018
Drubi, Fátima; Ibánez, Santiago; Rodríguez, J. Ángel
3
2008
Homoclinic organization in the Hindmarsh-rose model: a three parameter study. Zbl 1437.92021
Barrio, Roberto; Ibáñez, Santiago; Pérez, Lucía
2
2020
Codimension 4 singularities of reflectionally symmetric planar vector fields. Zbl 0964.58034
Dumortier, F.; Ibáñez, S.
2
1999
A formal classification of Hopf-Bogdanov-Takens singularities of codimension three. Zbl 1426.58011
Drubi, Fátima; Ibáñez, Santiago; Rivela, David
1
2019
Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities. Zbl 1471.37051
Drubi, Fátima; Ibáñez, Santiago; Rivela, David
1
2020
Thermal response of slender geothermal boreholes to subannual harmonic excitations. Zbl 1409.34054
Hermanns, Miguel; Ibáñez, Santiago
1
2019
Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Zbl 1275.37001
1
2013
Nilpotent singularities and chaos: tritrophic food chains. Zbl 1496.92089
Drubi, Fátima; Ibáñez, Santiago; Pilarczyk, Paweł
1
2021
Nilpotent singularities and chaos: tritrophic food chains. Zbl 1496.92089
Drubi, Fátima; Ibáñez, Santiago; Pilarczyk, Paweł
1
2021
Hopf-zero singularities truly unfold chaos. Zbl 1452.37042
Baldomá, Immaculada; Ibáñez, S.; Seara, T. M.
13
2020
Spike-adding structure in fold/hom bursters. Zbl 1453.37080
Barrio, R.; Ibáñez, S.; Pérez, L.; Serrano, S.
8
2020
Homoclinic organization in the Hindmarsh-rose model: a three parameter study. Zbl 1437.92021
Barrio, Roberto; Ibáñez, Santiago; Pérez, Lucía
2
2020
Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities. Zbl 1471.37051
Drubi, Fátima; Ibáñez, Santiago; Rivela, David
1
2020
Emergence of chaotic dynamics from singularities. Paper from the 32nd Brazilian mathematics colloquium – 32°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, July 28 – August 2, 2019. Zbl 1507.37047
Barrientos, Pablo G.; Ibáñez, Santiago; Rodrigues, Alexandre A.; Rodríguez, J. Ángel
3
2019
A formal classification of Hopf-Bogdanov-Takens singularities of codimension three. Zbl 1426.58011
Drubi, Fátima; Ibáñez, Santiago; Rivela, David
1
2019
Thermal response of slender geothermal boreholes to subannual harmonic excitations. Zbl 1409.34054
Hermanns, Miguel; Ibáñez, Santiago
1
2019
On the steady-state thermal response of slender geothermal boreholes. Zbl 1393.35242
Ibáñez, Santiago; Hermanns, Miguel
3
2018
Robust cycles unfolding from conservative bifocal homoclinic orbits. Zbl 1380.37044
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel
5
2016
On the dynamics near a homoclinic network to a bifocus: switching and horseshoes. Zbl 1327.34078
Ibáñez, Santiago; Rodrigues, Alexandre
7
2015
About the unfolding of a Hopf-zero singularity. Zbl 1283.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles
25
2013
Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Zbl 1275.37001
1
2013
Heteroclinic cycles arising in generic unfoldings of nilpotent singularities. Zbl 1242.34079
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel
9
2011
Hopf-pitchfork singularities in coupled systems. Zbl 1220.37042
Drubi, Fátima; Ibáñez, Santiago; Rodríguez, J. Ángel
4
2011
Singularities and chaos in coupled systems. Zbl 1153.37018
Drubi, Fátima; Ibánez, Santiago; Rodríguez, J. Ángel
3
2008
Coupling leads to chaos. Zbl 1133.34027
Drubi, Fátima; Ibáñez, Santiago; Rodríguez, J. ángel
21
2007
Cocoon bifurcation in three-dimensional reversible vector fields. Zbl 1107.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi
21
2006
Shil’nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on \(\mathbb R^3\). Zbl 1080.34029
Ibáñez, S.; Rodríguez, J. A.
17
2005
New aspects in the unfolding of the nilpotent singularity of codimension three. Zbl 0993.37026
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi
23
2001
Codimension 4 singularities of reflectionally symmetric planar vector fields. Zbl 0964.58034
Dumortier, F.; Ibáñez, S.
2
1999
Singularities of vector fields on \(\mathbb{R}^3\). Zbl 0907.58051
Dumortier, F.; Ibáñez, S.
15
1998
Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields. Zbl 0865.58032
Dumortier, F.; Ibáñez, S.
15
1996
Sil’nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity. Zbl 0839.34050
Ibáñez, S.; Rodríguez, J. A.
9
1995
all top 5

Cited by 131 Authors

12 Ibáñez, Santiago
12 Rodrigues, Alexandre A. P.
8 Rodríguez-Luis, Alejandro J.
7 Algaba, Antonio
7 Zhang, Chunrui
6 Fernández-Sánchez, Fernando
6 Rodríguez, José Angel
6 Zheng, Baodong
5 Drubi, Fátima
5 Freire Macías, Emilio
4 Barrientos, Pablo G.
4 Carmona, Victoriano
4 Gamero, Estanislao
4 García-Medina, Elisabeth
4 Labouriau, Isabel S.
4 Lamb, Jeroen S. W.
4 Llibre, Jaume
4 M-Seara, Tere
4 Simó, Carles
3 Barrio, Roberto
3 Castejón, Oriol
3 Merino, Manuel
3 Miguel, Narcís
3 Turaev, Dmitry V.
3 Vieiro, Arturo
3 Webster, Kevin N.
2 Gazor, Majid
2 Guo, Shangjiang
2 Hermanns, Miguel
2 Knobloch, Jürgen
2 Liu, Xingbo
2 Pilarczyk, Paweł
2 Rivela, David
2 Teixeira, Marco Antonio
2 Teruel, Antonio E.
2 Wu, Tiantian
2 Yagasaki, Kazuyuki
2 Yang, Xiaosong
1 Acosta Humánez, Primitivo Belén
1 Afraimovich, Valentin S.
1 Aguirre, Pablo
1 Akhmet, Marat Ubaydulla
1 Alonso, Diego M.
1 Arai, Zin
1 Arrowsmith, David K.
1 Bai, Yuzhen
1 Bakrani, Sajjad
1 Baldomá, Immaculada
1 Bashkirtseva, Irina Adol’fovna
1 Bessa, Mário
1 Bonckaert, Patrick
1 Boussaada, Islam
1 Cai, Yuting
1 Carrillo, Francisco A.
1 Carrillo, Martin A.
1 Castro, Luísa
1 Chen, Yuming
1 Cheng, Chang-Yuan
1 Chung, Kwok-Wai
1 de Carvalho, Tiago
1 Diz-Pita, Érika
1 Dumortier, Freddy
1 Euzébio, Rodrigo D.
1 Fen, Mehmet Onur
1 Fernández-García, Soledad
1 Gomide, Otávio M. L.
1 Gonchenko, Aleksandr Sergeevich
1 Gonchenko, Sergey V.
1 González-Olivares, Eduardo
1 González-Santander, Juan Luis
1 Göz, Manfred F.
1 He, Yigang
1 Kertész, Viktor
1 Kokubu, Hiroshi
1 Korotkov, Aleksandr Gennad’evich
1 Kügler, Philipp
1 Larsen, Jens Christian
1 León de la Barra, Guillermo
1 León de la Barra, Mario
1 Lerman, Lev
1 Li, Hongpeng
1 Li, Xindan
1 Liu, Haifei
1 Martínez, M. Angeles
1 Meiss, James D.
1 Moiola, Jorge Luis
1 Mokhtari, Fahimeh
1 Morărescu, Irinel-Constantin
1 Niculescu, Silviu-Iulian
1 Nijholt, Eddie
1 Oliveira, Regilene D. S.
1 Otero-Espinar, Maria Victoria
1 Paolini, Eduardo E.
1 Pavlova, Natalia G.
1 Peixe, Telmo
1 Pereira, Tiago Leite
1 Pérez, Lucía
1 Qin, Bo-Wei
1 Queiroz, Fernando C.
1 Raibekas, Artem
...and 31 more Authors
all top 5

Cited in 42 Serials

16 Journal of Differential Equations
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Dynamics and Differential Equations
4 Nonlinearity
4 Physica D
4 Chaos
4 Communications in Nonlinear Science and Numerical Simulation
4 Nonlinear Analysis. Real World Applications
4 SIAM Journal on Applied Dynamical Systems
3 Discrete and Continuous Dynamical Systems
3 Regular and Chaotic Dynamics
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. A
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Computation
2 SIAM Journal on Applied Mathematics
2 Journal of Nonlinear Science
2 Nonlinear Dynamics
2 Dynamical Systems
1 Communications in Mathematical Physics
1 Journal of Engineering Mathematics
1 Journal of Geometry and Physics
1 Journal of Computational and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Systems & Control Letters
1 Mathematical and Computer Modelling
1 Japan Journal of Industrial and Applied Mathematics
1 Applied Mathematical Modelling
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 Izvestiya: Mathematics
1 Abstract and Applied Analysis
1 Discrete Dynamics in Nature and Society
1 Acta Mathematica Sinica. English Series
1 Nonlinear Analysis. Modelling and Control
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Advances in Difference Equations
1 Journal of Singularities
1 Journal of Applied Analysis and Computation

Citations by Year