## García-Azpeitia, Carlos

Compute Distance To:
 Author ID: garcia-azpeitia.carlos Published as: García-Azpeitia, Carlos; García-Azpeitia, C.; Garcia-Azpeitia, C. more...less
 Documents Indexed: 33 Publications since 2011 Co-Authors: 25 Co-Authors with 27 Joint Publications 533 Co-Co-Authors
all top 5

### Co-Authors

 6 single-authored 5 Ize, Jorge 5 Krawcewicz, Wieslaw Z. 4 Calleja, Renato C. 4 Lessard, Jean-Philippe 2 Bengochea, Abimael 2 Contreras, Andres A. 2 Craig, Walter 2 Doedel, Eusebius J. 2 Fontaine, Marine 2 Lv, Yanli 2 Mireles-James, Jason D. 2 Tejada-Wriedt, Manuel 1 Balanov, Zalman I. 1 Barrera, Carlos 1 Berezovik, Irina 1 Constantineau, Kevin 1 Eze, Izuchukwu 1 García-Cervera, Carlos J. 1 García-Naranjo, Luis C. 1 Joo, Sookyung 1 Pelinovsky, Dmitry Efimovich 1 Pérez-Chavela, Ernesto 1 Roldán, Pablo 1 Wu, Haopin 1 Yang, Chi-Ru
all top 5

### Serials

 6 Journal of Differential Equations 3 Nonlinearity 3 Celestial Mechanics and Dynamical Astronomy 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Qualitative Theory of Dynamical Systems 2 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Regular and Chaotic Dynamics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Geometric Mechanics
all top 5

### Fields

 20 Dynamical systems and ergodic theory (37-XX) 18 Mechanics of particles and systems (70-XX) 13 Ordinary differential equations (34-XX) 12 Operator theory (47-XX) 9 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 102 times in 58 Documents Cited by Year
Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators. Zbl 1368.70016
García-Azpeitia, C.; Ize, J.
2011
On variational and topological methods in nonlinear difference equations. Zbl 1398.39004
Balanov, Zalman; García-Azpeitia, Carlos; Krawcewicz, Wieslaw
2018
Global bifurcation of planar and spatial periodic solutions from the polygonal relative equilibria for the $$n$$-body problem. Zbl 1279.34051
García-Azpeitia, C.; Ize, J.
2013
Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems. Zbl 1252.37042
García-Azpeitia, C.; Ize, J.
2012
Standing waves in near-parallel vortex filaments. Zbl 1386.35337
Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru
2017
Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the $$n$$-body problem. Zbl 1396.70015
Calleja, Renato; Doedel, Eusebius; García-Azpeitia, Carlos
2018
Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264
García-Azpeitia, C.; Pelinovsky, D. E.
2017
Global bifurcation of planar and spatial periodic solutions in the restricted $$n$$-body problem. Zbl 1270.70037
García-Azpeitia, C.; Ize, J.
2011
Bifurcation of periodic solutions from a ring configuration of discrete nonlinear oscillators. Zbl 1276.34032
García-Azpeitia, Carlos; Ize, Jorge
2013
Choreographies in the $$n$$-vortex problem. Zbl 1415.37077
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos
2018
Global bifurcation of vortex and dipole solutions in Bose-Einstein condensates. (Bifurcation globale des solutions de type “vortex” et “dipôle” dans les condensats de Bose-Einstein.) Zbl 1387.35548
Contreras, Andres; García-Azpeitia, Carlos
2016
Relative periodic solutions of the $$n$$-vortex problem on the sphere. Zbl 1433.37054
García-Azpeitia, Carlos
2019
Standing waves in a counter-rotating vortex filament pair. Zbl 1382.35032
García-Azpeitia, Carlos
2018
The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field. Zbl 1346.82040
Contreras, A.; Garcia-Azpeitia, C.; García-Cervera, C. J.; Joo, S.
2016
Traveling and standing waves in coupled pendula and Newton’s cradle. Zbl 1364.34057
García-Azpeitia, Carlos
2016
Torus knot choreographies in the $$n$$-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
Braids of the $$N$$-body problem. I: Cabling a body in a central configuration. Zbl 1479.70029
Fontaine, Marine; García-Azpeitia, Carlos
2021
Molecular chains interacting by Lennard-Jones and Coulomb forces. Zbl 1417.70012
2017
Symmetries of nonlinear vibrations in tetrahedral molecular configurations. Zbl 1458.37058
Berezovik, Irina; García-Azpeitia, Carlos; Krawcewicz, Wieslaw
2019
Standing waves of fixed period for $$n+1$$ vortex filaments. Zbl 1452.35027
Craig, Walter; García-Azpeitia, Carlos
2020
Torus knot choreographies in the $$n$$-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
Braids of the $$N$$-body problem. I: Cabling a body in a central configuration. Zbl 1479.70029
Fontaine, Marine; García-Azpeitia, Carlos
2021
Standing waves of fixed period for $$n+1$$ vortex filaments. Zbl 1452.35027
Craig, Walter; García-Azpeitia, Carlos
2020
Relative periodic solutions of the $$n$$-vortex problem on the sphere. Zbl 1433.37054
García-Azpeitia, Carlos
2019
Symmetries of nonlinear vibrations in tetrahedral molecular configurations. Zbl 1458.37058
Berezovik, Irina; García-Azpeitia, Carlos; Krawcewicz, Wieslaw
2019
On variational and topological methods in nonlinear difference equations. Zbl 1398.39004
Balanov, Zalman; García-Azpeitia, Carlos; Krawcewicz, Wieslaw
2018
Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the $$n$$-body problem. Zbl 1396.70015
Calleja, Renato; Doedel, Eusebius; García-Azpeitia, Carlos
2018
Choreographies in the $$n$$-vortex problem. Zbl 1415.37077
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos
2018
Standing waves in a counter-rotating vortex filament pair. Zbl 1382.35032
García-Azpeitia, Carlos
2018
Standing waves in near-parallel vortex filaments. Zbl 1386.35337
Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru
2017
Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264
García-Azpeitia, C.; Pelinovsky, D. E.
2017
Molecular chains interacting by Lennard-Jones and Coulomb forces. Zbl 1417.70012
2017
Global bifurcation of vortex and dipole solutions in Bose-Einstein condensates. (Bifurcation globale des solutions de type “vortex” et “dipôle” dans les condensats de Bose-Einstein.) Zbl 1387.35548
Contreras, Andres; García-Azpeitia, Carlos
2016
The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field. Zbl 1346.82040
Contreras, A.; Garcia-Azpeitia, C.; García-Cervera, C. J.; Joo, S.
2016
Traveling and standing waves in coupled pendula and Newton’s cradle. Zbl 1364.34057
García-Azpeitia, Carlos
2016
Global bifurcation of planar and spatial periodic solutions from the polygonal relative equilibria for the $$n$$-body problem. Zbl 1279.34051
García-Azpeitia, C.; Ize, J.
2013
Bifurcation of periodic solutions from a ring configuration of discrete nonlinear oscillators. Zbl 1276.34032
García-Azpeitia, Carlos; Ize, Jorge
2013
Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems. Zbl 1252.37042
García-Azpeitia, C.; Ize, J.
2012
Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators. Zbl 1368.70016
García-Azpeitia, C.; Ize, J.
2011
Global bifurcation of planar and spatial periodic solutions in the restricted $$n$$-body problem. Zbl 1270.70037
García-Azpeitia, C.; Ize, J.
2011
all top 5

### Cited by 77 Authors

 24 García-Azpeitia, Carlos 5 Krawcewicz, Wieslaw Z. 4 Calleja, Renato C. 4 Lessard, Jean-Philippe 4 Zhou, Zhan 3 Ize, Jorge 3 Lv, Yanli 2 Bengochea, Abimael 2 Craig, Walter 2 Dabkowski, Mieczysław K. 2 Doedel, Eusebius J. 2 Fontaine, Marine 2 Lin, Genghong 2 Mireles-James, Jason D. 2 Pelinovsky, Dmitry Efimovich 2 Tejada-Wriedt, Manuel 2 Wu, Haopin 2 Yu, Jian-She 2 Zhang, Qinqin 1 Arbunich, Jack 1 Balanov, Zalman I. 1 Barrera, Carlos 1 Bartsch, Thomas J. 1 Bonnard, Bernard 1 Buttà, Paolo 1 Chen, Tianlan 1 Church, Kevin E. M. 1 Constantineau, Kevin 1 Cots, Olivier 1 de la Llave, Rafael 1 Du, Sijia 1 Erbe, Lynn Harry 1 Fortin, Clement 1 García-Naranjo, Luis C. 1 Garcia, Claudia I. 1 Gebhard, Björn 1 Gerard, Patrick 1 Germain, Pierre 1 Henderson, Johnny Lee 1 Hu, Linxia 1 Jerrard, Robert Leon 1 Jia, Baoguo 1 Kevrekidis, Panayotis G. 1 Kim, Soojung 1 Kogelbauer, Florian 1 Koiller, Jair 1 Kowalczyk, Marta 1 Kwiecinski, James A. 1 Li, Liuming 1 Li, Shengjun 1 Liang, Yongwen 1 Ling, Jiaoxiu 1 Liu, Chungen 1 Luca, Rodica 1 Ma, Ruyun 1 Marchioro, Carlo 1 Mei, Peng 1 Nenciu, Irina 1 Pan, Xingbin 1 Pérez-Chavela, Ernesto 1 Pichi, Federico 1 Quaini, Annalisa 1 Roldán, Pablo 1 Rozza, Gianluigi 1 Sacchetti, Andrea 1 Smets, Didier 1 Sparber, Christof 1 Thomann, Laurent 1 van Gorder, Robert Ashton 1 Wang, Qun 1 Wembe, Boris 1 Yang, Chi-Ru 1 Yang, Xue 1 Zhang, Fang 1 Zhao, Xiaopeng 1 Zhou, Benxing 1 Zhou, Yong
all top 5

### Cited in 37 Serials

 5 Journal of Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Nonlinear Science 3 Journal of Difference Equations and Applications 3 SIAM Journal on Applied Dynamical Systems 2 Communications in Mathematical Physics 2 Nonlinearity 2 Journal of Dynamics and Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Discrete Dynamics in Nature and Society 2 Qualitative Theory of Dynamical Systems 2 Communications on Pure and Applied Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Fluid Mechanics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Milan Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Geometric Mechanics 1 Journal of Applied Analysis and Computation 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

### Cited in 21 Fields

 25 Dynamical systems and ergodic theory (37-XX) 19 Mechanics of particles and systems (70-XX) 17 Partial differential equations (35-XX) 14 Ordinary differential equations (34-XX) 14 Difference and functional equations (39-XX) 13 Fluid mechanics (76-XX) 11 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)