## Peralta-Salas, Daniel

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 Author ID: peralta-salas.daniel Published as: Peralta-Salas, Daniel; Peralta-Salas, D.; Peralta Salas, D.; Peralta-Salas External Links: MGP · Wikidata
 Documents Indexed: 91 Publications since 1999 1 Contribution as Editor · 1 Further Contribution Co-Authors: 47 Co-Authors with 89 Joint Publications 1,327 Co-Co-Authors
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### Co-Authors

 4 single-authored 43 Enciso, Alberto 17 Gonzalez-Gascon, Francisco 5 Luque, Alejandro 4 Khesin, Boris A. 3 García-Ferrero, Maria Ángeles 3 Giné, Jaume 3 Torres de Lizaur, Francisco 2 Aguirre, Jacobo 2 Díaz-Cano, Antonio 2 Domínguez-Vázquez, Miguel 2 Kuksin, Sergeĭ B. 2 Magnanini, Rolando 2 Mañosas, Francesc 2 Pelayo, Alvaro 2 Yang, Cheng 1 Bianchini, Chiara 1 Cabré, Xavier 1 Campoamor-Stursberg, Rutwig 1 Cánovas, Jose S. 1 Cardona, Robert 1 de León Rodríguez, Manuel 1 del Pino, Álvaro 1 Espín Buendía, José Ginés 1 Feng, Wei 1 Feng, Zhaosheng 1 Grau, Maite 1 Hector, Gilbert 1 Henrot, Antoine 1 Irvine, William T. M. 1 Jiménez López, Víctor 1 Kedia, Hridesh 1 Linero Bas, Antonio 1 Llibre, Jaume 1 López-Gómez, Julián 1 Lu, Xin 1 Luca, Renato 1 Margalef-Bentabol, Juan 1 Martell, José María (Chema) 1 Miranda, Eva 1 Parcet, Javier 1 Presas, Francisco 1 Rechtman, Ana 1 Reichel, Wolfgang 1 Romaniega, Álvaro 1 Romera, Miguel 1 Ruan, Weihua 1 Ruiz, Jesús M. 1 Sakaguchi, Shigeru 1 Shahgholian, Henrik 1 Slobodeanu, Radu 1 Soler López, Gabriel 1 Steinerberger, Stefan
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### Serials

 6 Journal of Differential Equations 5 Journal of Mathematical Physics 5 Advances in Mathematics 4 Journal of Mathematical Analysis and Applications 4 Physics Letters. A 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Physica D 4 IMRN. International Mathematics Research Notices 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Ergodic Theory and Dynamical Systems 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Differential Geometry 2 Transactions of the American Mathematical Society 2 Journal of Physics A: Mathematical and General 2 Discrete and Continuous Dynamical Systems 1 International Journal of Non-Linear Mechanics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Nonlinear Science 1 European Mathematical Society Newsletter 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 La Gaceta de la Real Sociedad Matemática Española 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Geometry and Symmetry in Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 S$$\vec{\text{e}}$$MA Journal 1 EMS Surveys in Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 35 Partial differential equations (35-XX) 31 Dynamical systems and ergodic theory (37-XX) 19 Ordinary differential equations (34-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Fluid mechanics (76-XX) 14 Optics, electromagnetic theory (78-XX) 13 Differential geometry (53-XX) 10 Manifolds and cell complexes (57-XX) 6 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 396 times in 253 Documents Cited by Year
Knots and links in steady solutions of the Euler equation. Zbl 1238.35092
Enciso, Alberto; Peralta-Salas, Daniel
2012
Existence of knotted vortex tubes in steady Euler flows. Zbl 1317.35184
Enciso, Alberto; Peralta-Salas, Daniel
2015
Can two chaotic systems give rise to order? Zbl 1064.37025
Almeida, J.; Peralta-Salas, D.; Romera, M.
2005
Existence and vanishing set of inverse integrating factors for analytic vector fields. Zbl 1192.34038
Enciso, Alberto; Peralta-Salas, Daniel
2009
Dynamic Parrondo’s paradox. Zbl 1111.37030
Cánovas, J. S.; Linero, A.; Peralta-Salas, D.
2006
Existence of inverse integrating factors and Lie symmetries for degenerate planar centers. Zbl 1298.34026
Giné, Jaume; Peralta-Salas, Daniel
2012
Beltrami fields with a nonconstant proportionality factor are rare. Zbl 1365.35119
Enciso, Alberto; Peralta-Salas, Daniel
2016
Symmetry for an overdetermined boundary problem in a punctured domain. Zbl 1152.35523
Enciso, Alberto; Peralta-Salas, Daniel
2009
Helicity is the only integral invariant of volume-preserving transformations. Zbl 1359.58006
Enciso, Alberto; Peralta-Salas, Daniel; Torres de Lizaur, Francisco
2016
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2014
Critical points of Green’s functions on complete manifolds. Zbl 1278.53042
Enciso, Alberto; Peralta-Salas, Daniel
2012
Knotted structures in high-energy Beltrami fields on the torus and the sphere. (Structures nouées dans les champs de Beltrami à hautes énergies sur le tore et la sphère.) Zbl 1379.35226
Enciso, Alberto; Peralta-Salas, Daniel; Torres de Lizaur, Francisco
2017
Critical points and level sets in exterior boundary problems. Zbl 1181.35036
Enciso, Alberto; Peralta-Salas, Daniel
2009
Eigenfunctions with prescribed nodal sets. Zbl 1328.53046
Enciso, Alberto; Peralta-Salas, Daniel
2015
Submanifolds that are level sets of solutions to a second-order elliptic PDE. Zbl 1296.35031
Enciso, Alberto; Peralta-Salas, Daniel
2013
Vortex reconnection in the three dimensional Navier-Stokes equations. Zbl 1381.35117
Enciso, Alberto; Lucà, Renato; Peralta-Salas, Daniel
2017
Selected topics on the topology of ideal fluid flows. Zbl 1469.76011
Peralta-Salas, Daniel
2016
On the first integrals of Lotka-Volterra systems. Zbl 0948.34025
Gonzalez-Gascon, F.; Peralta-Salas, D.
2000
Note on a paper of J. Llibre and G. Rodríguez concerning algebraic limit cycles. Zbl 1086.34029
Peralta-Salas, D.
2005
Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds. Zbl 1286.58021
Enciso, Alberto; Peralta-Salas, Daniel
2012
Period function and normalizers of vector fields in $$\mathbb R^n$$ with $$n - 1$$ first integrals. Zbl 1159.34036
Peralta-Salas, D.
2008
Bounded solutions to the Allen-Cahn equation with level sets of any compact topology. Zbl 1354.35026
Enciso, Alberto; Peralta-Salas, Daniel
2016
Escape to infinity in a Newtonian potential. Zbl 0977.34028
Gascon, F. G.; Peralta-Salas, D.
2000
A note on linear differential equations with periodic coefficients. Zbl 1180.34048
Grau, Maite; Peralta-Salas, Daniel
2009
Geometrical and topological aspects of electrostatics on Riemannian manifolds. Zbl 1120.53045
Enciso, Alberto; Peralta-Salas, Daniel
2007
Attractors and symmetries of vector fields: the inverse problem. Zbl 1143.37019
González-Gascón, F.; Peralta-Salas, D.
2007
Approximation theorems for the Schrödinger equation and quantum vortex reconnection. Zbl 1479.35784
Enciso, Alberto; Peralta-Salas, Daniel
2021
When do knots in light stay knotted? Zbl 1383.78018
Kedia, Hridesh; Peralta-Salas, Daniel; Irvine, William T. M.
2018
Integrability of magnetic fields created by current distributions. Zbl 1137.34021
Aguirre, J.; Giné, J.; Peralta-Salas, D.
2008
Stationary isothermic surfaces in Euclidean 3-space. Zbl 1342.35131
Magnanini, Rolando; Peralta-Salas, Daniel; Sakaguchi, Shigeru
2016
Approximation theorems for parabolic equations and movement of local hot spots. Zbl 1412.35158
Enciso, Alberto; García-Ferrero, Maria Ángeles; Peralta-Salas, Daniel
2019
The Biot-Savart operator of a bounded domain. Zbl 1403.35234
Enciso, Alberto; García-Ferrero, M. Ángeles; Peralta-Salas, Daniel
2018
Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities. Zbl 1418.35280
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel
2019
Ordered behaviour in force-free magnetic fields. Zbl 0995.78006
Gonzalez-Gascon, F.; Peralta-Salas, D.
2001
Motion of charged particles in magnetic fields created by symmetric configurations of wires. Zbl 1186.37103
Aguirre, Jacobo; Luque, Alejandro; Peralta-Salas, Daniel
2010
Some properties of the magnetic fields generated by symmetric configurations of wires. Zbl 1066.78004
Gascon, F. G.; Peralta-Salas, D.
2005
Integrable embeddings and foliations. Zbl 1257.57032
Hector, Gilbert; Peralta-Salas; Daniel
2012
Motion of charged particles in ABC magnetic fields. Zbl 1284.34080
Luque, Alejandro; Peralta-Salas, Daniel
2013
Knotted vortex lines and vortex tubes in stationary fluid flows. Zbl 1321.35182
Enciso, Alberto; Peralta-Salas, Daniel
2015
Escape to infinity under the action of a potential and a constant electromagnetic field. Zbl 1094.70509
Gascon, F. G.; Peralta-Salas, D.
2003
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2020
Motion of a charge in the magnetic field created by wires: impossibility of reaching the wires. Zbl 1123.78303
Gascón, F. G.; Peralta-Salas, D.
2004
Arnold diffusion of charged particles in ABC magnetic fields. Zbl 1408.37102
Luque, Alejandro; Peralta-Salas, Daniel
2017
Dislocations of arbitrary topology in Coulomb eigenfunctions. Zbl 1400.35011
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel
2018
Foliated vector fields without periodic orbits. Zbl 1361.57035
Peralta-Salas, Daniel; del Pino, Álvaro; Presas, Francisco
2016
On the construction of global coordinate systems in Euclidean spaces. Zbl 1137.58305
Gascon, F. G.; Peralta-Salas, D.
2004
Global attractors of analytic plane flows. Zbl 1177.37030
López, Víctor Jiménez; Peralta-Salas, Daniel
2009
A symmetry result for the $$p$$-Laplacian in a punctured manifold. Zbl 1173.35010
Enciso, Alberto; Peralta-Salas, Daniel
2009
Symmetries and first integrals of divergence-free $$\mathbb R^3$$ vector fields. Zbl 1068.76537
Gonzalez Gascon, F.; Peralta Salas, D.
2000
A note on the first integrals of vector fields with integrating factors and normalizers. Zbl 1247.34002
Llibre, Jaume; Peralta-Salas, Daniel
2012
Classical and quantum integrability of hamiltonians without scattering states. Zbl 1177.81058
Enciso, A.; Peralta-Salas, D.
2006
Stationary phase methods and the splitting of separatrices. Zbl 1416.34036
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel
2019
Dynamical systems embedded into Lie algebras. Zbl 1027.34045
Campoamor-Stursberg, O. R.; Gascon, F. G.; Peralta-Salas, D.
2001
Some geometric conjectures in harmonic function theory. Zbl 1262.31002
Enciso, Alberto; Peralta-Salas, Daniel
2013
A characterization of 3D steady Euler flows using commuting zero-flux homologies. Zbl 1468.35122
Peralta-Salas, Daniel; Rechtman, Ana; Torres De Lizaur, Francisco
2021
Euler flows and singular geometric structures. Zbl 1462.76048
Cardona, Robert; Miranda, Eva; Peralta-Salas, Daniel
2019
A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator. Zbl 1421.35011
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel
2018
Minimal graphs with micro-oscillations. Zbl 1412.35088
Enciso, Alberto; García-Ferrero, M. Ángeles; Peralta-Salas, Daniel
2018
Existence of knotted vortex structures in stationary solutions of the Euler equations. Zbl 1402.35214
Enciso, Alberto; Peralta-Salas, Daniel
2018
A problem of Ulam about magnetic fields generated by knotted wires. Zbl 1418.37127
Enciso, Alberto; Peralta-Salas, Daniel
2019
On scattering trajectories of dynamical systems. Zbl 1112.37050
Díaz-Cano, A.; González-Gascón, F.; Peralta-Salas, D.
2006
Laplace operators with eigenfunctions whose nodal set is a knot. Zbl 1357.58030
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel
2016
Critical points and geometric properties of Green’s functions on open surfaces. Zbl 1330.35091
Enciso, Alberto; Peralta-Salas, Daniel
2015
Energy minimizing Beltrami fields on Sasakian 3-manifolds. Zbl 1478.53089
Peralta-Salas, Daniel; Slobodeanu, Radu
2021
A basis of Casimirs in 3D magnetohydrodynamics. Zbl 07456406
Khesin, Boris; Peralta-Salas, Daniel; Yang, Cheng
2021
Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori. Zbl 07243327
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel
2020
Note on the Markus–Yamabe conjecture for gradient dynamical systems. Zbl 1104.34039
Mañosas, F.; Peralta-Salas, D.
2006
Morse-type inequalities for dynamical systems and the Witten Laplacian. Zbl 1138.37012
Enciso, Alberto; Peralta-Salas, Daniel
2008
Addendum to: “Geometrical and topological aspects of electrostatics on Riemannian manifolds” [J. Geom. Phys. 57 (8) (2007) 1679-1696]. Zbl 1151.53355
Enciso, Alberto; Peralta-Salas, Daniel
2008
Invariant sets of second order differential equations. Zbl 1161.34334
Gascon, F. G.; Peralta-Salas, D.
2004
Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems. Zbl 1462.35266
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel
2021
Approximation theorems for the Schrödinger equation and quantum vortex reconnection. Zbl 1479.35784
Enciso, Alberto; Peralta-Salas, Daniel
2021
A characterization of 3D steady Euler flows using commuting zero-flux homologies. Zbl 1468.35122
Peralta-Salas, Daniel; Rechtman, Ana; Torres De Lizaur, Francisco
2021
Energy minimizing Beltrami fields on Sasakian 3-manifolds. Zbl 1478.53089
Peralta-Salas, Daniel; Slobodeanu, Radu
2021
A basis of Casimirs in 3D magnetohydrodynamics. Zbl 07456406
Khesin, Boris; Peralta-Salas, Daniel; Yang, Cheng
2021
Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems. Zbl 1462.35266
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel
2021
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2020
Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori. Zbl 07243327
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel
2020
Approximation theorems for parabolic equations and movement of local hot spots. Zbl 1412.35158
Enciso, Alberto; García-Ferrero, Maria Ángeles; Peralta-Salas, Daniel
2019
Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities. Zbl 1418.35280
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel
2019
Stationary phase methods and the splitting of separatrices. Zbl 1416.34036
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel
2019
Euler flows and singular geometric structures. Zbl 1462.76048
Cardona, Robert; Miranda, Eva; Peralta-Salas, Daniel
2019
A problem of Ulam about magnetic fields generated by knotted wires. Zbl 1418.37127
Enciso, Alberto; Peralta-Salas, Daniel
2019
When do knots in light stay knotted? Zbl 1383.78018
Kedia, Hridesh; Peralta-Salas, Daniel; Irvine, William T. M.
2018
The Biot-Savart operator of a bounded domain. Zbl 1403.35234
Enciso, Alberto; García-Ferrero, M. Ángeles; Peralta-Salas, Daniel
2018
Dislocations of arbitrary topology in Coulomb eigenfunctions. Zbl 1400.35011
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel
2018
A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator. Zbl 1421.35011
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel
2018
Minimal graphs with micro-oscillations. Zbl 1412.35088
Enciso, Alberto; García-Ferrero, M. Ángeles; Peralta-Salas, Daniel
2018
Existence of knotted vortex structures in stationary solutions of the Euler equations. Zbl 1402.35214
Enciso, Alberto; Peralta-Salas, Daniel
2018
Knotted structures in high-energy Beltrami fields on the torus and the sphere. (Structures nouées dans les champs de Beltrami à hautes énergies sur le tore et la sphère.) Zbl 1379.35226
Enciso, Alberto; Peralta-Salas, Daniel; Torres de Lizaur, Francisco
2017
Vortex reconnection in the three dimensional Navier-Stokes equations. Zbl 1381.35117
Enciso, Alberto; Lucà, Renato; Peralta-Salas, Daniel
2017
Arnold diffusion of charged particles in ABC magnetic fields. Zbl 1408.37102
Luque, Alejandro; Peralta-Salas, Daniel
2017
Beltrami fields with a nonconstant proportionality factor are rare. Zbl 1365.35119
Enciso, Alberto; Peralta-Salas, Daniel
2016
Helicity is the only integral invariant of volume-preserving transformations. Zbl 1359.58006
Enciso, Alberto; Peralta-Salas, Daniel; Torres de Lizaur, Francisco
2016
Selected topics on the topology of ideal fluid flows. Zbl 1469.76011
Peralta-Salas, Daniel
2016
Bounded solutions to the Allen-Cahn equation with level sets of any compact topology. Zbl 1354.35026
Enciso, Alberto; Peralta-Salas, Daniel
2016
Stationary isothermic surfaces in Euclidean 3-space. Zbl 1342.35131
Magnanini, Rolando; Peralta-Salas, Daniel; Sakaguchi, Shigeru
2016
Foliated vector fields without periodic orbits. Zbl 1361.57035
Peralta-Salas, Daniel; del Pino, Álvaro; Presas, Francisco
2016
Laplace operators with eigenfunctions whose nodal set is a knot. Zbl 1357.58030
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel
2016
Existence of knotted vortex tubes in steady Euler flows. Zbl 1317.35184
Enciso, Alberto; Peralta-Salas, Daniel
2015
Eigenfunctions with prescribed nodal sets. Zbl 1328.53046
Enciso, Alberto; Peralta-Salas, Daniel
2015
Knotted vortex lines and vortex tubes in stationary fluid flows. Zbl 1321.35182
Enciso, Alberto; Peralta-Salas, Daniel
2015
Critical points and geometric properties of Green’s functions on open surfaces. Zbl 1330.35091
Enciso, Alberto; Peralta-Salas, Daniel
2015
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2014
Submanifolds that are level sets of solutions to a second-order elliptic PDE. Zbl 1296.35031
Enciso, Alberto; Peralta-Salas, Daniel
2013
Motion of charged particles in ABC magnetic fields. Zbl 1284.34080
Luque, Alejandro; Peralta-Salas, Daniel
2013
Some geometric conjectures in harmonic function theory. Zbl 1262.31002
Enciso, Alberto; Peralta-Salas, Daniel
2013
Knots and links in steady solutions of the Euler equation. Zbl 1238.35092
Enciso, Alberto; Peralta-Salas, Daniel
2012
Existence of inverse integrating factors and Lie symmetries for degenerate planar centers. Zbl 1298.34026
Giné, Jaume; Peralta-Salas, Daniel
2012
Critical points of Green’s functions on complete manifolds. Zbl 1278.53042
Enciso, Alberto; Peralta-Salas, Daniel
2012
Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds. Zbl 1286.58021
Enciso, Alberto; Peralta-Salas, Daniel
2012
Integrable embeddings and foliations. Zbl 1257.57032
Hector, Gilbert; Peralta-Salas; Daniel
2012
A note on the first integrals of vector fields with integrating factors and normalizers. Zbl 1247.34002
Llibre, Jaume; Peralta-Salas, Daniel
2012
Motion of charged particles in magnetic fields created by symmetric configurations of wires. Zbl 1186.37103
Aguirre, Jacobo; Luque, Alejandro; Peralta-Salas, Daniel
2010
Existence and vanishing set of inverse integrating factors for analytic vector fields. Zbl 1192.34038
Enciso, Alberto; Peralta-Salas, Daniel
2009
Symmetry for an overdetermined boundary problem in a punctured domain. Zbl 1152.35523
Enciso, Alberto; Peralta-Salas, Daniel
2009
Critical points and level sets in exterior boundary problems. Zbl 1181.35036
Enciso, Alberto; Peralta-Salas, Daniel
2009
A note on linear differential equations with periodic coefficients. Zbl 1180.34048
Grau, Maite; Peralta-Salas, Daniel
2009
Global attractors of analytic plane flows. Zbl 1177.37030
López, Víctor Jiménez; Peralta-Salas, Daniel
2009
A symmetry result for the $$p$$-Laplacian in a punctured manifold. Zbl 1173.35010
Enciso, Alberto; Peralta-Salas, Daniel
2009
Period function and normalizers of vector fields in $$\mathbb R^n$$ with $$n - 1$$ first integrals. Zbl 1159.34036
Peralta-Salas, D.
2008
Integrability of magnetic fields created by current distributions. Zbl 1137.34021
Aguirre, J.; Giné, J.; Peralta-Salas, D.
2008
Morse-type inequalities for dynamical systems and the Witten Laplacian. Zbl 1138.37012
Enciso, Alberto; Peralta-Salas, Daniel
2008
Addendum to: “Geometrical and topological aspects of electrostatics on Riemannian manifolds” [J. Geom. Phys. 57 (8) (2007) 1679-1696]. Zbl 1151.53355
Enciso, Alberto; Peralta-Salas, Daniel
2008
Geometrical and topological aspects of electrostatics on Riemannian manifolds. Zbl 1120.53045
Enciso, Alberto; Peralta-Salas, Daniel
2007
Attractors and symmetries of vector fields: the inverse problem. Zbl 1143.37019
González-Gascón, F.; Peralta-Salas, D.
2007
Dynamic Parrondo’s paradox. Zbl 1111.37030
Cánovas, J. S.; Linero, A.; Peralta-Salas, D.
2006
Classical and quantum integrability of hamiltonians without scattering states. Zbl 1177.81058
Enciso, A.; Peralta-Salas, D.
2006
On scattering trajectories of dynamical systems. Zbl 1112.37050
Díaz-Cano, A.; González-Gascón, F.; Peralta-Salas, D.
2006
Note on the Markus–Yamabe conjecture for gradient dynamical systems. Zbl 1104.34039
Mañosas, F.; Peralta-Salas, D.
2006
Can two chaotic systems give rise to order? Zbl 1064.37025
Almeida, J.; Peralta-Salas, D.; Romera, M.
2005
Note on a paper of J. Llibre and G. Rodríguez concerning algebraic limit cycles. Zbl 1086.34029
Peralta-Salas, D.
2005
Some properties of the magnetic fields generated by symmetric configurations of wires. Zbl 1066.78004
Gascon, F. G.; Peralta-Salas, D.
2005
Motion of a charge in the magnetic field created by wires: impossibility of reaching the wires. Zbl 1123.78303
Gascón, F. G.; Peralta-Salas, D.
2004
On the construction of global coordinate systems in Euclidean spaces. Zbl 1137.58305
Gascon, F. G.; Peralta-Salas, D.
2004
Invariant sets of second order differential equations. Zbl 1161.34334
Gascon, F. G.; Peralta-Salas, D.
2004
Escape to infinity under the action of a potential and a constant electromagnetic field. Zbl 1094.70509
Gascon, F. G.; Peralta-Salas, D.
2003
Ordered behaviour in force-free magnetic fields. Zbl 0995.78006
Gonzalez-Gascon, F.; Peralta-Salas, D.
2001
Dynamical systems embedded into Lie algebras. Zbl 1027.34045
Campoamor-Stursberg, O. R.; Gascon, F. G.; Peralta-Salas, D.
2001
On the first integrals of Lotka-Volterra systems. Zbl 0948.34025
Gonzalez-Gascon, F.; Peralta-Salas, D.
2000
Escape to infinity in a Newtonian potential. Zbl 0977.34028
Gascon, F. G.; Peralta-Salas, D.
2000
Symmetries and first integrals of divergence-free $$\mathbb R^3$$ vector fields. Zbl 1068.76537
Gonzalez Gascon, F.; Peralta Salas, D.
2000
all top 5

### Cited by 290 Authors

 39 Peralta-Salas, Daniel 30 Enciso, Alberto 13 Giné, Jaume 12 Algaba, Antonio 12 García, Cristóbal 11 García, Isaac A. 9 Cánovas, Jose S. 7 Danca, Marius-Florin 7 Reyes, Manuel 6 Llibre, Jaume 6 Luque, Alejandro 6 Zhang, Xiang 5 Gonzalez-Gascon, Francisco 5 Maza, Susanna 5 Romera, Miguel 5 Valls Anglés, Cláudia 4 Ballesteros, Angel 4 Gerner, Wadim 4 Herranz, Francisco José 4 Magnanini, Rolando 4 Mazzieri, Lorenzo 4 Torres de Lizaur, Francisco 4 Wahlén, Erik 4 Wei, Juncheng 3 Aziz, Waleed 3 Bode, Benjamin 3 Buică, Adriana 3 Cardona, Robert 3 Cheong, Kang Hao 3 Deng, Haiyun 3 Díaz-Cano, Antonio 3 Dipierro, Serena 3 Domínguez-Vázquez, Miguel 3 Fuentes, Natalia 3 García-Ferrero, Maria Ángeles 3 Grau, Maite 3 Khesin, Boris A. 3 Kloeden, Peter Eris 3 Liu, Hairong 3 Liu, Yong 3 Munoz Guillermo, Maria 3 Poggesi, Giorgio 3 Ragnisco, Orlando 3 Robinson, James Cooper 3 Sakaguchi, Shigeru 3 Tian, Long 3 Valdinoci, Enrico 2 Agostiniani, Virginia 2 Amigó, José María 2 Berti, Diego 2 Bogoyavlenskij, Oleg Igorevich 2 Canzani, Yaiza 2 Chu, Jifeng 2 Cordoba, Diego 2 Eswarathasan, Suresh 2 Garzón, Manuel 2 Giménez, Angel 2 Grubic, Nastasia 2 Haro, Àlex 2 Luca, Renato 2 McCormick, David S. 2 Mendoza, Steve A. 2 Miranda, Eva 2 Nadirashvili, Nikolai S. 2 Pastor, Gerardo 2 Peacock-López, Enrique 2 Pelayo, Alvaro 2 Ricca, Renzo L. 2 Rodrigo, José Luis 2 M-Seara, Tere 2 Shi, Yuming 2 Slobodeanu, Radu 2 Torres, Pedro José 2 Vicol, Vlad C. 2 Wang, Linjun 2 Wu, Kesheng 2 Xiao, Jie 2 Zhang, Lijuan 1 Aguirre, Jacobo 1 Alexander, Gareth P. 1 Amen, Azad I. 1 Andres, Jan 1 Ao, Weiwei 1 Bag, Bidhan Chandra 1 Baldi, Pietro 1 Balibrea, Francisco 1 Bao, Jiguang 1 Baura, Alendu 1 Beekie, Rajendra 1 Behrends, Ehrhard 1 Binysh, Jack 1 Bînzar, Tudor 1 Blasco, Alfonso 1 Boatto, Stefanella 1 Bonet-Revés, Carles 1 Borghini, Stefano 1 Bourgain, Jean 1 Bourke, Paul D. 1 Boyarsky, Abraham 1 Buckmaster, Tristan ...and 190 more Authors
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### Cited in 91 Serials

 20 Journal of Differential Equations 14 Journal of Mathematical Analysis and Applications 12 Physica D 11 Advances in Mathematics 8 Archive for Rational Mechanics and Analysis 8 Communications in Mathematical Physics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Chaos, Solitons and Fractals 6 Qualitative Theory of Dynamical Systems 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Dynamics 5 Chaos 5 Dynamical Systems 4 Journal of Mathematical Physics 4 Transactions of the American Mathematical Society 4 The Journal of Geometric Analysis 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Ergodic Theory and Dynamical Systems 3 Applied Mathematics Letters 3 Geometric and Functional Analysis. GAFA 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 2 Applicable Analysis 2 Physica A 2 Reports on Mathematical Physics 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Annals of Global Analysis and Geometry 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Bulletin des Sciences Mathématiques 2 Regular and Chaotic Dynamics 2 Nonlinear Analysis. Real World Applications 2 Entropy 2 S$$\vec{\text{e}}$$MA Journal 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Fluid Mechanics 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 Annals of Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Journal of Knot Theory and its Ramifications 1 Fractals 1 Complexity 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 New Journal of Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Nonlinear Oscillations 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Analysis & PDE 1 Journal of Topology and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Journal of Singularities 1 EMS Surveys in Mathematical Sciences 1 Annals of PDE 1 Arnold Mathematical Journal 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Winter Braids Lecture Notes
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### Cited in 36 Fields

 102 Dynamical systems and ergodic theory (37-XX) 86 Partial differential equations (35-XX) 57 Ordinary differential equations (34-XX) 46 Fluid mechanics (76-XX) 34 Differential geometry (53-XX) 24 Global analysis, analysis on manifolds (58-XX) 19 Optics, electromagnetic theory (78-XX) 17 Manifolds and cell complexes (57-XX) 15 Mechanics of particles and systems (70-XX) 9 Potential theory (31-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Quantum theory (81-XX) 7 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 6 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

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