## Ortega, Rafael

Compute Distance To:
 Author ID: ortega.rafael Published as: Ortega, Rafael; Ortega, R. External Links: MGP · ResearchGate · dblp
 Documents Indexed: 140 Publications since 1984, including 1 Book 1 Contribution as Editor Reviewing Activity: 47 Reviews Co-Authors: 55 Co-Authors with 92 Joint Publications 1,249 Co-Co-Authors
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### Co-Authors

 49 single-authored 9 Kunze, Markus 8 Kannan, Rangachary 7 Mawhin, Jean L. 6 Robles-Pérez, Aureliano M. 6 Tarallo, Massimo 6 Tineo, Antonio R. 5 Campos, Juan 5 Miguel-Alonso, Jose 4 Boscaggin, Alberto 4 Margheri, Alessandro 4 Rebelo, Carlota 3 Arias, Margarita 3 Dancer, Edward Norman 3 López-Gómez, Julián 3 Martinez-Amores, Pedro 2 Cañada Villar, Antonio 2 Cima, Anna 2 Fonda, Alessandro 2 Gasull, Armengol 2 Mañosas, Francesc 2 Rojas, David 2 Ruiz del Portal, Francisco Romero 2 Sanchez, Luis Angel 2 Verzini, Gianmaria 2 Zhao, Lei 1 Alonso, Ana Isabel 1 Amine, Zitan 1 Amster, Pablo 1 Barutello, Vivina L. 1 Buică, Adriana 1 Dambrosio, Walter 1 Delgado, Manuel 1 Enguiça, Ricardo Roque 1 Gebhard, Björn 1 Haddad, Julián E. 1 Hernández-Corbato, Luis 1 Llibre, Jaume 1 Makarenkov, Oleg Yuryĭovych 1 Misquero, Mauricio 1 Nuñez, Daniel E. 1 Obaya, Rafael 1 Ortega, Víctor 1 Rivera, Andrés M. 1 Ruiz-Herrera, Alfonso 1 Sánchez-Gabites, Jaime J. 1 Schmitt, Klaus 1 Serra, Enrico 1 Suárez, Antonio 1 Torres, Pedro José 1 Ureña, Antonio J. 1 Ward, James Robert jun. 1 Willem, Michel 1 Zanolin, Fabio 1 Zhang, Meirong 1 Zitan, Amine
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### Serials

 11 Journal of Differential Equations 8 Proceedings of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Nonlinearity 5 Differential and Integral Equations 5 Journal of Dynamics and Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Ergodic Theory and Dynamical Systems 4 Advanced Nonlinear Studies 3 Proceedings of the London Mathematical Society. Third Series 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Archiv der Mathematik 2 Journal of the London Mathematical Society. Second Series 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Numerical Methods for Partial Differential Equations 2 Topological Methods in Nonlinear Analysis 2 Regular and Chaotic Dynamics 2 Communications in Contemporary Mathematics 2 Qualitative Theory of Dynamical Systems 2 Portugaliae Mathematica. Nova Série 2 SIAM Journal on Applied Dynamical Systems 1 Applicable Analysis 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Mathematics of Kyoto University 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Bulletin de la Classe des Sciences. 5e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Nonlinear World 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Communications on Pure and Applied Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 De Gruyter Series in Nonlinear Analysis and Applications 1 Annals of the University of Bucharest. Mathematical Series 1 Electronic Research Archive
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### Fields

 93 Ordinary differential equations (34-XX) 47 Dynamical systems and ergodic theory (37-XX) 26 Mechanics of particles and systems (70-XX) 21 Partial differential equations (35-XX) 9 Operator theory (47-XX) 8 Biology and other natural sciences (92-XX) 4 Difference and functional equations (39-XX) 3 Functions of a complex variable (30-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

117 Publications have been cited 1,181 times in 674 Documents Cited by Year
Asymmetric oscillators and twist mappings. Zbl 0860.34017
Ortega, Rafael
1996
Boundedness in a piecewise linear oscillator and a variant of the small twist theorem. Zbl 1030.34035
Ortega, Rafael
1999
Roots of unity and unbounded motions of an asymmetric oscillator. Zbl 0899.34023
Alonso, José Miguel; Ortega, Rafael
1998
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
1996
Periodic solutions of a Newtonian equation: Stability by the third approximation. Zbl 0855.34058
Ortega, Rafael
1996
The stability of the equilibrium of a nonlinear Hill’s equation. Zbl 0807.34065
Ortega, Rafael
1994
Unbounded solutions of semilinear equations at resonance. Zbl 0896.34026
Alonso, José Miguel; Ortega, Rafael
1996
A maximum principle for periodic solutions of the telegraph equation. Zbl 0932.35016
Ortega, Rafael; Robles-Pérez, Aureliano M.
1998
Almost periodic linear differential equations with non-separated solutions. Zbl 1108.34008
Ortega, Rafael; Tarallo, Massimo
2006
Stability and index of periodic solutions of an equation of Duffing type. Zbl 0686.34052
Ortega, Rafael
1989
The index of Lyapunov stable fixed points in two dimensions. Zbl 0811.34018
Dancer, E. N.; Ortega, R.
1994
A periodic prey-predator system. Zbl 0808.34043
Amine, Zitan; Ortega, Rafael
1994
A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings. Zbl 0972.35016
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
2000
Invariant curves of mappings with averaged small twist. Zbl 1136.37336
Ortega, Rafael
2001
Some applications of the topological degree to stability theory. Zbl 0834.34058
Ortega, Rafael
1995
Topological degree and stability of periodic solutions for certain differential equations. Zbl 0677.34042
Ortega, Rafael
1990
Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications. Zbl 1082.35040
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
2005
Parabolic fixed points and stability criteria for nonlinear Hill’s equation. Zbl 0973.34046
Núñez, Daniel; Ortega, Rafael
2000
On the families of periodic orbits of the Sitnikov problem. Zbl 1159.70010
Llibre, Jaume; Ortega, Rafael
2008
The twist coefficient of periodic solutions of a time-dependent Newton’s equation. Zbl 0761.34036
Ortega, Rafael
1992
Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation. Zbl 0927.34048
Alonso, Jose Miguel; Mawhin, Jean; Ortega, Rafael
1999
Optimal bounds for bifurcation values of a superlinear periodic problem. Zbl 1088.34036
Ortega, Rafael; Zhang, Meirong
2005
The first interval of stability of a periodic equation of Duffing type. Zbl 0757.34035
Ortega, Rafael
1992
A counterexample for the damped pendulum equation. Zbl 0679.70022
Ortega, R.
1987
Abstract competitive systems and orbital stability in $$\mathbb R^3$$. Zbl 0951.34032
Ortega, Rafael; Sánchez, Luis Ángel
2000
Almost periodic upper and lower solutions. Zbl 1043.34046
Ortega, Rafael; Tarallo, Massimo
2003
Linear motions in a periodically forced Kepler problem. Zbl 1235.34136
Ortega, Rafael
2011
Boundedness and global asymptotic stability of a forced oscillator. Zbl 0826.34043
Alonso, Jose Miguel; Ortega, Rafael
1995
A variational method for the existence of bounded solutions of a sublinear forced oscillator. Zbl 1072.34038
Ortega, Rafael; Verzini, Gianmaria
2004
Existence of asymptotically stable periodic solutions of a forced equation of Liénard type. Zbl 0802.34050
Zitan, Amine; Ortega, Rafael
1994
Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. Zbl 0886.34025
Campos, Juan; Ortega, Rafael; Tineo, Antonio
1997
Global bifurcations from the center of mass in the Sitnikov problem. Zbl 1380.70028
Ortega, Rafael; Rivera, Andrés
2010
Global asymptotic stability of a forced Newtonian system with dissipation. Zbl 0844.34047
Alonso, José Miguel; Ortega, Rafael
1995
Stability of a periodic problem of Ambrosetti-Prodi type. Zbl 0724.34059
Ortega, Rafael
1990
Periodic solutions of pendulum-type equations. Zbl 0608.34047
Kannan, Rangachary; Ortega, Rafael
1985
Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction. Zbl 0970.34037
Ortega, Rafael; Serra, Enrico; Tarallo, Massimo
2000
The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom. Zbl 0946.34036
Ortega, Rafael
1998
Degree theory and almost periodic problems. Zbl 1204.34054
Ortega, Rafael
2008
Massera’s theorem for quasi-periodic differential equations. Zbl 1005.37021
Ortega, Rafael; Tarallo, Massimo
2002
An exclusion principle for periodic competitive systems in three dimensions. Zbl 0901.34049
Ortega, Rafael; Tineo, Antonio
1998
Monotone twist maps and periodic solutions of systems of Duffing type. Zbl 1331.34070
Boscaggin, Alberto; Ortega, Rafael
2014
Differential equations with limit-periodic forcings. Zbl 1021.34015
Alonso, Ana I.; Obaya, Rafael; Ortega, Rafael
2003
Dynamics of a forced oscillator having an obstacle. Zbl 1054.34057
Ortega, R.
2002
Resonance and non-resonance in a problem of boundedness. Zbl 0858.34018
Ortega, Rafael; Tineo, Antonio
1996
Periodic perturbations of an isochronous center. Zbl 1043.34049
Ortega, Rafael
2002
Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities. Zbl 0742.34043
Martinez-Amores, P.; Mawhin, J.; Ortega, R.; Willem, M.
1991
A criterion for asymptotic stability based on topological degree. Zbl 0846.34056
Ortega, Rafael
1996
On the spectrum of some linear noncooperative elliptic systems with radial symmetry. Zbl 0841.35031
Dancer, E. N.; López-Gómez, J.; Ortega, R.
1995
Existence of solutions of $$x''+x+g(x)=p(t)$$, $$x(0)=0=x(\pi)$$. Zbl 0585.34001
Kannan, Rangachary; Ortega, Rafael
1986
Landesman-Lazer conditions for problems with “one-side unbounded” nonlinearities. Zbl 0624.35033
Kannan, Rangachary; Ortega, Rafael
1985
Almost periodic equations and conditions of Ambrosetti-Prodi type. Zbl 1055.34085
Ortega, Rafael; Tarallo, Massimo
2003
Complete orbits for twist maps on the plane: the case of small twist. Zbl 1276.37035
Kunze, Markus; Ortega, Rafael
2011
Attractors with vanishing rotation number. Zbl 1253.37048
Ortega, Rafael; Ruiz del Portal, Francisco R.
2011
Superlinear elliptic boundary value problems. Zbl 0668.35032
Kannan, Rangachary; Ortega, Rafael
1987
A forced pendulum equation with many periodic solutions. Zbl 0899.34031
Ortega, Rafael
1997
A duality theorem for periodic solutions of a class of second order evolution equations. Zbl 1010.34054
Ortega, Rafael; Robles-Pérez, Aureliano M.
2001
Complete orbits for twist maps on the plane: extensions and applications. Zbl 1228.37035
Kunze, Markus; Ortega, Rafael
2011
Asymptotic stability of forced oscillations emanating from a limit cycle. Zbl 1213.34060
Makarenkov, Oleg; Ortega, Rafael
2011
Prevalence of non-degenerate periodic solutions in the forced pendulum equation. Zbl 1278.34042
Ortega, Rafael
2013
On the number of positive periodic solutions for planar competing Lotka-Volterra systems. Zbl 0903.34037
Ortega, Rafael; Tineo, Antonio
1995
Nonexistence of periodic solutions of a complex Riccati equation. Zbl 0842.34046
Campos, Juan; Ortega, Rafael
1996
Twist mappings, invariant curves and periodic differential equations. Zbl 1172.34326
Ortega, Rafael
2001
Symmetric periodic solutions in the Sitnikov problem. Zbl 1354.34072
Ortega, Rafael
2016
Existence theorems for equations in normed spaces and boundary value problems for nonlinear vector ordinary differential equations. Zbl 0558.47046
1984
Complete orbits for twist maps on the plane. Zbl 1149.37024
Kunze, Markus; Ortega, Rafael
2008
Twist mappings with non-periodic angles. Zbl 1326.37032
Kunze, Markus; Ortega, Rafael
2013
Periodic solutions and regularization of a Kepler problem with time-dependent perturbation. Zbl 1422.37041
Boscaggin, Alberto; Ortega, Rafael; Zhao, Lei
2019
Subharmonic solutions of the forced pendulum equation: a symplectic approach. Zbl 1303.34028
Boscaggin, A.; Ortega, R.; Zanolin, F.
2014
A boundedness result of Landesman-Lazer type. Zbl 0817.34017
Ortega, Rafael
1995
Nonexistence of radial solutions of two elliptic boundary value problems. Zbl 0721.35022
Ortega, Rafael
1990
Stable periodic solutions in the forced pendulum equation. Zbl 1303.34031
Ortega, Rafael
2013
Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability. Zbl 1343.37045
Boscaggin, Alberto; Ortega, Rafael
2016
Periodic solutions of forced oscillators with several degrees of freedom. Zbl 1041.34003
Ortega, Rafael; Sánchez, Luis A.
2002
Persistence of equilibria as periodic solutions of forced systems. Zbl 1237.34077
2012
Maximum principles around an eigenvalue with constant eigenfunctions. Zbl 1170.35029
Campos, J.; Mawhin, J.; Ortega, R.
2008
Periodic motions in forced problems of Kepler type. Zbl 1246.34035
2011
Dynamics of Kepler problem with linear drag. Zbl 1298.70010
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2014
Stability and index of periodic solutions of a nonlinear telegraph equation. Zbl 1089.37046
Ortega, Rafael
2005
A finite difference approach to the equations of age-dependent population dynamics. Zbl 0677.65142
Kannan, Rangachary; Ortega, Rafael
1989
On the number of solutions to semilinear boundary value problem. Zbl 1142.35425
Kunze, Markus; Ortega, Rafael
2004
On Littlewood’s problem for the asymmetric oscillator. Zbl 1020.34032
Ortega, Rafael
1998
The pendulum equation: from periodic to almost periodic forcings. Zbl 1240.34222
Ortega, Rafael
2009
Some analytical results about periodic orbits in the restricted three body problem with dissipation. Zbl 1266.70014
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2012
Long-time stability estimates for the non-periodic Littlewood boundedness problem. Zbl 1272.34043
Kunze, Markus; Ortega, Rafael
2013
Periodic differential equations in the plane. A topological perspective. Zbl 1427.34052
Ortega, Rafael
2019
An asymptotic result in forced oscillations of pendulum-type equations. Zbl 0613.34028
Kannan, Rangachary; Ortega, Rafael
1986
Positively homogeneous equations in the plane. Zbl 1079.34011
Fonda, Alessandro; Ortega, Rafael
2000
Counting periodic solutions of the forced pendulum equation. Zbl 0967.34037
Ortega, Rafael
2000
A forced pendulum equation without stable periodic solutions of a fixed period. Zbl 1323.34057
Ortega, Rafael
2014
Instability of periodic solutions obtained by minimization. Zbl 1210.37042
Ortega, Rafael
2004
Point-vortex stability under the influence of an external periodic flow. Zbl 1393.37068
Ortega, Rafael; Ortega, Víctor; Torres, Pedro J.
2018
Periodic oscillators, isochronous centers and resonance. Zbl 1411.34051
Ortega, Rafael; Rojas, David
2019
Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong. Zbl 1437.37028
Kunze, Markus; Ortega, Rafael
2020
A maximum principle for bounded solutions of the telegraph equation in space dimension three. Zbl 1002.35027
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
2002
Regularized variational principles for the perturbed Kepler problem. Zbl 1482.70016
Barutello, Vivina; Ortega, Rafael; Verzini, Gianmaria
2021
Doubly-periodic solutions of a forced semilinear wave equation. Zbl 0651.35057
Arias, M.; Martínez-Amores, P.; Ortega, R.
1987
Linearization of planar involutions in $$\mathcal C^1$$. Zbl 1352.37053
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
2015
Retracts, fixed point index and differential equations. Zbl 1160.34049
Ortega, Rafael
2008
Degenerate equations of pendulum-type. Zbl 0958.34033
Ortega, Rafael; Tarallo, Massimo
2000
Nonexistence of invariant curves of mappings with small twist. Zbl 0907.58058
Ortega, Rafael
1997
Regularized variational principles for the perturbed Kepler problem. Zbl 1482.70016
Barutello, Vivina; Ortega, Rafael; Verzini, Gianmaria
2021
Generalized periodic orbits in some restricted three-body problems. Zbl 07339798
Ortega, Rafael; Zhao, Lei
2021
Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong. Zbl 1437.37028
Kunze, Markus; Ortega, Rafael
2020
Periodic solutions and regularization of a Kepler problem with time-dependent perturbation. Zbl 1422.37041
Boscaggin, Alberto; Ortega, Rafael; Zhao, Lei
2019
Periodic differential equations in the plane. A topological perspective. Zbl 1427.34052
Ortega, Rafael
2019
Periodic oscillators, isochronous centers and resonance. Zbl 1411.34051
Ortega, Rafael; Rojas, David
2019
Smooth linearisation of planar periodic maps. Zbl 1423.37027
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
2019
Stability of periodic solutions of the $$N$$-vortex problem in general domains. Zbl 1436.37065
Gebhard, Björn; Ortega, Rafael
2019
Functions with average and bounded motions of a forced discontinuous oscillator. Zbl 1443.34020
Enguiça, Ricardo; Ortega, Rafael
2019
Point-vortex stability under the influence of an external periodic flow. Zbl 1393.37068
Ortega, Rafael; Ortega, Víctor; Torres, Pedro J.
2018
First integrals for the Kepler problem with linear drag. Zbl 1374.70025
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2017
On a family of Kepler problems with linear dissipation. Zbl 1473.70028
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2017
Stability of periodic solutions of Hamiltonian systems with low dimension. Zbl 1440.37059
Ortega, Rafael
2017
Symmetric periodic solutions in the Sitnikov problem. Zbl 1354.34072
Ortega, Rafael
2016
Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability. Zbl 1343.37045
Boscaggin, Alberto; Ortega, Rafael
2016
Linearization of planar involutions in $$\mathcal C^1$$. Zbl 1352.37053
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
2015
A homotopical property of attractors. Zbl 1362.37036
Ortega, Rafael; Sánchez-Gabites, Jaime J.
2015
Monotone twist maps and periodic solutions of systems of Duffing type. Zbl 1331.34070
Boscaggin, Alberto; Ortega, Rafael
2014
Subharmonic solutions of the forced pendulum equation: a symplectic approach. Zbl 1303.34028
Boscaggin, A.; Ortega, R.; Zanolin, F.
2014
Dynamics of Kepler problem with linear drag. Zbl 1298.70010
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2014
A forced pendulum equation without stable periodic solutions of a fixed period. Zbl 1323.34057
Ortega, Rafael
2014
Prevalence of non-degenerate periodic solutions in the forced pendulum equation. Zbl 1278.34042
Ortega, Rafael
2013
Twist mappings with non-periodic angles. Zbl 1326.37032
Kunze, Markus; Ortega, Rafael
2013
Stable periodic solutions in the forced pendulum equation. Zbl 1303.34031
Ortega, Rafael
2013
Long-time stability estimates for the non-periodic Littlewood boundedness problem. Zbl 1272.34043
Kunze, Markus; Ortega, Rafael
2013
Persistence of equilibria as periodic solutions of forced systems. Zbl 1237.34077
2012
Some analytical results about periodic orbits in the restricted three body problem with dissipation. Zbl 1266.70014
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2012
Index and persistence of stable Cantor sets. Zbl 1268.37069
Ortega, Rafael; Ruiz-Herrera, Alfonso
2012
Attractors with irrational rotation number. Zbl 1267.37040
Hernández-Corbato, Luis; Ortega, Rafael; Ruiz del Portal, Francisco R.
2012
The complex periodic problem for a Riccati equation. Zbl 1274.34128
Ortega, Rafael
2012
Linear motions in a periodically forced Kepler problem. Zbl 1235.34136
Ortega, Rafael
2011
Complete orbits for twist maps on the plane: the case of small twist. Zbl 1276.37035
Kunze, Markus; Ortega, Rafael
2011
Attractors with vanishing rotation number. Zbl 1253.37048
Ortega, Rafael; Ruiz del Portal, Francisco R.
2011
Complete orbits for twist maps on the plane: extensions and applications. Zbl 1228.37035
Kunze, Markus; Ortega, Rafael
2011
Asymptotic stability of forced oscillations emanating from a limit cycle. Zbl 1213.34060
Makarenkov, Oleg; Ortega, Rafael
2011
Periodic motions in forced problems of Kepler type. Zbl 1246.34035
2011
A dynamical characterization of planar symmetries. Zbl 1273.37012
Ortega, Rafael
2011
Global bifurcations from the center of mass in the Sitnikov problem. Zbl 1380.70028
Ortega, Rafael; Rivera, Andrés
2010
The pendulum equation: from periodic to almost periodic forcings. Zbl 1240.34222
Ortega, Rafael
2009
On the families of periodic orbits of the Sitnikov problem. Zbl 1159.70010
Llibre, Jaume; Ortega, Rafael
2008
Degree theory and almost periodic problems. Zbl 1204.34054
Ortega, Rafael
2008
Complete orbits for twist maps on the plane. Zbl 1149.37024
Kunze, Markus; Ortega, Rafael
2008
Maximum principles around an eigenvalue with constant eigenfunctions. Zbl 1170.35029
Campos, J.; Mawhin, J.; Ortega, R.
2008
Retracts, fixed point index and differential equations. Zbl 1160.34049
Ortega, Rafael
2008
Location of fixed points and periodic solutions in the plane. Zbl 1360.34090
Campos, Juan; Ortega, Rafael
2008
Almost periodic linear differential equations with non-separated solutions. Zbl 1108.34008
Ortega, Rafael; Tarallo, Massimo
2006
Unbounded motions in forced Newtonian equations. Zbl 1103.34042
Ortega, Rafael
2006
Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications. Zbl 1082.35040
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
2005
Optimal bounds for bifurcation values of a superlinear periodic problem. Zbl 1088.34036
Ortega, Rafael; Zhang, Meirong
2005
Stability and index of periodic solutions of a nonlinear telegraph equation. Zbl 1089.37046
Ortega, Rafael
2005
A variational method for the existence of bounded solutions of a sublinear forced oscillator. Zbl 1072.34038
Ortega, Rafael; Verzini, Gianmaria
2004
On the number of solutions to semilinear boundary value problem. Zbl 1142.35425
Kunze, Markus; Ortega, Rafael
2004
Instability of periodic solutions obtained by minimization. Zbl 1210.37042
Ortega, Rafael
2004
The first 60 years of nonlinear analysis of Jean Mawhin. Papers from the conference, Sevilla, Spain, April 2003. Zbl 1064.35002
2004
Almost periodic upper and lower solutions. Zbl 1043.34046
Ortega, Rafael; Tarallo, Massimo
2003
Differential equations with limit-periodic forcings. Zbl 1021.34015
Alonso, Ana I.; Obaya, Rafael; Ortega, Rafael
2003
Almost periodic equations and conditions of Ambrosetti-Prodi type. Zbl 1055.34085
Ortega, Rafael; Tarallo, Massimo
2003
Massera’s theorem for quasi-periodic differential equations. Zbl 1005.37021
Ortega, Rafael; Tarallo, Massimo
2002
Dynamics of a forced oscillator having an obstacle. Zbl 1054.34057
Ortega, R.
2002
Periodic perturbations of an isochronous center. Zbl 1043.34049
Ortega, Rafael
2002
Periodic solutions of forced oscillators with several degrees of freedom. Zbl 1041.34003
Ortega, Rafael; Sánchez, Luis A.
2002
A maximum principle for bounded solutions of the telegraph equation in space dimension three. Zbl 1002.35027
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
2002
Invariant curves of mappings with averaged small twist. Zbl 1136.37336
Ortega, Rafael
2001
A duality theorem for periodic solutions of a class of second order evolution equations. Zbl 1010.34054
Ortega, Rafael; Robles-Pérez, Aureliano M.
2001
Twist mappings, invariant curves and periodic differential equations. Zbl 1172.34326
Ortega, Rafael
2001
A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings. Zbl 0972.35016
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
2000
Parabolic fixed points and stability criteria for nonlinear Hill’s equation. Zbl 0973.34046
Núñez, Daniel; Ortega, Rafael
2000
Abstract competitive systems and orbital stability in $$\mathbb R^3$$. Zbl 0951.34032
Ortega, Rafael; Sánchez, Luis Ángel
2000
Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction. Zbl 0970.34037
Ortega, Rafael; Serra, Enrico; Tarallo, Massimo
2000
Positively homogeneous equations in the plane. Zbl 1079.34011
Fonda, Alessandro; Ortega, Rafael
2000
Counting periodic solutions of the forced pendulum equation. Zbl 0967.34037
Ortega, Rafael
2000
Degenerate equations of pendulum-type. Zbl 0958.34033
Ortega, Rafael; Tarallo, Massimo
2000
Boundedness in a piecewise linear oscillator and a variant of the small twist theorem. Zbl 1030.34035
Ortega, Rafael
1999
Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation. Zbl 0927.34048
Alonso, Jose Miguel; Mawhin, Jean; Ortega, Rafael
1999
Roots of unity and unbounded motions of an asymmetric oscillator. Zbl 0899.34023
Alonso, José Miguel; Ortega, Rafael
1998
A maximum principle for periodic solutions of the telegraph equation. Zbl 0932.35016
Ortega, Rafael; Robles-Pérez, Aureliano M.
1998
The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom. Zbl 0946.34036
Ortega, Rafael
1998
An exclusion principle for periodic competitive systems in three dimensions. Zbl 0901.34049
Ortega, Rafael; Tineo, Antonio
1998
On Littlewood’s problem for the asymmetric oscillator. Zbl 1020.34032
Ortega, Rafael
1998
Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. Zbl 0886.34025
Campos, Juan; Ortega, Rafael; Tineo, Antonio
1997
A forced pendulum equation with many periodic solutions. Zbl 0899.34031
Ortega, Rafael
1997
Nonexistence of invariant curves of mappings with small twist. Zbl 0907.58058
Ortega, Rafael
1997
Asymmetric oscillators and twist mappings. Zbl 0860.34017
Ortega, Rafael
1996
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
1996
Periodic solutions of a Newtonian equation: Stability by the third approximation. Zbl 0855.34058
Ortega, Rafael
1996
Unbounded solutions of semilinear equations at resonance. Zbl 0896.34026
Alonso, José Miguel; Ortega, Rafael
1996
Resonance and non-resonance in a problem of boundedness. Zbl 0858.34018
Ortega, Rafael; Tineo, Antonio
1996
A criterion for asymptotic stability based on topological degree. Zbl 0846.34056
Ortega, Rafael
1996
Nonexistence of periodic solutions of a complex Riccati equation. Zbl 0842.34046
Campos, Juan; Ortega, Rafael
1996
Some applications of the topological degree to stability theory. Zbl 0834.34058
Ortega, Rafael
1995
Boundedness and global asymptotic stability of a forced oscillator. Zbl 0826.34043
Alonso, Jose Miguel; Ortega, Rafael
1995
Global asymptotic stability of a forced Newtonian system with dissipation. Zbl 0844.34047
Alonso, José Miguel; Ortega, Rafael
1995
On the spectrum of some linear noncooperative elliptic systems with radial symmetry. Zbl 0841.35031
Dancer, E. N.; López-Gómez, J.; Ortega, R.
1995
On the number of positive periodic solutions for planar competing Lotka-Volterra systems. Zbl 0903.34037
Ortega, Rafael; Tineo, Antonio
1995
A boundedness result of Landesman-Lazer type. Zbl 0817.34017
Ortega, Rafael
1995
The stability of the equilibrium of a nonlinear Hill’s equation. Zbl 0807.34065
Ortega, Rafael
1994
The index of Lyapunov stable fixed points in two dimensions. Zbl 0811.34018
Dancer, E. N.; Ortega, R.
1994
A periodic prey-predator system. Zbl 0808.34043
Amine, Zitan; Ortega, Rafael
1994
Existence of asymptotically stable periodic solutions of a forced equation of Liénard type. Zbl 0802.34050
Zitan, Amine; Ortega, Rafael
1994
The twist coefficient of periodic solutions of a time-dependent Newton’s equation. Zbl 0761.34036
Ortega, Rafael
1992
...and 17 more Documents
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### Cited by 649 Authors

 48 Ortega, Rafael 26 Torres, Pedro José 19 Zhang, Meirong 18 Fonda, Alessandro 15 Obaya, Rafael 14 Liu, Bin 14 Yang, Xiaojing 13 Chu, Jifeng 13 Qian, Dingbian 11 An, Yukun 11 Li, Xiong 11 Makarenkov, Oleg Yuryĭovych 11 Mawhin, Jean L. 11 Tarallo, Massimo 11 Wang, Fanglei 11 Wang, Yiqian 11 Zanolin, Fabio 10 Amster, Pablo 10 Boscaggin, Alberto 10 Campos, Juan 9 Liang, Zaitao 9 Liu, Qihuai 9 López-Gómez, Julián 9 Nuñez, Daniel E. 9 Ureña, Antonio J. 8 Andres, Jan 8 Gazzola, Filippo 8 Kunze, Markus 8 Ruiz del Portal, Francisco Romero 8 Sfecci, Andrea 8 Teng, Zhi-dong 8 Tineo, Antonio R. 7 Marò, Stefano 7 Wang, Zhiguo 6 Chen, Lansun 6 Dambrosio, Walter 6 Drábek, Pavel 6 Piao, Daxiong 6 Rebelo, Carlota 6 Ruiz-Herrera, Alfonso 5 Cao, Zhenbang 5 Chen, Hongbin 5 Essebbar, Brahim 5 Kannan, Rangachary 5 Krasnosel’skiĭ, Aleksandr Markovich 5 Llibre, Jaume 5 Miguel-Alonso, Jose 5 Núñez, Carmen A. 5 Rivera, Andrés M. 4 Cid, José Ángel 4 de la Llave, Rafael 4 Feltrin, Guglielmo 4 Garrione, Maurizio 4 Jiang, Jifa 4 Jiang, Shunjun 4 Kokocki, Piotr 4 Kuo, Chungcheng 4 Langa, Jose’ Antonio 4 Li, Denghui 4 Liao, Fangfang 4 Lisena, Benedetta 4 Margheri, Alessandro 4 Mariani, Maria Cristina 4 Muñoz-Hernández, Eduardo 4 Nieto Roig, Juan Jose 4 Novo, Sylvia 4 Robles-Pérez, Aureliano M. 4 Rojas, David 4 Salazar, José Miguel 4 Sanchez, Luis Angel 4 Sanz, Ana M. 4 Shao, Jianying 4 Sovrano, Elisa 4 Toader, Rodica 4 Wang, Yi 4 Wang, Zaihong 4 Xie, Jianhua 3 Barutello, Vivina L. 3 Beltritti, Gastón 3 Berchio, Elvise 3 Cañada Villar, Antonio 3 Cao, Junfei 3 Caraballo Garrido, Tomás 3 Cen, Xiuli 3 de Nápoli, Pablo Luis 3 Dehghan Takht Fooladi, Mehdi 3 Ezzinbi, Khalil 3 Fabry, Christian 3 Grebogi, Celso 3 Holubová, Gabriela 3 Huang, Zaitang 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Korman, Philip L. 3 Leiva, Hugo 3 Li, Shengjun 3 Li, Yi 3 Li, Yongxiang 3 Lo, Kueiming 3 Ma, Shiwang 3 Meng, Gang ...and 549 more Authors
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### Cited in 147 Serials

 89 Journal of Differential Equations 63 Journal of Mathematical Analysis and Applications 50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Nonlinear Analysis. Real World Applications 19 Journal of Dynamics and Differential Equations 16 Proceedings of the American Mathematical Society 15 Applied Mathematics and Computation 15 Nonlinear Analysis. Theory, Methods & Applications 14 Discrete and Continuous Dynamical Systems 13 Celestial Mechanics and Dynamical Astronomy 12 Abstract and Applied Analysis 10 Boundary Value Problems 9 Qualitative Theory of Dynamical Systems 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Applied Mathematics Letters 8 Acta Mathematica Sinica. English Series 8 Discrete and Continuous Dynamical Systems. Series B 8 Advanced Nonlinear Studies 7 Chaos, Solitons and Fractals 7 Communications on Pure and Applied Analysis 6 Computers & Mathematics with Applications 6 Mathematical Methods in the Applied Sciences 6 Nonlinearity 6 Physica D 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Difference Equations and Applications 6 Communications in Contemporary Mathematics 6 Advances in Difference Equations 5 Applicable Analysis 5 Mathematical and Computer Modelling 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Applied Dynamical Systems 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Archiv der Mathematik 4 Mathematische Nachrichten 4 Acta Mathematicae Applicatae Sinica. English Series 4 Science in China. Series A 4 SIAM Journal on Mathematical Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Mediterranean Journal of Mathematics 4 Journal of Fixed Point Theory and Applications 4 Science China. Mathematics 3 Communications in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Zeitschrift für Analysis und ihre Anwendungen 3 Numerical Methods for Partial Differential Equations 3 Applications of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Topological Methods in Nonlinear Analysis 3 Mathematical Problems in Engineering 3 Differential Equations and Dynamical Systems 3 Discrete Dynamics in Nature and Society 3 Differential Equations 3 Frontiers of Mathematics in China 3 Discrete and Continuous Dynamical Systems. Series S 3 Electronic Research Archive 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematical Modelling 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 Regular and Chaotic Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Dynamical and Control Systems 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Evolution Equations and Control Theory 2 Advances in Nonlinear Analysis 1 Acta Mechanica 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Bulletin of Mathematical Biology 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Mathematika 1 Meccanica 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange ...and 47 more Serials
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### Cited in 40 Fields

 469 Ordinary differential equations (34-XX) 215 Dynamical systems and ergodic theory (37-XX) 108 Partial differential equations (35-XX) 89 Operator theory (47-XX) 81 Mechanics of particles and systems (70-XX) 78 Biology and other natural sciences (92-XX) 21 Mechanics of deformable solids (74-XX) 16 Numerical analysis (65-XX) 14 Difference and functional equations (39-XX) 14 Abstract harmonic analysis (43-XX) 11 General topology (54-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 7 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Fluid mechanics (76-XX) 6 Systems theory; control (93-XX) 5 Functions of a complex variable (30-XX) 5 Algebraic topology (55-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)