P.J. Torres, Mathematical Models with singularities - A Zoo of Singular Creatures, Atlantis Press, ISBN: 978-94-6239-105-5

 

 

 

 

91. P.J. Torres, Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates, Physics Letters A 378, Iss. 45 (2014), 3285–3288

 

90. C. Escudero, R. Hakl. I. Peral, P.J. Torres, Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth, Mathematical Models in the Applied Sciences 37, Iss. 6 (2014), 793-807

89. A. Margheri, C. Rebelo, P.J. Torres, On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs, J. Math. Anal. Appl. 413 (2014) 660–667

 

88. A. Boscaggin, P.J. Torres, Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain, Physica D: Nonlinear Phenomena, Volume 261, 15 October 2013, Pages 81-84.

 

87. P.J. Torres, P. Madhusudhanan, L. W. Esposito, Mathematical analysis of a model for moon-triggered clumping in Saturn’s rings, Physica D, Vol. 259 (2013), pp. 55-62. DOI: 10.1016/j.physd.2013.06.002

 

86. A. Gutiérrez, P.J. Torres, Non-autonomous saddle-node bifurcation in a canonical electrostatic MEMS, International Journal of Bifurcation and Chaos, Vol. 23, No. 5 (2013) 1350088 (9 pages), DOI: 10.1142/S021812741350088.

 

85. C. Bereanu, P. Jebelean, P.J. Torres, Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space, Journal of Functional Analysis, Volume 265, Issue 4, 2013, pp. 644–659.

 

84. R. Navarro, R. Carretero-González, P.J. Torres, P.G. Kevrekidis, D.J. Frantzeskakis, M.W. Ray, E. Altuntaş, and D.S. Hall, Dynamics of Few Co-rotating Vortices in Bose-Einstein Condensates, Physical Review Letters 110, 225301 (2013) [6 pages].

 

83. C. Escudero, R. Hakl. I. Peral, P.J. Torres, On the radial stationary solutions to a model of nonequilibrium growth, European Journal of Applied Mathematics Vol. 24 (3), pp. 437-453.

 

82. A. Ruiz-Herrera, P.J. Torres, Periodic solutions and chaotic dynamics in forced impact oscillators, SIAM J. Appl. Dyn. Syst. 12-1 (2013), pp. 383-414.

 

81. P.J. Torres, A.J. Ureña, M. Zamora, Periodic and quasi-periodic motions of a relativistic particle under a central force field, Bulletin of the London Mathematical Society (2013) 45(1): 140-152, doi:10.1112/blms/bds076

 

80. P.J. Torres, Z. Cheng, J. Ren, Non-degeneracy and Uniqueness of Periodic Solutions for 2n-order Differential Equations, Discrete and Continuous Dynamical Systems A Vol. 33, n. 5 (2013), 2155 - 2168.

 

79. Q.D. Katatbeh, P.J. Torres, Existence of periodic and solitary waves for a Nonlinear Schrödinger Equation with Nonlocal Integral Term of convolution type, Communications in Nonlinear Science and Numerical Simulation 18 (2013) 1136–1142.

78. C. Bereanu, P. Jebelean, P.J. Torres, Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space, Journal of Functional Analysis 264 (2013) 270-287.

77. J.A. Cid, P.J. Torres, On the existence and stability of periodic solutions for pendulum-like equations with friction and $\phi$-Laplacian, Discrete and Continuous Dynamical Systems 33 (2013) 141-153

 

 

 

76. A. Fonda, R. Toader, P.J. Torres, Periodic motions in a gravitational central field with a rotating external force, Celestial Mechanics and Dynamical Astronomy 2012, Volume 113, Number 3, Pages 335-342

75. R. Hakl, P.J. Torres, M. Zamora, Periodic solutions of singular second order differential equations: the repulsive case, Topological Methods in Nonlinear Analysis, Volume 39, 2012, 199–220.

 

74. C. Bereanu, P.J. Torres, Existence of at least two periodic solutions of the forced relativistic pendulum, Proc. Am. Math. Soc. 140 (2012), 2713-2719 .

 

73. D. Bonheure, P.J. Torres, Bounded and homoclinic like solutions of a second order singular differential equation, Bulletin London Math. Soc. (2012) 44(1): 47-54.

 

72. J. Chu, N. Fan, P.J. Torres, Periodic solutions for second order singular damped differential equations, J. Math. Anal. Appl. Vol. 388 (2012) 665–675.

 

71. A. Gutiérrez, P.J. Torres, The Lazer-Solimini equation with state-dependent delay, Applied Math. Letters Vol. 25, Iss. 3, (2012), pp. 643-647

 

 

70. P.J. Torres, Stabilization of optically coupled lasers with periodic pumping, Nonlinear Oscillations vol. 14 (2011 ), No. 3, pp. 392-399.

 

69. R. Hakl, P.J. Torres, M. Zamora, Periodic solutions of singular second order differential equations: upper and lower functions, Nonlinear Analysis: Theory, Methods & Applications 74 (2011) 7078-7093

 

68. A. Gutiérrez, P.J. Torres, Periodic solutions of Liénard second order differential equations with one or two weak singularities, Differential Equations & Applications- DEA 3 (2011) 375-384

 

67. C. Escudero, A. Rivera, P.J Torres, Chemical Oscillations out of Chemical Noise, SIAM J. Appl. Dyn. Syst. 10 (2011) 960-986

 

66. N. Alkoumi, P.J. Torres, Estimates on the number of limit cycles of a generalized Abel equation, Discrete and Continuous Dynamical Systems A, Volume 31 (2011) pp. 25-34

65. P.J. Torres, P.G. Kevrekidis, D.J. Frantzeskakis, R. Carretero-González, P. Schmelcher and D.S. Hall, Dynamics of vortex dipoles in confined Bose–Einstein condensates, Physics Letters A 375 (2011) 3044-3050

64. S. Middelkamp, P.J. Torres, P. G. Kevrekidis, D.J. Frantzeskakis, R. Carretero-González, P. Schmelcher, D.V. Freilich, and D.S. Hall, Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates, Phys. Rev. A 84 (2011) 011605(R)

63. N. Alkoumi, P. J. Torres, On the number of limit cycles of a generalized Abel equation, Czechoslovak Mathematical Journal 61 (2011) 73-83.

 

62. R. Hakl, P.J. Torres, A combined variational-topological approach for dispersion-managed solitons in optical fibers, Z. Angew. Math. Phys. 62 (2011) 245–266.

 

61. R. Halk, P.J. Torres, Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign, Applied Mathematics and Computation 217 (2011) 7599-7611.

 

60. P.J. Torres, R. Carretero-González, S. Middelkamp, P. Schmelcher, D.J. Frantzeskakis and P.G. Kevrekidis, Vortex Interaction Dynamics in Trapped Bose-Einstein Condensates, Communications on Pure and Applied Analysis 10 (2011) 1589-1615.

 

59. P. J. Torres, Nondegeneracy of the periodically forced Liénard differential equation with $\phi$-Laplacian, Communications in Contemporary Mathematics 13 (2011) 283-292. 

 

 

58. J.L. Bravo, P.J. Torres, Periodic solutions of a singular equation with indefinite weight, Advanced Nonlinear Studies 10 (2010), 927-938

 

57. R. Halk, P.J. Torres, On periodic solutions of second-order differential equations with attractive-repulsive singularities, Journal of Differential Equations, 248  (2010)  111-126.

 

 

56. J. Belmonte-Beitia, V.M. Perez-Garcia, P.J. Torres, Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients, Journal of Nonlinear Science, 19 (2009), 437-451.

 

55. J.A. Cid, P.J. Torres, Solvability for some boundary value problems with $\phi$-Laplacian operators, Discrete and Continuous Dynamical Systems-A, 23 (2009) 727-732.

 

54. D. Núñez, P.J. Torres, On the motion of an oscillator with a periodically time-varying mass, Nonlinear Analysis Series B: Real World Applications 10 (2009) 1976-1983.

 

53. D. Núñez, P.J. Torres, Stabilization by vertical vibrations, Mathematical Methods in the Applied Sciences, 32 (2009) 1118 - 1128.

 

52. J.P.P. Veerman, D. Daescu, M.J. Romero-Valles, P.J. Torres,  A Single Particle Impact Model for Motion in Avalanches, Physica D: Nonlinear Phenomena 238 (2009) 1897-1908.

 

 

51. J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, P.J.Torres,  Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities, Discrete and Continuous Dynamical Systems-B,  9  (2008), 221-233.

 

50. J. Belmonte-Beitia, P.J.Torres,  Existence of Dark Soliton Solutions of the Cubic Nonlinear Schr¨odinger Equation with Periodic Inhomogeneous Nonlinearity, Journal of Nonlinear Mathematical Physics Vol. 15, Supplement 3 (2008), 65–72

 

49. D. Franco, P.J. Torres, Periodic solutions of singular systems without the strong force condition,  Proc. Amer. Math. Soc. 136 (2008) 1229-1236.

 

48. F. Mañosas, P.J. Torres, Two inverse problems for analytic potential systems, Journal of Differential Equations 245 (2008) 3664-3673.

 

47. P.J. Torres, Periodic oscillations of the relativistic pendulum with friction Physics Letters A 372 (2008) 6386-6387.

 

46. P.J. Torres and V.V. Konotop, On the existence of dark solitons in a cubic-quintic nonlinear Schrödinger equation with a periodic potential , Communications in Mathematical Physics 282 (2008) 1-9.

 

 

45. J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, P.J. Torres, Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities, Phys. Rev. Lett. 98 (2007), 064102.

 

44. J. Campos, M.J. Romero-Vallés, P.J. Torres,  A fractal structure in a bouncing ball model, Int. J. Qualitative Th. Diff. Eqs Appl. Vol. 1(2007), 76-87.

 

43. J. Campos, M.J. Romero-Vallés, P.J. Torres, J.J.P. Veerman, Dynamics of a jumping particle on a staircase profile, Chaos, Solitons & Fractals 32-2 (2007), 415-426.

 

42. J. Chu, P.J. Torres, Applications of Schauder's Fixed Point Theorem to Singular Differential Equations, Bull. London Math. Soc. 39 (2007), 653-660.

 

41. Jifeng Chu, Pedro J. Torres, Meirong  Zhang, Periodic solutions of second order non-autonomous singular dynamical systems, J. Differential Equations 239 (2007), 196-212.

Top Cited Article 2007-2011 (among the 20 most cited articles published in Journal of Differential Equations)

 

40. D. Franco, E. Liz and P.J. Torres, Existence of periodic solutions for population models with periodic delay, Indian J. Pure Appl. Math. Vol.38 n.3 (2007), 143-152.

 

39. D. Nuñez, P.J. Torres, KAM dynamics and stabilization of a particle sliding over a periodically driven curve, Applied Mathematical Letters 20(6) (2007), 610-615.

 

38. V.M. Pérez-García, P.J. Torres, and G.D. Montesinos, The method of moments for Nonlinear Schrodinger Equations: Theory and Applications, SIAM J. Appl. Math. 67(4) (2007),  990-1115.

 

37. P.J. Torres, Weak singularities may help periodic solutions to exist, J. Differential Equations 232 (2007), 277-284.

Top Cited Article 2007-2011 (among the 20 most cited articles published in Journal of Differential Equations)

 

36. P.J. Torres, Existence of closed solutions for a polynomial first order differential equation, J. Math. Anal. Appl. 328 (2007), 1108-1116.

 

35. P.J. Torres, Existence and stability of periodic solutions for second order semilinear differential equations with a singular nonlinearity, Proceedings of the Royal Society of Edinburgh 137A (2007), 195-201.          

 

 

34. J. Lei and P.J. Torres, $L^1$ criteria for stability of periodic solutions of a newtonian equation, Math. Proc. Cambridge Philos. Soc. 140-2 (2006), 359-368.

 

33. V.M. Pérez-García, P.J. Torres, V.V. Konotop, Similarity transformations for nonlinear Schödinger equations with time-dependent coefficients, Physica D 221, n. 1 (2006), 31-36.

 

32. P.J. Torres, Non-trivial periodic solutions of a non-linear Hill’s equation with positively homogeneous term, Nonlinear Anal. 65 (2006), 841-844.

 

31. P.J. Torres, Guided waves in a multi-layered optical structure, Nonlinearity 19 (2006), 2103-2113.

 

 

30. J.M. Almira, N. Del-Toro, P.J. Torres, Stability invariance of a periodic linear switched system, Dynamics of Continuous, Discrete and Impulsive Systems Serie A: Mathematical Analysis 12, n.1 (2005), 139-148.

 

29. J. Lei, P.J. Torres and M. Zhang, Twist character of the fourth order resonant periodic solution, J. Dynam. Differential Equations 17, n.1 (2005), 21 - 50.

 

28. F. Mañosas, P.J. Torres, Isochronicity on a class of piecewise continuous oscillators, Proc. Amer. Math. Soc. 133 (2005), 3027-3035.

 

27. D. Qian, P.J. Torres, Periodic motions of linear impact oscillators via the successor map, SIAM J. Math. Anal. 36, n.6 (2005), 1707-1725.          

 

 

26. G.D. Montesinos, V.M. Pérez-García, P.J. Torres, Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: Matter wave breathers, Physica D 191 (2004), 193-210.

 

25. D. Qian, P.J. Torres, Bouncing solutions of an equation with attractive singularity, Proceedings of the Royal Society of Edinburgh 134A (2004), 201-213.

 

24. P.J. Torres, Some remarks on a Neumann boundary value problem arising in fluid dynamics, ANZIAM Journal 45, n.3 (2004), 327-332.

 

23. P.J. Torres, Non-collision periodic solutions of forced dynamical systems with weak singularities, Discrete and Continuous Dynamical Systems 11 (2004), 693-698.

 

22. P.J. Torres, Existence and stability of periodic solutions of a Duffing equation by using a new maximum principle, Mediterranean Journal of Mathematics 1, n.4 (2004), 479-486.

 

21. P.J. Torres, M. Zhang, Twist periodic solutions of repulsive singular equations, Nonlinear Anal. 56 (2004), 591-599.        

 

 

20. A. Lomtatidze, P.J. Torres, On a two-point boundary value problem for second order singular equations, Czechoslovak Math. J. 53(128) n. 1 (2003) , 19-43.

 

19. D. Núñez, P.J. Torres, Stable odd solutions of some periodic equations modeling satellite motion, J. Math. Anal. Appl. 279 (2003), 700-709.

 

18. P.J. Torres, Existence of one-signed periodic solutions of some second order differential equations via a Krasnoselskii fixed point theorem, J. Differential Equations 190 (2003), 643-662.

 

17. P.J. Torres, M. Zhang, A monotone iterative scheme for a nonlinear second order equation based on a generalized anti-maximum principle, Math. Nachr. 251 (2003), 101-107.          

         

 

16. A. Fonda, P.J. Torres, Multiple solutions of positively homogeneous equations, Nonlinear Anal. 49 (2002), 1137-1147.

 

15. P.J. Torres, Periodic solutions of some differential equations with nonlinear damping, Differential Integral Equations 15 (2002), 17-32.

 

14. P.J. Torres, Twist solutions of a Hill's equation with singular term , Advanced Nonlinear Studies 2 (2002), 279-287.      

         

 

13. J.M. Almira, P.J. Torres, Invariance of the stability of Meissner's equation under a perturbation of its intervals, Annali di Matematica Pura ed Applicata 180, n.2 (2001), 245-253.

 

12. P. Habets, P.J. Torres, Some multiplicity results for periodic solutions of a Rayleigh differential equation, Dynamics of Continuous, Discrete and Impulsive Systems Serie A: Mathematical Analysis 8, n.3 (2001), 335-347.

 

11. D. Núñez, P.J. Torres, Periodic solutions of twist type of an earth satellite equation, Discrete and Continuous Dynamical Systems 7 (2001), 303-306.

 

10. P.J. Torres, Necessary and sufficient conditions for existence of periodic motions of forced systems of particles, Z. Angew. Math. Phys. 52 (2001), 535-540.

         

 

9. V.M. Pérez-García, P. Torres, J.J. García-Ripoll, H. Michinel, Moment analysis of paraxial propagation in a nonlinear graded index fibre, J. Opt. B: Quantum Semiclass. Opt. 2 (2000), 353-358.

 

8. P.J. Torres, Existence and uniqueness of elliptic periodic solutions of the Brillouin electron beam focusing system, Math. Methods Appl. Sci. 23 (2000), 1139-1143.

 

7. P.J. Torres, Periodic motions of forced infinite lattices with nearest neighbor interaction, Z. Angew. Math. Phys. 51 (2000), 333-345.

 

6. P.J. Torres, F. Zanolin, Periodic motion of a system of two or three charged particles, J. Math. Anal. Appl. 250 (2000), 375-386.          

         

 

5. J. Campos, P.J Torres, On the structure of the set of bounded solutions on a periodic Lienard equation, Proc. Amer. Math. Soc. 127 (1999), 1453-1462.

 

4. J.J. Garcia-Ripoll, V.M. Pérez-García, P.Torres, Extended parametric resonances in nonlinear Schrödinger systems, Physical Review Letters 83 (9) (1999), 1715-1718.                   

         

 

3. P.J. Torres, Bounded solutions in singular equations of repulsive type, Nonlinear Anal. 32 (1998),117-125.

 

2. P.J. Torres, Solving a paradox about discontinuous damping, Austral. Math. Soc. Gaz. 25 (1998), 190-191. 

        

 

1. P. Martínez-Amores, P.J. Torres, Dynamics of a periodic differential equation with a singular nonlinearity of attractive type, J. Math. Anal. Appl. 202 (1996), 1027-1039.