Panayotis G. Panayotaros

Publicaciones

• E. Guerra Velasco, P. Panayotaros, B. Percino Figueroa, R.M. Vargas Magaña, Linear water waves in isosceles triangular domains, Phys. Fluids 38, 012116 (2026). [ DOI ]
• P. Panayotaros, G. Reyes Valencia, Anticontinuous limit for discrete Landau–de Gennes theory, J. Nonlin. Waves 1, e16, 1-34 (2025). [ DOI ]
• P. Panayotaros, R.M. Vargas Magaña, Lowest mode interactions in a water wave model for a domain with inclined walls, Wave Motion 134, 103453 (2025). [ DOI ]
• J. Carter, D. Henderson, P. Panayotaros, The spatial Whitham equation, J. Fluid Mech. 996, A42, 1-25 (2024). [ DOI ]
• G. Reyes, P. Panayotaros, J.A. Reyes, Surface guided modes in a composite liquid crystal-based interface, J. Appl. Phys. 135, 023103 (2024). [ DOI ]
• P. Panayotaros, Stationary solutions of discrete Landau–de Gennes theory: 3 × 3 Q-tensor case, Physica D 449, 133751 (2023). [ DOI ]
• P. Panayotaros, R.M. Vargas Magaña, Hamiltonian water wave model in a triangular domain, Wave Motion 117, 103106 (2023). [ DOI ]
• P. Panayotaros, R.M. Vargas-Magaña, Water waves in a domain with inclined walls, Euro. J. Mech.-B Fluids 96, 108-121 (2022). [ DOI ]
• P. Panayotaros, Equilibria of a discrete Landau-de Gennes theory for nematic liquid crystals, Europhys. J. - S. T. 231, 3, 297-307 (2022). [ DOI ]
• P. Panayotaros, Discrete nonlinear Schrödinger systems for periodic media with nonlocal nonlinearity: the case of nematic liquid crystals, Appl. Sci. 11(10), 4420 (2021). [ DOI ]
• J.G. Caputo, G. Cruz, A. Knippel, P. Panayotaros, Spectra of chains connected to complete graphs, Lin. Alg. Appl. 605, 29-62 (2020).
• P. Borgna, P. Panayotaros, D. Rial, C. Sánchez de la Vega, Optical solitons in nematic liquid crystals: Arbitrary deviation angle model, Physica D 408, 132448 (2020). [ DOI ]
• R.M. Vargas Magaña, A. Minzoni, P. Panayotaros, Linear Modes for Channels of Constant Cross-Section and Approximate Dirichlet–Neumann Operators., Water Waves, 1, 343-370 (2019). [ DOI ]
• J.A. Vélez Pérez, P. Panayotaros, Wannier functions and discrete NLS equations for nematicons, Mathematics in Engineering, 1(2), 309–326 (2019). [ DOI ]
• R. Martínez Galicia, P. Panayotaros, Classical breathers and quantum coherent states in discrete NLS systems, Phys. Let. A 383, 164-169 (2019). [ DOI ]
• G. Assanto, P. Panayotaros, N. Smyth, Mechanical analogies for nonlinear light beams in nonlocal nematic liquid crystals, J. Nonlin. Opt. Phys. Materials 27, 1850046 (2018). [ DOI ]
• F. Martínez-Farias, P. P. Panayotaros, Time evolution of localized solutions in 1-D inhomogeneous FPU model. Euro. Phys. J. - S. T. 227, 575-589 (2018).
• J.P. Borgna, P. Panayotaros, D. Rial, C. Sánchez de la Vega, Optical solitons in nematic liquid crystals model with saturation effects Nonlinearity 31, 1535–1559 (2018).
• J. G. Caputo, I. Khames, A. Knippel, P. Panayotaros, Periodic orbits in nonlinear wave equations on networks J. Phys. A: Math. Theor. 50 375101 (2017).
• R.I. Ben, J.P. Borgna, P. Panayotaros, Properties of localized solutions in nonlocal discrete NLS, Comm. Math. Sci. 15, 2143–2175 (2017).
• R. Martínez-Galicia, P. Panayotaros, Coherent states and localization in a quantized discrete NLS lattice J. Nonlin. Opt. Phys. Materials 25, 1650047 (2016).
• P. Panayotaros, Shelf solutions and dispersive shocks in a discrete NLS equation: effects of nonlocality J. Nonlin. Opt. Phys. Materials 25, 1650045 (2016).
• R.M. Vargas-Magaña, P. Panayotaros A Whitham-Boussinesq models for variable depth. Wave Motion 65, 156-174 (2016).
• F. Martínez-Farías, P. Panayotaros Breather solutions for inhomogeneous FPU models using Birkhoff normal forms. Physica D 335, 10-25 (2016)
• R. Martínez-Galicia, P. Panayotaros Localization and coherent states in a quantum DNLS trimer. Euro. Phys. J. - S. T. 225, 2717–2727 (2016).
• J.G. Caputo, G. Cruz, P. Panayotaros: Bistable reaction-diffusion on a network. J. Phys. A: Math. Theor. 48, 075102 (2015).
• R. Ben, L. Cisneros, A.A. Minzoni, P. Panayotaros: Localized solutions for a nonlocal discrete NLS equation. Phys. Let. A 379, 1705-1714 (2015)
• Martínez-Farías, P. Panayotaros, A. Olvera, Weakly nonlinear localization for a 1-D FPU chain with clustering zones. Euro. Phys. J. - S. T. 223, 13, 2943-2952 (2014).
• P. Panayotaros, F. Rivero: Multi-peak breather stability in a dissipative discrete NLS equation. J. Nonlin. Opt. Phys. Materials 23, 4, 1450044-1450057, (2014).
• P. Panayotaros, T.R. Marchant: Solitary waves in nematic liquid crystals. Physica D 268, 106-117 (2014).
• P. Panayotaros, F. Rivero: Multistability and localized attractors in a dissipative discrete NLS equation. Disc. Cont. Dyn. Syst. B 1137-1154 (2014).
• P. Aceves-Sánchez, A.A. Minzoni, P. Panayotaros: Numerical study of a nonlocal model for water-waves with variable depth. Wave Motion 50, 80-93 (2013).
• P. Panayotaros: Instabilities of breathers in a finite NLS lattice Physica D 241, 847-856 (2012).
• P. Panayotaros, A. Aceves, Stabilization of coherent breathers in perturbed Hamiltonian coupled oscillators Phys. Lett. A 375, 45, 3964-3972 (2011).
• P. Panayotaros, Continuation and bifurcations of breathers in a finite discrete NLS equation. Discrete and Continuous Dynamical Systems S 4, 5, 1227-1245 (2011).
• P. Panayotaros, Continuation of normal modes in finite NLS lattices Phys. Lett. A 374, 38, 3912-3919 (2010).
• G. Cruz-Pacheco, L. Esteva, A.A. Minzoni, P. Panayotaros, N. Smyth: Modelación Matemática de la epidemia. Artículo en ``La UNAM ante una emergencia sanitaria'', J. Narro Robles, J. Martuscelli (coordinadores), UNAM, Mexico D.F. (2010).
• P. Panayotaros, M. Sepúlveda, O. Vera, Solitary waves for a coupled nonlinear Schrödinger system with dispersion management Electronic Journal of Differential Equations 2010, No. 107, 1-26 (2010).
• G. Cruz-Pacheco, L. Duran, L. Esteva, A.A. Minzoni, M.Lopez-Cervantes, P. Panayotaros, A. Ahued-Ortega, I. Villaseñor Ruiz: Modelling of the influenza A(H1N1) outbreak in Mexico City, April-May 2009, with control measures. Eurosurveillance 14, Issue 26 (2009).
• P. Panayotaros, Linear stability of real breathers of the discrete NLS Phys. Lett. A 373, 957-963 (2009).
• P. Panayotaros, Invariant tori in the discrete NLS with small amplitude diffraction management Physica D 37, 829-839 (2008).
• P. Panayotaros, D.E. Pelinovsky, Periodic oscillations of discrete NLS solitons in the presence of diffraction management Nonlinearity 21, 1265-1279 (2008).
• L.A. Cisneros, A.M. Minzoni, P. Panayotaros, N.F. Smyth: Modulation analysis of large scale discrete vortices , Phys. Rev. E 78, 036604 (2008).
• P. Panayotaros: Continuation of breathers in the discrete NLS with rapid parametric forcing
• P. Panayotaros, Multibreather solitons in the diffraction managed NLS equation Phys. Let. A 349, 430-438 (2006).
• P. Panayotaros: Breather solutions in the diffraction managed NLS equation, Physica D 206, 213-231 (2005)
• P. Panayotaros, Averaging and Benjamin-Feir instabilities in a parametrically forced nonlinear Schrödinger equation Phys. Lett. A 323, 403-414 (2004).
• P. Panayotaros: Quartic normal forms for the periodic dispersion managed nonlinear Schrödinger equation, Physica D 191, 219-237 (2004).
• P. Panayotaros: Minimal Jacobi geodesics in the planar n-center problem, preimpreso (2002).
• P. Panayotaros, An expansion method for non-linear Rayleigh waves Wave Motion 36, 1-21 (2002).
• P. Panayotaros, Amplitude equations for non-linear Rayleigh waves Phys. Lett. A 289, 111-120 (2001).
• P. Panayotaros: Traveling surface elastic waves in the half-plane, Proc. A.M.S.-I.M.S.-S.I.A.M. Conf. on Dispersive wave turbulence, Contemp. Math. 283, 83-90 (2001).
• P. Panayotaros: Stability of traveling water waves on the sphere, Proc. of 1999 I.M.A.C.S. Conf. on Nonlinear waves, Math. Com. Sim. 55, 577-584 (2001).
• P. Panayotaros: Nekhoroshev stability of non-linear normal modes near an elliptic fixed point of a Hamiltonian system with symmtrye, preimpreso disponible por http://www.ma.utexas.edu/mp_arc/papers/99-62
• P. Panayotaros, Near-monochromatic water waves on the sphere Physica D 130, 273-290 (1999).
• P. Panayotaros, Diagrams in classical and semi-classical perturbation theory J. Math. Phys. 39, 4, 1997-2003 (1998).
• P. Panayotaros: Numerical simulation of surface water waves on the sphere, preimpreso disponible por http://www.ma.utexas.edu/mp_arc/papers/97-460 (1997).
• R. de la Llave, P. Panayotaros, Gravity waves on the surface of the sphere J. Nonlin. Sci. 6, 147-167 (1996).

Tesis Dirigidas

Becarios Posdoctorales