Panayotis G. Panayotaros

Investigador Titular "B"
Departamento de Matemáticas y Mecánica
IIMAS, Universidad Nacional Autónoma de México

Mat. (University of Chicago, EUA),
M.S., Ph.D. (University of Texas at Austin, EUA).

56 22 36 00
panos _AT_ mym.iimas.unam.mx

PUBLICACIONES

• 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, pp. 3964-3972. 2011.
• P. Panayotaros: Continuation and bifurcations of breathers in a finite discrete NLS equation. Discrete and Continuous Dynamical Systems S 4, 5, pp. 1227 - 1245. 2011.
• P. Panayotaros: Continuation of normal modes in finite NLS lattices Phys. Lett. A 374, 38, pp. 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, Vol. 2010(2010), No. 107, pp. 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, pp. 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, 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
• R. de la Llave, P. Panayotaros: Gravity waves on the surface of the sphere, J. Nonlin. Sci. 6, 147-167 (1996)

TESIS DIRIGIDAS:

• Ricardo Martínez Galicia: Localización y estados coherentes en una red discreta NLS cuántica, Posgrado en Ciencias Matemáticas, Doctorado, 2020.
• Rosa María Vargas Magaña: Modelos no locales en la teoría de ondas en aguas someras con profundidad variable, Posgrado en Ciencias Matemáticas, Doctorado, 2017.
• Francisco Javier Martínez Farías: Oscilaciones localizadas en redes elásticas y modelos de proteínas. Posgrado en Ciencias Matemáticas, Doctorado, 2016.
• Pablo Alexei Gazca Orozco: Cálculo numérico de estado base en ecuaciones tipo Schrödinger no lineal. Licenciatura, 2015.
• Oscar Chávez Molina: Teoría Chern-Simons y la ecuación NLS. Maestría, 2011.
• Francisco Javier Martínez Martínez: Método espectral para ondas de agua sujetas a un campo de gravedad. Maestría, 2011.
• Pedro Aceves Sánchez: El problema de ondas de agua en profundidad variable bajo el regimen de Boussinesq. Maestría, 2010.
• José Alberto Morales Escalante: Teoría y experimentación de ondas solitarias en agua , Licenciatura, 2008. Codirección con M. C. Jorge, IIMAS - UNAM.
• Erick Yasser Martínez Serrano: Modelo presa-depredador con Bifurcación de Hopf, Licenciatura, 2006.