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Ana Maria Mancho

Institution: Consejo Superior de Investigaciones Científicas

Position: Cientifico Titular

Office: 302        Phone: +34 912999 762

E-mail: a.m.mancho()

Address:   C/ Nicolás Cabrera 15

                   Campus Cantoblanco, UAM

                   28049 Madrid 



Personal Webpage


Research Interests

 Applied Mathematics, Fluid Mechanics, Advection



Executive Editor  Nonlinear Processes in Geophysics

Member of the   Science Advisory Committee of Science Europe


Publications-- Research-- News-- Grants-- Gallery


  • V. J. García-Garrido, F. Balibrea-Iniesta, S. Wiggins, A. M. Mancho, C. Lopesino. Detection of Phase Space Structures of the Cat Map with Lagrangian Descriptors. Regular and Chaotic Dynamics  23, (6) 751-766 (2018).
  • V. J. García-Garrido, J. Curbelo, A. M. Mancho, S. Wiggins, C. R. Mechoso The Application of Lagrangian Descriptors to 3D Flows. Regular and Chaotic Dynamics  23, (5) 551-568 (2018).
  • A. G. Ramos, V. J. García-Garrido, A. M. Mancho, S. Wiggins, J. Coca, S. Glenn, O. Schofield, J. Kohut, D. Aragon, J. Kerfoot, T. Haskins, T. Miles, C. Haldeman, N. Strandskov, B. Allsup, C. Jones, and J. Shapiro. Lagrangian coherent structure assisted path planning for transoceanic autonomous underwater vehicle missions. Scientific Reports. 8, 4575 (2018).
  • A. M. Mancho, E. Hernández-García, C. López, A. Turiel, S. Wiggins, V. Pérez-Muñuzuri. Preface: Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics. Nonlin. Processes Geophys. 25, 125-127 (2018).
  • J. Curbelo, V.J. Garcia-Garrido, C. R. Mechoso, A. M. Mancho, S. Wiggins, C. Niang. Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex.. Nonlin. Processes Geophys. 24, (3) 379-292 (2017).
  • V.J. Garcia-Garrido, J. Curbelo, C. R. Mechoso, A. M. Mancho, S. Wiggins. A simple kinematic model for the Lagrangian description of relevant nonlinear processes in the stratospheric polar vortex. Nonlin. Processes Geophys. 24(1), 265-278 (2017).
  • C. Lopesino, F. Balibrea-Iniesta, V. J. García-Garrido, S. Wiggins, A. M. Mancho. A theoretical framework for Lagrangian descriptors. International Journal of Bifurcation and Chaos 27, 1730001 (2017).
  • F. Balibrea-Iniesta, C. Lopesino, S. Wiggins, A. M. Mancho. Lagrangian descriptors for stochastic differential equations: A tool for revealing the phase portrait of stochastic dynamical Systems.. International Journal of Bifurcation and Chaos 26, 1630036 (2016).
  • V. J. Garcia-Garrido, A. Ramos, A. M. Mancho, J. Coca, S. Wiggins. A dynamical systems perspective for a real-time response to a marine oil spill. Marine Pollution Bulletin 112, 201-210 (2016).
  • C. Lopesino, F. Balibrea-Iniesta, S. Wiggins, A. M. Mancho. The Chaotic Saddle in the Lozi Map, Autonomous and Nonautonomous Versions. International Journal of Bifurcation and Chaos 25 (2015) 1550184-1-18.
  • F. Balibrea-Iniesta, C. Lopesino, S. Wiggins, A. M. Mancho. Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautomous Henon Map. International Journal of Bifurcation and Chaos 25 (2015) 1550172-1-14.
  • V. J. Garcia-Garrido, A. M. Mancho, S. Wiggins, C. Mendoza. A dynamical systems approach to the surface search for debris associated with the disappearance of flight MH370. Nonlinear Processes in Geophysics 22 (6) (2015) 701-712.
  • C. Lopesino, F. Balibrea, S. Wiggins, A.M. Mancho. Lagrangian Descriptors for Two Dimensional, Area Preserving Autonomous and Nonautonomous Maps. Communications in Nonlinear Science and Numerical Simulation 27 (1-3) (2015) 40-51.
  • Ana M. Mancho. Numerical studies on the self-similar collapse of the alpha-patches problem. Communications in Nonlinear Science and Numerical Simulation 26 (1-3) (2015) 152-166.
  • C. Mendoza, A. M. Mancho, S. Wiggins. Lagrangian Descriptors and the Assesment of the Predictive Capacity of Oceanic Data Sets. Nonlinear Processes in Geophysics 21 (2014) 677-689.
  • S. Wiggins, A. M Mancho. Barriers to tranport in aperiodically time-dependent two dimensional velocity fields: Nekhoroshev's Theorem and 'Nearly Invariant' Tori. Nonlinear Processes in Geophysics 21 (2014) 165-185.
  • J. Curbelo, J. M. López, A. M. Mancho, F. Marqués. Confined rotating convection with large Prandtl number: Centrifugal effects on wall modes. Physical Review E89 (1) 013019 (2014).
  • J. Curbelo, A. M. Mancho. Spectral numerical schemes for time-dependent convection with viscosity dependent on temperature.  Communications in Nonlinear Science and Numerical Simulation. 19 (2014) 538-553.
  • J. Curbelo, A. M. Mancho. Symmetry and plate-like convection in fluids with temperature-dependent viscosity. Physics of Fluids 26, 016602.  (2014).
  • A. de la Cámara, R. Mechoso, A. M. Mancho, E. Serrano, K. Ide.  Quasi-horizontal transport within the Antarctic polar night vortex: Rossby wave breaking evidence and Lagrangian structures. Journal of the Atmospheric Sciences 70 (2013) 2982-3001.
  • J. Curbelo, A. M. Mancho. Bifurcations and dynamics in convection with temperature-dependent viscosity in the presence of the O(2) symmetry. Physical Review E. 88 (4) (2013) 043005. 
  • Ana M. Mancho, Stephen Wiggins, Jezabel Curbelo, Carolina Mendoza. Lagrangian Descriptors: A Method for Revealing Phase Space Structures of General Time Dependent Dynamical Systems.  Communications in Nonlinear Science and Numerical Simulation. 18 (2013) 3530-3557.
  • Carolina Mendoza, Ana M. Mancho. The Lagrangian description of aperiodic flows: a case study of the Kuroshio Current.  Nonlinear Processes in Geophysics 19 (4) (2012) 449-472. 
  • A. de la Cámara, A. M. Mancho, K. Ide, E. Serrano, C.R. Mechoso. Routes of transport  across the Antarctic polar vortex in the southern spring. Journal of the Atmospheric Sciences 69 (2) (2012) 753-767.
  • Michal Branicki, Ana M Mancho, Stephen Wiggins. A Lagrangian description of transport associated with a front-eddy interaction: Application to data from the North-Western Mediterranean Sea. Physica D 240 (2011), 3, 282-304.
  • A. M. Mancho, S. Wiggins, A. Turiel, E. Hernández-García, C. López, E. García-Ladona. Nonlinear Processes in Oceanic and Atmospheric Flows. Nonlinear Proc. Geoph 17 (2010), 3, 283-285.
  • Carolina Mendoza, Ana M. Mancho. The hidden geometry of ocean flows. Physical Review Letters 105 (2010), 3, 038501-1-038501-4.
  • Carolina Mendoza, Ana M. Mancho, Marie-Hélene Rio. The turnstile mechanism across the Kuroshio current: analysis of dynamics in altimeter velocity fields. Nonlinear Proc. Geoph 17 (2010), 2, 103-111.
  • F. Plá, A.M. Mancho, H. Herrero. Bifurcation phenomena in a convection problem with temperature dependent viscosity at low aspect ratio. Physica D 238 (2009), 572-580.
  • J. A. Jiménez Madrid, Ana M. Mancho. Distinguished trajectories in time dependent vector fields. Chaos 19 (2009), 013111-1-013111-18.
  • Mancho A. M., Hernandez-Garcia E., Small D., Wiggins S., Fernandez V. Lagrangian Transport through an Ocean Front in the Northwestern Mediterranean Sea. Journal of Physical Oceanography 38 (2008), 6, 1222-1237. 
  • Navarro M. C., Herrero H., Mancho A. M., Wathen A. Efficient solution of a generalized eigenvalue problem arising in a thermoconvective instability. Communications in Computational Physics 3 (2008), 2, 308-329.
  • M. C. Navarro, A. M. Mancho, H. Herrero. Instabilities in buoyant flows under localized heating. Chaos 17 (2007), 2, 023105-1- 023105-10.
  • M. C. Navarro, A. M. Mancho, H. Herrero. Instabilities due to a heating spike. Journal of Physics: Conference Series 64 (2007), 012003-1-012003-7.
  • Herrero, H., Mancho, A.M., Hoyas S. Filtering of singularities in a Marangoni convection problem. VI European Conference on Numerical Mathematics and Advanced Applications (ENUMATH2005). (NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS), 889-896, 2006.
  • Mancho, A.M.; Small, D.; Wiggins, S. A tutorial on dynamical systems concepts applied to Lagrangian transport in oceanic flows defined as finite time data sets: theoretical and computational issues. Physics Reports 437 (2006), 3-4, 55-124.
  • Mancho, A.M.; Small, D.; Wiggins, S. A comparison of methods for interpolating chaotic flows from discrete velocity data. Computers and Fluids 35 (2006), 4, 416-428.
  • Córdoba, D.; Fontelos, M. A.; Mancho, A. M.; Rodrigo, J. L. Evidence of singularities for a family of contour dynamics equations. Proc. Natl. Acad. Sci. 102 (2005), 17, 5949-5952.
  • Hoyas, S; Mancho, A.M.; Herrero, H.; Garnier, N.; Chiffaudel, A.;. Benard-Marangoni convection in a differentially heated cylindrical cavity. Phys. of Fluids. 17 (2005), 054104-1-054104-2.
  • Zorzano, M. P.; Mancho, A.M.; Vázquez, L. Numerical integration of the discrete-ordinate radiative transfer equation in strongly non-homogeneous media. Applied Mathematics and Computation 164 (2005), 1, 263-274.
  • Hoyas, S.; Mancho A.M.; Herrero, H. Thermocapillar and thermogravitatory waves in a convection problem. Theoretical and Computational Fluid dynamics 18 (2004), 2-4, 309-321.
  • Mancho, A.M.; Small, D. ; Wiggins, S. Computation of Hyperbolic Trajectories and their Stable and Unstable Manifolds for Oceanographic Flows represented as Data Sets. Nonlinear Proc. Geoph 11 (2004), 17-33.
  • Córdoba-Jabonero, C.; Lara, L.M; Mancho, A.M.; Márquez, A.; Rodrigo, R. Solar ultraviolet transfer in the Martian atmosphere: biological and geological implications. Planetary and Space Science 51 (2003), 6, 399-410.
  • Herrero, H.; Hoyas, S.; Donoso, A.; Mancho, A.M.; Chacón, J.M; Portugues R. F.; Yeste, B. Chebyshev Collocation for a Convective Problem in Primitive Variables Formulation. J. of Scientific Computing 18 (2003), 3, 315-318.
  • Jiménez, S.; Martín, I.M.; Mancho, A.M.; Pérez-García, V.M.; Vázquez, L. A Conservative Numerical Scheme for the simulation of Blow-up in the Nonlinear Schrödinger equation. Appl. Math. Comput. 134 (2003), 271-291.
  • Mancho, A.M.; Small, D.; Wiggins, S.; Ide, K. Computation of Stable and Unstable Manifolds of Hyperbolic Trajectories in Two-Dimensional, Aperiodically Time-Dependent Vectors Fields. Physica D 182 (2003), 188-222.
  • Hoyas, S. ; Herrero, H.; Mancho, A.M. Thermal convection in a cylindrical annulus heated laterally. J. Phys. A: Math. Gen. 35 (2002), 4067-4083.
  • Herrero, H; Mancho, A.M. On pressure boundary conditions for thermoconvective problems. Int. J. Numer. Meth. Fluids 39 (2002), 391-402.
  • Hoyas, S. ; Herrero, H.; Mancho, A. M. Bifurcation diversity in dynamic thermocapillary liquid layers. Phys. Rev. E 66 (2002), 057301-1-057301-4.
  • Mancho, A. M. ; Riecke, H. ; Sain, F. Instabilities and Spatio-temporal Chaos of Long-wave Hexagon Patterns in Rotating Marangoni Convection. Chaos 3 (2002), 706-718.
  • Dattoli, G. ; Mancho, A. M.; Quattromini, M.; Torre, A. Exponentials operators, generalized polynomials and evolution problems. Rad. Phys. Chem. 61 (2001), 2, 99-108.
  • Mancho, A. M. ; Herrero, H. ; Vázquez, L. ; Hoyas, S. Nonlinear plane waves in a long-wavelength convection model. Int. J. of Bifurcation and Chaos 11 (2001), 11, 2867-2874.
  • Ramón, M. L. ; Maza, D. M.; Mancini, H.; Mancho, A. M.; Herrero, H. Hexagonal structure in intermediate aspect ratio Bénard-Marangoni convection. Int. J. of Bifurcation and Chaos 11 (2001), 11, 2779-2787.
  • Herrero, H.; Mancho, A. M. Numerical modeling in Chebyshev collocation methods applied to stability analysis of convection problems. Applied Numerical Mathematics 33 (2000), 1-4, 161-166.
  • Mancho, A. M.; Herrero, H. Instabilities in a laterally heated liquid layer. Phys. of Fluids. 12 (2000), 5, 1044-1051.
  • Dattoli, G. ; Torre, A.; Mancho, A. M. The generalized Laguerre polynomials, the associated Bessel functions and application to the propagation problems. Rad. Phys. Chem. 59 (2000), 3, 229-237.
  • G. Dattoli, S. Lorenzutta, A. M. Mancho and A. Torre. Generalized polynomials and associated operational identities. J. Computational and Applied Mathematics 108 (1999), 1-2, 209-237.
  • Herrero, H.; Mancho, A. M. Influence of aspect ratio in convection due to non-uniform heating. Phys. Rev. E 57 (1998), 7336-7339.
  • Mancho, A. M.; Herrero, H. ; Burguete, J. Primary instabilities in convective cells due to non-uniform heating. Phys. Rev. E 56 (1997), 2916-2923.
  • Ponce Dawson, S. ; Mancho, A. M. Collections of Heteroclinic Cycles in the Kuramoto-Sivashinsky Equation. Physica D 100 (1997), 231-256.
  • Mancho, A. M.; Duarte, A. A.; Mindlin, G. B. Time Delay Embeddigs and the Structure of Flows. Phys. Lett. A. 221 (1996), 181-183.