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Ana Maria Mancho

Institution: CSIC

Position: Científico Titular

Phone: +34 912999 762


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.