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  1. Discrete map reduction of bursting flows in periodically driven cylindrical cavities

    Article • Physics of Fluids, October 2025, American Institute of Physics

    Professor Francisco Marques

  2. Escaping dynamics of relativistic protons in the Earth's magnetosphere

    Article • Physical Review E, April 2025, American Physical Society (APS)

    Professor Francisco Marques

  3. Stably stratified Taylor–Couette flows

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, March 2023, Royal Society Publishing

    Professor Francisco Marques

  4. Impact of nonuniform ambient stratification on thermal plume dynamics

    Article • Physical Review Fluids, February 2023, American Physical Society (APS)

    Professor Francisco Marques

  5. Phase-locking flows between orthogonally stretching parallel plates

    Article • Physics of Fluids, October 2022, American Institute of Physics

    Professor Francisco Marques

  6. Stratified Taylor–Couette flow: nonlinear dynamics

    Article • Journal of Fluid Mechanics, November 2021, Cambridge University Press

    Professor Francisco Marques

  7. Flows between orthogonally stretching parallel plates

    Article • Physics of Fluids, February 2021, American Institute of Physics

    Professor Francisco Marques

  8. Impact of centrifugal buoyancy on strato-rotational instability

    Article • Journal of Fluid Mechanics, March 2020, Cambridge University Press

    Professor Francisco Marques

  9. Extensional and torsional pipe flow

    Article • Physical Review Fluids, October 2019, American Physical Society (APS)

    Professor Francisco Marques

  10. Rapidly rotating precessing cylinder flows: forced triadic resonances

    Article • Journal of Fluid Mechanics, January 2018, Cambridge University Press

    Professor Francisco Marques

  11. Extensional channel flow revisited: a dynamical systems perspective

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, June 2017, Royal Society Publishing

    Professor Francisco Marques

  12. Inertial waves in rapidly rotating flows: a dynamical systems perspective

    Article • Physica Scripta, November 2016, Institute of Physics Publishing

    Professor Francisco Marques

  13. Nonlinear and detuning effects of the nutation angle in precessionally forced rotating cylinder flow

    Article • Physical Review Fluids, June 2016, American Physical Society (APS)

    Professor Francisco Marques

  14. Conductive and convective heat transfer in fluid flows between differentially heated and rotating cylinders

    Article • International Journal of Heat and Mass Transfer, November 2015, Elsevier

    Professor Francisco Marques

  15. Precession of a rapidly rotating cylinder flow: traverse through resonance

    Article • Journal of Fluid Mechanics, October 2015, Cambridge University Press

    Professor Francisco Marques

  16. Dynamics of axially localized states in Taylor-Couette flows

    Article • Physical Review E, May 2015, American Physical Society (APS)

    Professor Francisco Marques

  17. Spontaneous generation of a swirling plume in a stratified ambient

    Article • Journal of Fluid Mechanics, November 2014, Cambridge University Press

    Juan Lopez, Professor Francisco Marques

  18. Three-dimensional instabilities in a discretely heated annular flow: Onset of spatio-temporal complexity via defect dynamics

    Article • Physics of Fluids, June 2014, American Institute of Physics

    Professor Francisco Marques

  19. Rapidly rotating cylinder flow with an oscillating sidewall

    Article • Physical Review E, January 2014, American Physical Society (APS)

    Professor Francisco Marques

  20. Confined rotating convection with large Prandtl number: Centrifugal effects on wall modes

    Article • Physical Review E, January 2014, American Physical Society (APS)

    Professor Francisco Marques

  21. The Boussinesq approximation in rapidly rotating flows

    Article • Journal of Fluid Mechanics, November 2013, Cambridge University Press

    Professor Francisco Marques

  22. Instability of plumes driven by localized heating

    Article • Journal of Fluid Mechanics, November 2013, Cambridge University Press

    Professor Francisco Marques, Juan Lopez

  23. Fold-pitchfork bifurcation for maps with Z 2 symmetry in pipe flow

    Article • Physical Review E, July 2013, American Physical Society (APS)

    Professor Francisco Marques

  24. Mode competition in cylindrical flows driven by sidewall oscillations

    Article • Physical Review E, April 2013, American Physical Society (APS)

    Professor Francisco Marques

  25. Bifurcations with imperfect SO(2) symmetry and pinning of rotating waves

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, February 2013, Royal Society Publishing

    Professor Francisco Marques, Juan Lopez

  26. Symmetry-breaking Hopf bifurcations to 1-, 2-, and 3-tori in small-aspect-ratio counterrotating Taylor-Couette flow

    Article • Physical Review E, October 2012, American Physical Society (APS)

    Professor Francisco Marques

  27. Introductory remarks from the Editors

    Article • Fluid Dynamics Research, May 2012, Institute of Physics Publishing

    Professor Francisco Marques

  28. Instabilities and inertial waves generated in a librating cylinder

    Article • Journal of Fluid Mechanics, November 2011, Cambridge University Press

    Professor Francisco Marques

  29. Transitions to three-dimensional flows in a cylinder driven by oscillations of the sidewall

    Article • Journal of Fluid Mechanics, June 2011, Cambridge University Press

    Professor Francisco Marques

  30. Sidewall boundary layer instabilities in a rapidly rotating cylinder driven by a differentially corotating lid

    Article • Physics of Fluids, November 2010, American Institute of Physics

    Professor Francisco Marques

  31. Pinning of rotating waves to defects in finite Taylor–Couette flow

    Article • Journal of Fluid Mechanics, October 2010, Cambridge University Press

    Professor Francisco Marques

  32. Optimal harmonic response in a confined Bödewadt boundary layer flow

    Article • Physical Review E, September 2010, American Physical Society (APS)

    Professor Francisco Marques

  33. Onset of Küppers–Lortz-like dynamics in finite rotating thermal convection

    Article • Journal of Fluid Mechanics, January 2010, Cambridge University Press

    Professor Francisco Marques

  34. Crossflow instability of finite Bödewadt flows: Transients and spiral waves

    Article • Physics of Fluids, November 2009, American Institute of Physics

    Professor Francisco Marques

  35. Instability mechanisms and transition scenarios of spiral turbulence in Taylor-Couette flow

    Article • Physical Review E, October 2009, American Physical Society (APS)

    Professor Francisco Marques

  36. Centrifugal effects in rotating convection: nonlinear dynamics

    Article • Journal of Fluid Mechanics, June 2009, Cambridge University Press

    Professor Francisco Marques

  37. Interacting oscillatory boundary layers and wall modes in modulated rotating convection

    Article • Journal of Fluid Mechanics, April 2009, Cambridge University Press

    Professor Francisco Marques

  38. Families of subcritical spirals in highly counter-rotating Taylor-Couette flow

    Article • Physical Review E, March 2009, American Physical Society (APS)

    Professor Francisco Marques

  39. Harmonically forced enclosed swirling flow

    Article • Physics of Fluids, March 2009, American Institute of Physics

    Professor Francisco Marques

  40. Shear instabilities in Taylor-Couette flow

    Article • January 2009, Springer Science + Business Media

    Professor Francisco Marques

  41. Global endwall effects on centrifugally stable flows

    Article • Physics of Fluids, October 2008, American Institute of Physics

    Professor Francisco Marques

  42. Bursting dynamics due to a homoclinic cascade in Taylor–Couette flow

    Article • Journal of Fluid Mechanics, October 2008, Cambridge University Press

    Professor Francisco Marques

  43. Modulated rotating convection: radially travelling concentric rolls

    Article • Journal of Fluid Mechanics, July 2008, Cambridge University Press

    Professor Francisco Marques

  44. Mode competition in modulated Taylor–Couette flow

    Article • Journal of Fluid Mechanics, April 2008, Cambridge University Press

    Professor Francisco Marques

  45. Quenching of vortex breakdown oscillations via harmonic modulation

    Article • Journal of Fluid Mechanics, March 2008, Cambridge University Press

    Professor Francisco Marques

  46. Influence of wall modes on the onset of bulk convection in a rotating cylinder

    Article • Physics of Fluids, February 2008, American Institute of Physics

    Professor Francisco Marques

  47. Stability control and catastrophic transition in a forced Taylor–Couette system

    Article • Journal of Fluid Mechanics, October 2007, Cambridge University Press

    Professor Francisco Marques

  48. Onset of convection in a moderate aspect-ratio rotating cylinder: Eckhaus–Benjamin–Feir instability

    Article • Journal of Fluid Mechanics, October 2007, Cambridge University Press

    Professor Francisco Marques

  49. Solenoidal spectral formulations for the computation of secondary flows in cylindrical and annular geometries

    Article • The European Physical Journal Special Topics, July 2007, Springer Science + Business Media

    Professor Francisco Marques

  50. Centrifugal effects in rotating convection: axisymmetric states and three-dimensional instabilities

    Article • Journal of Fluid Mechanics, May 2007, Cambridge University Press

    Professor Francisco Marques

  51. Travelling circular waves in axisymmetric rotating convection

    Article • Journal of Fluid Mechanics, November 2006, Cambridge University Press

    Professor Francisco Marques

  52. Onset of three-dimensional unsteady states in small-aspect-ratio Taylor–Couette flow

    Article • Journal of Fluid Mechanics, August 2006, Cambridge University Press

    Professor Francisco Marques

  53. Double Hopf bifurcation in corotating spiral Poiseuille flow

    Article • Physics of Fluids, June 2006, American Institute of Physics

    Professor Francisco Marques

  54. Finite aspect ratio Taylor–Couette flow: Shil’nikov dynamics of 2-tori

    Article • Physica D Nonlinear Phenomena, November 2005, Elsevier

    Professor Francisco Marques

  55. Mode competition of rotating waves in reflection-symmetric Taylor–Couette flow

    Article • Journal of Fluid Mechanics, September 2005, Cambridge University Press

    Professor Francisco Marques

  56. On the stability of medium gap corotating spiral Poiseuille flow

    Article • Physics of Fluids, September 2005, American Institute of Physics

    Professor Francisco Marques

  57. Symmetry Breaking Via Global Bifurcations of Modulated Rotating Waves in Hydrodynamics

    Article • Physical Review Letters, February 2005, American Physical Society (APS)

    Professor Francisco Marques

  58. Three-dimensional modes in a periodically driven elongated cavity

    Article • Physical Review E, February 2005, American Physical Society (APS)

    Professor Francisco Marques

  59. Symmetry breaking of two-dimensional time-periodic wakes

    Article • Journal of Fluid Mechanics, January 2005, Cambridge University Press

    Professor Francisco Marques

  60. Bicritical instabilities in pressure driven helicoidal flows

    Article • Journal of Physics Conference Series, January 2005, Institute of Physics Publishing

    Professor Francisco Marques

  61. Preface

    Article • Theoretical and Computational Fluid Dynamics, November 2004, Springer Science + Business Media

    Professor Francisco Marques

  62. From global to local bifurcations in a forced Taylor–Couette flow

    Article • Theoretical and Computational Fluid Dynamics, November 2004, Springer Science + Business Media

    Professor Francisco Marques

  63. Mode competition between rotating waves in a swirling flow with reflection symmetry

    Article • Journal of Fluid Mechanics, May 2004, Cambridge University Press

    Professor Francisco Marques

  64. Bifurcations in systems with Z2 spatio-temporal and O(2) spatial symmetry

    Article • Physica D Nonlinear Phenomena, March 2004, Elsevier

    Professor Francisco Marques

  65. Symmetry breaking in free-surface cylinder flows

    Article • Journal of Fluid Mechanics, March 2004, Cambridge University Press

    Professor Francisco Marques

  66. Complex dynamics in a short annular container with rotating bottom and inner cylinder

    Article • Journal of Fluid Mechanics, February 2004, Cambridge University Press

    Professor Francisco Marques

  67. Small aspect ratio Taylor-Couette flow: Onset of a very-low-frequency three-torus state

    Article • September 2003, American Physical Society (APS)

    Professor Francisco Marques

  68. Tangent double Hopf bifurcation in a differentially rotating cylinder flow

    Article • July 2003, American Physical Society (APS)

    Professor Alexander Yuri Gelfgat, Professor Francisco Marques

  69. Modulated Taylor-Couette Flow: Onset of Spiral Modes

    Article • Theoretical and Computational Fluid Dynamics, November 2002, Springer Science + Business Media

    Professor Francisco Marques

  70. Preface

    Article • Theoretical and Computational Fluid Dynamics, November 2002, Springer Science + Business Media

    Professor Francisco Marques

  71. Instability and mode interactions in a differentially driven rotating cylinder

    Article • Journal of Fluid Mechanics, July 2002, Cambridge University Press

    Professor Francisco Marques

  72. A Continuation and Bifurcation Technique for Navier–Stokes Flows

    Article • Journal of Computational Physics, July 2002, Elsevier

    Professor Francisco Marques

  73. Imperfect gluing bifurcation in a temporal glide-reflection symmetric Taylor–Couette flow

    Article • Physics of Fluids, June 2002, American Institute of Physics

    Professor Francisco Marques

  74. On the competition between centrifugal and shear instability in spiral Poiseuille flow

    Article • Journal of Fluid Mechanics, March 2002, Cambridge University Press

    Professor Francisco Marques

  75. Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2

    Article • Journal of Fluid Mechanics, March 2002, Cambridge University Press

    Professor Francisco Marques

  76. An Efficient Spectral-Projection Method for the Navier–Stokes Equations in Cylindrical Geometries

    Article • Journal of Computational Physics, March 2002, Elsevier

    Professor Francisco Marques

  77. A periodically forced flow displaying symmetry breaking via a three-tori gluing bifurcation and two-tori resonances

    Article • Physica D Nonlinear Phenomena, August 2001, Elsevier

    Professor Francisco Marques

  78. Oscillatory modes in an enclosed swirling flow

    Article • Journal of Fluid Mechanics, July 2001, Cambridge University Press

    Professor Francisco Marques

  79. Precessing vortex breakdown mode in an enclosed cylinder flow

    Article • Physics of Fluids, June 2001, American Institute of Physics

    Professor Francisco Marques

  80. Endwall effects in a periodically forced centrifugally unstable flow

    Article • Fluid Dynamics Research, August 2000, Institute of Physics Publishing

    Professor Francisco Marques

  81. Dynamics of Three-Tori in a Periodically Forced Navier-Stokes Flow

    Article • Physical Review Letters, July 2000, American Physical Society (APS)

    Professor Francisco Marques

  82. Spatial and temporal resonances in a periodically forced hydrodynamic system

    Article • Physica D Nonlinear Phenomena, February 2000, Elsevier

    Professor Francisco Marques

  83. On the competition between centrifugal and shear instability in spiral Couette flow

    Article • Journal of Fluid Mechanics, January 2000, Cambridge University Press

    Professor Francisco Marques

  84. Axial effects in the Taylor—Couette problem: Spiral—Couette and Spiral—Poiseuille flows

    Article • January 2000, Springer Science + Business Media

    Professor Francisco Marques

  85. Determining the self-rotation number following a Naimark—Sacker bifurcation in the periodically forced Taylor—Couette flow

    Article • Zeitschrift für angewandte Mathematik und Physik, January 2000, Springer Science + Business Media

    Professor Francisco Marques

  86. Generalized Couette–Poiseuille flow with boundary mass transfer

    Article • Journal of Fluid Mechanics, November 1998, Cambridge University Press

    Professor Francisco Marques

  87. Non-linear spirals in the Taylor–Couette problem

    Article • Physics of Fluids, April 1998, American Institute of Physics

    Professor Francisco Marques

  88. Taylor–Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow

    Article • Journal of Fluid Mechanics, October 1997, Cambridge University Press

    Professor Francisco Marques

  89. FEIGENBAUM’S UNIVERSALITY IN A LOW-DIMENSIONAL FLUID MODEL

    Article • International Journal of Bifurcation and Chaos, August 1996, World Scientific Pub Co Pte Lt

    Professor Francisco Marques

  90. Thermal convection in vertical cylinders. A method based on potentials of velocity

    Article • Computer Methods in Applied Mechanics and Engineering, December 1993, Elsevier

    Professor Francisco Marques

  91. Spiral vortices between concentric cylinders

    Article • Applied Scientific Research, June 1993, Springer Science + Business Media

    Professor Francisco Marques

  92. On boundary conditions for velocity potentials in confined flows: Application to Couette flow

    Article • Physics of Fluids A Fluid Dynamics, May 1990, American Institute of Physics

    Professor Francisco Marques

  93. Realization of Poincaré group induced by a second-order ordinary differential system. Noninteraction theorem

    Article • Journal of Mathematical Physics, February 1986, American Institute of Physics

    Professor Francisco Marques

  94. World-line condition and the noninteraction theorem

    Article • Physical Review D, January 1985, American Physical Society (APS)

    Professor Francisco Marques

  95. Comparison of several approaches to the relativistic dynamics of directly interacting particles

    Article • Annals of Physics, October 1983, Elsevier

    Professor Francisco Marques

  96. The problem of physical coordinates in predictive Hamiltonian systems

    Article • Journal of Mathematical Physics, June 1983, American Institute of Physics

    Professor Francisco Marques

  97. Classical predictive electrodynamics of two charges with radiation: Energy and 3-momentum balance and scattering cross sections. II

    Article • Journal of Mathematical Physics, July 1979, American Institute of Physics

    Professor Francisco Marques