Curbelo, Jezabel García-Garrido, Víctor José Mechoso, Carlos Roberto Mancho, Ana Maria Wiggins, Stephen and Niang, Coumba 2017. Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex. Nonlinear Processes in Geophysics, Vol. 24, Issue. 3, p. 379.
Lopesino, C. Balibrea-Iniesta, F. García-Garrido, V. J. Wiggins, S. and Mancho, A. M. 2017. A Theoretical Framework for Lagrangian Descriptors. International Journal of Bifurcation and Chaos, Vol. 27, Issue. 01, p. 1730001.
Rempel, E. L. Chian, A. C.-L. Beron-Vera, F. J. Szanyi, S. and Haller, G. 2017. Objective vortex detection in an astrophysical dynamo. Monthly Notices of the Royal Astronomical Society: Letters, Vol. 466, Issue. 1, p. L108.
Demian, Atanasiu Stefan and Wiggins, Stephen 2017. Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors. International Journal of Bifurcation and Chaos, Vol. 27, Issue. 14, p. 1750225.
Ruiz-Herrera, Alfonso 2016. Performance of Lagrangian descriptors and their variants in incompressible flows. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 26, Issue. 10, p. 103116.
Balibrea-Iniesta, Francisco Lopesino, Carlos Wiggins, Stephen and Mancho, Ana M. 2016. Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems. International Journal of Bifurcation and Chaos, Vol. 26, Issue. 13, p. 1630036.
García-Garrido, V.J. Ramos, A. Mancho, A.M. Coca, J. and Wiggins, S. 2016. A dynamical systems perspective for a real-time response to a marine oil spill. Marine Pollution Bulletin, Vol. 112, Issue. 1-2, p. 201.
Haller, George 2015. Lagrangian Coherent Structures. Annual Review of Fluid Mechanics, Vol. 47, Issue. 1, p. 137.
Lopesino, Carlos Balibrea, Francisco Wiggins, Stephen and Mancho, Ana M. 2015. Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps. Communications in Nonlinear Science and Numerical Simulation, Vol. 27, Issue. 1-3, p. 40.
Falessi, M. V. Pegoraro, F. and Schep, T. J. 2015. Lagrangian coherent structures and plasma transport processes. Journal of Plasma Physics, Vol. 81, Issue. 05,
Rubino, G Borgogno, D Veranda, M Bonfiglio, D Cappello, S and Grasso, D 2015. Detection of magnetic barriers in a chaotic domain: first application of finite time Lyapunov exponent method to a magnetic confinement configuration. Plasma Physics and Controlled Fusion, Vol. 57, Issue. 8, p. 085004.
Chian, Abraham C.-L. Rempel, Erico L. Aulanier, Guillaume Schmieder, Brigitte Shadden, Shawn C. Welsch, Brian T. and Yeates, Anthony R. 2014. DETECTION OF COHERENT STRUCTURES IN PHOTOSPHERIC TURBULENT FLOWS. The Astrophysical Journal, Vol. 786, Issue. 1, p. 51.
Eulerian and Lagrangian tools are used to detect coherent structures in the velocity and magnetic fields of a mean-field dynamo, produced by direct numerical simulations of the three-dimensional compressible magnetohydrodynamic equations with an isotropic helical forcing and moderate Reynolds number. Two distinct stages of the dynamo are studied: the kinematic stage, where a seed magnetic field undergoes exponential growth; and the saturated regime. It is shown that the Lagrangian analysis detects structures with greater detail, in addition to providing information on the chaotic mixing properties of the flow and the magnetic fields. The traditional way of detecting Lagrangian coherent structures using finite-time Lyapunov exponents is compared with a recently developed method called function $M$ . The latter is shown to produce clearer pictures which readily permit the identification of hyperbolic regions in the magnetic field, where chaotic transport/dispersion of magnetic field lines is highly enhanced.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.
* Views captured on Cambridge Core between September 2016 - 23rd April 2018. This data will be updated every 24 hours.