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.
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.
Miranda, Rodrigo Rempel, Erico Chian, Abraham and Schelin, Adriane 2016. Handbook of Applications of Chaos Theory.
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.
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,
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.
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
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