Marco Hernandez
Indiana University
7 Papers
17 Citations
Marco Hernandez is an academic researcher from Indiana University. The author has contributed to research in topics: Rayleigh–Bénard convection & Pitchfork bifurcation. The author has an hindex of 5, co-authored 7 publications.
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Papers
Dynamical transitions of a low-dimensional model for Rayleigh–Bénard convection under a vertical magnetic field
TL;DR: In this article, the authors studied the dynamic transitions of a low-dimensional dynamical system for the Rayleigh-Benard convection subject to a vertically applied magnetic field and showed that the system undergoes two successive transitions: the first is a well-known pitchfork bifurcation, whereas the second one is structurally more complex and can be of different type depending on the system parameters.
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On the Instabilities and Transitions of the Western Boundary Current
TL;DR: In this paper, the stability and dynamic transitions of the western boundary currents in a rectangular closed basin were studied by reducing the infinite dynamical system to a finite dimensional one via center manifold reduction, and a non-dimensional transition number was derived to determine the types of dynamical transition.
Stochastic attractor bifurcation for the two‐dimensional Swift‐Hohenberg equation
Abstract: The main objectives of this article are to introduce stochastic parameterizing manifolds and to study the dynamical transitions of the two‐dimensional stochastic Swift‐Hohenberg equation. The study is based on the general framework developed by Chekroun, Liu and Wang. The detailed effect of the noise on the transition and on the stochastic low‐dimensional parameterization of the system is obtained.
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Stochastic Swift-Hohenberg Equation with Degenerate Linear Multiplicative Noise
TL;DR: It is shown that the approximate reduced system corresponding to the invariant manifold undergoes a stochastic pitchfork bifurcation, and numerical evidence is obtained suggesting that this picture is a good approximation for the full system as well.
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