Introduction

Brandenburg, Axel; Candelaresi, Simon; Gent, Frederick A.

doi:10.1080/03091929.2019.1677015

“…Equations ( 1)-(3) are solved with the PENCIL CODE ‡, a thoroughly tested MHD solver frequently employed in Astrophysical works (see, e.g., [22] and the journal issue dedicated to the physics and algorithms of the PENCIL CODE). The code adopts sixthorder finite differences in space and third-order variable step Runge-Kutta in time.…”

Section: The Modelmentioning

confidence: 99%

Chaotic transients and hysteresis in an $α^{2}$ dynamo model

Oliveira,

Rempel,

Chertovskih

et al. 2020

Preprint

0

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The presence of chaotic transients in a nonlinear dynamo is investigated through numerical simulations of the 3D magnetohydrodynamic equations. By using the kinetic helicity of the flow as a control parameter, a hysteretic blowout bifurcation is conjectured to be responsible for the transition to dynamo, leading to a sudden increase in the magnetic energy of the attractor. This high-energy hydromagnetic attractor is suddenly destroyed in a boundary crisis when the helicity is decreased. Both the blowout bifurcation and the boundary crisis generate long chaotic transients that are due, respectively, to a chaotic saddle and a relative chaotic attractor.

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Introduction

Brandenburg

¹

,

Candelaresi

²

,

Gent

³

2019

Geophysical & Astrophysical Fluid Dynamics

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Chaotic transients and hysteresis in an α ² dynamo model

Oliveira

¹

,

Rempel

²

,

Chertovskih

³

et al. 2021

View full text Add to dashboard Cite

The presence of chaotic transients in a nonlinear dynamo is investigated through numerical simulations of the 3D magnetohydrodynamic equations. By using the kinetic helicity of the flow as a control parameter, a hysteretic blowout bifurcation is conjectured to be responsible for the transition to dynamo, leading to a sudden increase in the magnetic energy of the attractor. This high-energy hydromagnetic attractor is suddenly destroyed in a boundary crisis when the helicity is decreased. Both the blowout bifurcation and the boundary crisis generate long chaotic transients that are due, respectively, to a chaotic saddle and a relative chaotic attractor.

show abstract

Introduction

Cited by 3 publications

References 54 publications

Chaotic transients and hysteresis in an $α^{2}$ dynamo model

Chaotic transients and hysteresis in an $α^{2}$ dynamo model

Introduction

Chaotic transients and hysteresis in an α ² dynamo model

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Introduction

Cited by 3 publications

References 54 publications

Chaotic transients and hysteresis in an $α^{2}$ dynamo model

Chaotic transients and hysteresis in an $α^{2}$ dynamo model

Introduction

Chaotic transients and hysteresis in an α 2 dynamo model

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Chaotic transients and hysteresis in an α ² dynamo model