# Stochastic stability analysis of a reduced galactic dynamo model with perturbed α-effect

@article{Kelly2016StochasticSA,
title={Stochastic stability analysis of a reduced galactic dynamo model with perturbed $\alpha$-effect},
author={C{\'o}nall Kelly},
journal={Physica A-statistical Mechanics and Its Applications},
year={2016},
volume={457},
pages={480-491}
}
• C. Kelly
• Published 8 June 2016
• Physics
• Physica A-statistical Mechanics and Its Applications
1 Citations

## References

SHOWING 1-10 OF 22 REFERENCES
Galactic dynamo action in presence of stochastic α and shear
• Physics
• 2009
Using a one-dimensional αω-dynamo model appropriate to galaxies, we study the possibility of dynamo action driven by a stochastic α-effect and shear. To determine the field evolution, one needs to
Stochastic dynamo model for subcritical transition.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2006
By a numerical simulation of the stochastic galactic dynamo model, it is shown that the qualitative behavior of the "empirical" stationary pdf of the slow variable is accurately predicted by the stationary PDF of the reduced system.
Non-normal and stochastic amplification of magnetic energy in the turbulent dynamo: subcritical case.
• S. Fedotov
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2003
The main result is a discovery of nonlinear deterministic instability and growth of finite magnetic field fluctuations in alpha beta dynamo theory.
STOCHASTIC DYNAMICS OF FIELD GENERATION IN CONDUCTING FLUIDS
The large-scale magnetic Ðelds of stellar and galactic bodies are generally understood to be organized and ampliÐed by motions in the conducting Ñuid media of these bodies. This article examines a
Random Dynamical Systems
This chapter establishes the framework of random dynamical systems and introduces the concept of random attractors to analyze models with stochasticity or randomness.
Asymptotic and Transient Mean-Square Properties of Stochastic Systems Arising in Ecology, Fluid Dynamics, and System Control
• Mathematics
SIAM J. Appl. Math.
• 2014
The role of persistent, state-dependent stochastic perturbations on the mean-square properties of nonnormal linear systems arising in three applications and the role of drift-diffusion interaction effects in the noise-induced stabilization of a linear system with a single high-gain feedback control parameter is examined.
Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum
• Mathematics, Physics
• 2000
Lyapunov exponents and rotation numbers of linear two-dimensional stochastic differential equations are described by variants of Furstenberg-Khasminskii formulas exhibiting the interaction of drift