Lyapunov exponents of two stochastic Lorenz 63 systems

DOI10.1007/s10955-019-02457-3zbMath1459.37066arXiv1706.05882OpenAlexW3105694389MaRDI QIDQ781810

Erwin Luesink, Darryl D. Holm, Geurts, Bernard J.

Publication date: 20 July 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05882

zbMATH Keywords

Rayleigh-Bénard convectionmultiplicative noisestochastic advectionLorenz 63 dynamical system

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical aspects of statistical mechanics (37A60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (2)

Stochastic wave-current interaction in thermal shallow water dynamics ⋮ Introduction to the special issue on the statistical mechanics of climate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic climate dynamics: random attractors and time-dependent invariant measures
• Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows
• A fourth-order finite volume scheme for turbulent flow simulations in cylindrical domains
• Determining Lyapunov exponents from a time series
• Stochastic discrete Hamiltonian variational integrators
• Comparison of computational codes for direct numerical simulations of turbulent Rayleigh-Bénard convection
• Noise and dissipation on coadjoint orbits
• Noise and dissipation in rigid body motion
• An efficient and stable approach for computation of Lyapunov characteristic exponents of continuous dynamical systems
• Solution properties of a 3D stochastic Euler fluid equation
• Momentum maps and stochastic Clebsch action principles
• Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics
• Deterministic Nonperiodic Flow
• Numerically Modeling Stochastic Lie Transport in Fluid Dynamics
• The effects of Ekman pumping on quasi-geostrophic Rayleigh–Bénard convection
• Variational principles for stochastic fluid dynamics
• Variational principles for stochastic soliton dynamics
• Optimal Taylor–Couette flow: direct numerical simulations
• Fluid flow dynamics under location uncertainty
• Lyapunov's second method for random dynamical systems.

This page was built for publication: Lyapunov exponents of two stochastic Lorenz 63 systems