A positive transverse Lyapunov exponent forces new stationary measures off an almost surely invariant manifold, yielding exactly two ergodic stationary measures for weakly damped Lorenz 96.
Arnold, A formula connecting sample and moment stability of linear stochastic systems, SIAM Journal on Applied Mathe- matics 44 (1984), no
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Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
A positive transverse Lyapunov exponent forces new stationary measures off an almost surely invariant manifold, yielding exactly two ergodic stationary measures for weakly damped Lorenz 96.