Exact equivariance under a Lie group guarantees at least dim(G/H) zero Lyapunov exponents tangent to the group orbit on compact invariant sets with nondegenerate orbit bundles.
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Symmetry-Protected Lyapunov Neutral Modes in Equivariant Recurrent Networks
Exact equivariance under a Lie group guarantees at least dim(G/H) zero Lyapunov exponents tangent to the group orbit on compact invariant sets with nondegenerate orbit bundles.