In fast-slow nonlinear systems a cascade of regimes marked by changes in fast CLVs and eigenvalues precedes extreme events, enabling two precursors that predict them with 100% precision and recall in numerical tests.
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Two termination criteria for transient phases in the Ginelli CLV algorithm are compared on two Hamiltonian systems, with an adaptation proposed to avoid alignment issues that degrade accuracy in center-subspace computations over long backward times.
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Precursors of extreme events and critical transitions
In fast-slow nonlinear systems a cascade of regimes marked by changes in fast CLVs and eigenvalues precedes extreme events, enabling two precursors that predict them with 100% precision and recall in numerical tests.
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On the efficient numerical computation of covariant Lyapunov vectors
Two termination criteria for transient phases in the Ginelli CLV algorithm are compared on two Hamiltonian systems, with an adaptation proposed to avoid alignment issues that degrade accuracy in center-subspace computations over long backward times.