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A Framework for the Assessment of Lyapunov Spectrum Computation Methods for Nonlinear Systems of Increasing Dynamical Complexity
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DOI：10.1016/j.cnsns.2026.110493.png)
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Abstract
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• A reliability-oriented framework for Lyapunov-spectrum assessment is proposed. • Full-spectrum error, trace/divergence consistency error, and determinant-consistency error are used as reliability metrics. • Lyapunov-spectrum methods are classified as reliable, conditionally reliable, or diagnostic-only. • Largest-exponent agreement is shown to be insufficient for reliable full-spectrum reconstruction. • Method- and model-dependent uncertainties are identified in nonlinear beam diagnostics.
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