Learning dissipation and instability fields from chaotic dynamics

doi:10.1016/j.physd.2025.134865

Learning dissipation and instability fields from chaotic dynamics

2025-08-05

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DOI：10.1016/j.physd.2025.134865

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• Method estimates Jacobian via transition matrix of Perron–Frobenius operator • Bounds on local instability derived and validated with analytical solutions • Numerical tests on chaotic maps show robustness of the proposed approach • Dissipation and instabilities estimated from direct integration of system

Keywords:

Jacobian estimation

Perron–Frobenius operator

local instability

chaotic maps

dissipation

Learning dissipation and instability fields from chaotic dynamics

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