Ability of the 0–1 test to capture transient dynamics

Ascertain whether the 0–1 test of chaos can extract information about transient dynamics in dynamical systems, beyond its binary asymptotic classification of regular versus chaotic behavior.

Background

The paper compares the observable drift framework to the 0–1 test of chaos, noting conceptual similarities but also key differences: the 0–1 test is binary and does not distinguish strong versus weak chaos.

The authors explicitly state uncertainty about whether the 0–1 test can capture transient dynamical features, such as crossover behavior before asymptotic regimes dominate, which their observable drift method can reveal.