Numerical simulations reveal that the Gross–Pitaevskii equation exhibits both chaotic dynamics and regular solutions, highlighting complexities of initial conditions.
We show that numerical simulations of particular solutions of the Gross–Pitaevskii equation with parabolic potential can have features of both regular and chaotic dynamics, depending on initial conditions. Such behavior is a characteristic feature of systems with Kolmogorov–Arnold–Moser chaos. We also report analytical arguments that could support such interpretation.
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Korneev et al. (2025) studied this question.
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