Abstract
In this paper, we provide the Henon–Heiles system defined on Lie-algebraically deformed non-relativistic spacetime with the commutator of two spatial directions proportional to time. Particularly, we demonstrate that in such a model the total energy is not conserved and for this reason the role of control parameter is taken by the initial energy value [Formula: see text]. Besides, we show that in contrast with the commutative case, for chosen values of deformation parameter [Formula: see text], there appears chaos in the system for initial total energies [Formula: see text] below the threshold [Formula: see text].
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