  Spontaneous symmetry breaking in systems with symmetry is a cornerstone
phenomenon accompanying second-order phase transitions. Here, we predict the
opposite phenomenon, namely, spontaneous symmetry emergence in a system without
symmetry. On the example of two coupled oscillators interacting
non-symmetrically with a set of oscillators whose frequencies uniformly fill a
finite frequency range, we demonstrate that the system state can acquire
symmetry, which is not inherent to the system Hamiltonian. The emergence of
symmetry manifests itself in a change of the system dynamics, which can be
interpreted as a phase transition in a Hermitian system without symmetry.
