The dynamics of the energy eigenvalues of a single resonance, two-mode quantum Hamiltonian with varying resonance coupling is studied. The resonant quantum states are linked to straight-line parametric level motion in the level dynamics. On the basis of the analogy to the periodic orbit scarring of eigenstates giving rise to linear parametric level motion, we suggest that the resonant states give rise to such soliton-like features in the level dynamics. As a result, resonant states for a given polyad constitute a solitonic "fan" structure manifesting throughout the energy regime. Isomorphic fans, at specific polyad intervals, are identified for which the level velocities of the corresponding states are related by a translation along the classical resonance line. An analysis of the level velocities for isomorphic states indicates that the level velocities of a m:n resonant state beyond a certain critical coupling strength scale with the polyad P as P(m+n)/2. Numerical studies on a 1:1 resonant system confirm the expected scaling and suggest (P - 2 nu) as the asymptotic velocity of a state /P;nu>, where nu is the degree of excitation of the state. Persistence of the fan structure on the addition of another independent resonance leads to the possibility of understanding and assigning highly excited states via the scars of the independent resonances.