Fluidization quality of beds containing alumina and iron oxide nanoparticles in the agglomerate bubbling fluidization (ABF) was improved by applying a combination of vibration and magnetic field. Pressure fluctuations were measured and analyzed by fast Fourier transform (FFT), recurrence plot (RP) and recurrence quantitative analysis (RQA). Results of FFT showed that the wall vibration creates a periodic signal at 100 Hz which is not originated from the bed hydrodynamics. RP of pressure fluctuations before and after applying the assisting forces showed that the white areas in the plot decrease in size, which indicates an increase in the contribution of meso-structures such as agglomerates and small bubbles. The transition in the equilibrium bed hydrodynamics, between the condition in which assisting forces are not applied and condition in which they are applied, was tracked. It was shown by the determinism of pressure fluctuations that when the iron oxide nanoparticles exist alongside with alumina nanoparticles, this transition to the new equilibrium condition was reached in a shorter time. Determinism of pressure fluctuation of beds containing iron oxide decreased after applying the assisting forces. This trend confirms that large bubbles start to disappear and become substituted by smaller structures when magnetic field is applied to the bed. In this condition, the interphase contact efficiency increases and the bed becomes closer to the agglomerate particle fluidization (APF) regime. Recurrence quantification analysis (RQA) and wavelet transform were used to determine the frequency range of various flow structures in the bed at three scales (macro-, meso-, and micro-scales). Comparing the determinisms of sub-signals with and without of the external field showed that in the presence of magnetic field, breakage of larger agglomerates occurs faster than re-agglomeration of small agglomerates into larger ones. Power spectral density function (PSDF) of the pressure fluctuations showed that, when the external magnetic field is applied, the power and the frequency range of the pressure signal of macro-structures do not change noticeably. However, the power of meso-structures signal increases and its frequency range is widened toward higher frequencies which confirm that the number of small bubbles and agglomerates are increased in the bed. Also, the PSDF analysis showed that applying the external field significantly increase the share of the meso-structures in the bed, which confirmed the RQA results. Keywords: nanoparticle; Fluidized bed, magnetic field, pressure fluctuations, recurrence quantification analysis, wavelet transform;