Energy dispersion is a fundamental scientific problem in the study of natural disasters such as typhoons, heavy rain and earthquakes. The problem has been addressed by both multi-discipline research and forecast studies. The dynamics of isolated circular vortex energy dispersion have been solved. However, the disastrous results of typhoons and heavy rain often occur due to non-isolated circular vortices, the dynamics of which are explored in this paper. The energy dispersion characteristics of non-isolated vortices with complex structural patterns are examined using a linearized nondivergent barotropical vorticity equation model. In the initial field, a tropical cyclone (TC) vortex and a meso-scale vortex coexist, forming a complex structural pattern. An analytic solution based on a Fourier transform and simulations using a two-dimensional model show the following. (1) A wave train of TC-G-D may be created by the energy dispersion where the line connecting the three member centers of the wave train is parallel to the x axis in the case of an initial TC vortex without a meso-scale vortex. (2) A wave train of TC-G-D may also be created by energy dispersion. However, the line connecting the three member centers of the wave train would no longer be parallel to the x axis. Instead, they would form a triangle in the presence of the initial TC vortex with the meso-scale vortex. (3) There is a nonlinear relationship between the initial intensity of the meso-scale vortex and the base angle of the triangle. These results have the potential to be applied in the field of typhoon forecasting. Multi-disciplinary research into energy dispersion resulting from extreme natural phenomena such as typhoons [1], and heavy rain [2] has long been of interest for weather forecasting and other reasons. For example, Yeh [3] found an analytical solution for one-dimensional perturbation wind velocity v(x, t) and framed energy dispersion theory for atmospheric long waves. This theory explains the lower reach effects of long wavelength perturbations in the westerly belt and has been applied to the practice of weather forecasting for more than fifty years [4]. Tropical cyclones (TC), subtropical vortices and mesoscale vortices in the Mei-yu front are two-dimensional (2D) perturbations [5] that differ from long wavelength perturbations. Chan et al. [6] found an analytical solution for the 2D perturbation streamfunction ψ (x, y, t). Luo [7] further found analytically that a synoptic-scale wave train with alternating anti-cyclonic and cyclonic vorticity disturbances, named the TC-G-D wave train, could be created by TC energy dispersion. The analytical result has been confirmed numerically [7]. The characteristics of the TC-G-D wave train can be simulated by both idealized and complex models [8]. The characteristics were also observed in the TCM-90 Field Experiment [9]. Later, the TC-G-D wave train and the relationship between the wave train and TC genesis were found using satellite sounding data [10][11][12][13]. This relationship is particularl...