Kinematics and periodic analysis of the expanding loops, the wave train, and the flare. Panel a shows the time–distance plot made from AIA 131 Å images along the black dashed line as shown in Fig. 3c. Panel b shows the time–distance plot within the red box region in panel a, which is made from the AIA 131 Å running-difference images. The running-difference intensity profile along the dashed black line in panel b is plotted in panel c. Panel d is the same as a, but is made from AIA 171 Å images. Panel e is the time–distance made from LASCO/C2 running-difference images along the same path as panel a, and panel f shows the intensity profiles at difference times within the blue dotted box in panel e. Panel g is the wavelet spectrum generated using the intensity profile as shown in panel c, while panel h is generated using the time derivative of the GOES 1–8 Å flux.