“…Among all spectra, the rising tone elements (with frequencies increasing with time) are the most frequently observed (Gao et al., 2014; Li et al., 2011). The chirping of rising tone elements is suggested to be triggered by the resonant current attributed by energetic electrons due to nonlinear effects (Hanzelka & Santolík, 2023; Nunn, 1974; Omura, 2021; Omura et al., 2008; Roux & Pellat, 1978; Vomvoridis et al., 1982; Zonca et al., 2022). The corresponding sweep rate, which is a key parameter depicting the rapidity of the frequency chirping, has been extensively studied in both observations (Cully et al., 2011; Macúšová et al., 2010; Tao et al., 2012) and simulations (H. Chen et al., 2022; Katoh & Omura, 2011; Ke et al., 2020).…”