Two types of capacitive dual-frequency discharges, used in plasma processing applications to achieve the separate control of the ion flux, Г i , and the mean ion energy, , at the electrodes, operated in CF 4 , are investigated by particle-in-cell simulations: (i) In classical dual-frequency discharges, driven by significantly different frequencies (1.937 MHz + 27.12 MHz), and Г i are controlled by the voltage amplitudes of the low-frequency and high-frequeny components, Φ LF and Φ HF , respectively.(ii) In electrically asymmetric (EA) discharges, operated at a fundamental frequency and its second harmonic (13.56 MHz + 27.12 MHz), Φ LF and Φ HF control Г i , whereas the phase shift between the driving frequencies, θ, is varied to adjust .We focus on the effect of changing the control parameter for on the electron heating and ionization dynamics and on Г i . We find that in both types of dual-frequency strongly electronegative discharges, changing the control parameter results in a complex effect on the electron heating and ionization dynamics: in classical dual-frequency discharges, besides the frequency coupling affecting the sheath expansion heating, additional frequency coupling mechanisms influence the electron heating in the plasma bulk and at the collapsing sheath edge; in EA dual-frequency discharges the electron heating in the bulk results in asymmetric ionization dynamics for values of θ around 45°, i.e., in the case of a symmetric applied voltage waveform, that affects the dc self-bias generation.