This brief proposes a floating emulator circuit for mimicking the dynamic behaviors of flux coupled memcapacitors (MCs) by making use of common off-the-shelf active devices. The equivalent constitutive relation of the coupled MC emulators is theoretically presented in details. The coupled MCs are then utilized to structure new relaxation oscillators (ROs) with the purpose of achieving controllable oscillation frequency and duty cycle. In consideration of different parameter configuration cases, an experimental investigation is carried out using a practical circuit emulating the dual coupled MCs and the ROs. Good agreement between experimental and theoretical results confirms that dual coupled MCs can be utilized to structure ROs with controllability.