Capacitive coupling memristive systems for energy balance

Abstract

The dynamics of a memristive system is dependent on the initial values and thus the threshold of coupling intensity for synchronization approach becomes unknown and unpredictable. Joule heat is consumed before reaching complete synchronization when variable coupling is applied for triggering voltage coupling via resistor connection. In this paper, a capacitor is used to couple two memristive circuits and the coupling intensity is increased in exponential way until the two memristive systems reach energy balance adaptively. The regulation of coupling intensity is controlled by using the Heaviside function when the Hamilton energy functions for the memristive systems are available. It is confirmed that two memristive systems can reach complete synchronization, phase lock when the coupling intensity is regulated in an adaptive way. It also explains why energy diversity enables creation of channel connection and coupling between nonlinear circuits, and then the coupling channel is tamed to realize energy balance between memristive systems without confirming exact threshold for coupling intensity. The scheme shows distinct self-adaptive property because the coupling intensity is controlled by the energy flow along the coupling channel. In particular, this kind of field coupling is controllable and external energy injection is helpful to regulate the coupling channel adaptively.