Energy flowguided synchronization between chaotic circuits Abstract   A variety of nonlinear electric devices are suitable for building chaotic circuits by setting appropriate values for parameters in the linear and nonlinear electronic components. The capacitor and induction coil can contain timevarying physical field energy when the timevarying current passed across these devices. When the outputs end of two chaotic circuits are connected via certain coupling devices, energy flow can be propagated bidirectionally and complete synchronization is reached when the energy pumping from the outputs end is balanced. In this paper, a nonreversing diode is connected into the coupling channel to adjust the energy flow via the coupling components (resistor, capacitor, induction coil), which connects the outputs end of two Chua circuits (in chaotic or periodical states). According to Helmholtzxe2x80x99 theorem, the Hamilton energy of the dimensionless chaotic systems under unidirectional coupling is calculated. When the two coupled Chua systems are selected with different initial values, they contain different initial field energies because the Hamilton energy is dependent on the variables of this system completely. When energy flow is propagated and pumped along the coupling channel, synchronization can be realized. Otherwise, synchronization approach is blocked even the coupling intensity is increased greatly. In this work, a single coupling channel connecting a nonreversing diode and resistor (capacitor, induction coil, respectively) in series is built to explore synchronization approach. The results show that the synchronization realization is dependent on the coupling devices and circuit verification is also supplied. It gives important clues to understand the synchronization mechanism in a forward neural network.

Chaotic Oscillator Using Coupled Memristive Pairs Chaotic circuits have been demonstrated as a potential avenue for improving system reliability with respect to computation and memory capacity when compared to those that depend on the methodical behavior of components. In this work, we demonstrate how fluxcoupled memristive pairs influence the chaotic dynamics of Chuau0027s circuit. An analog emulator circuit is built to model an idealized fluxcontrolled memristor, and compositely connected to an identical circuit to simulate fluxcoupling. Our circuit is then implemented in Chuau0027s circuit to characterize the influence of fluxcoupling on chaotic oscillations. We mathematically model the behavior of the system in MATLAB, and verify its operation in PSpice, and thus characterize the periodic and chaotic states caused by varying the coupling strength. Therefore, we successfully demonstrate the ability for natural phenomena to be capable of modulating chaotic oscillations without the need for control circuitry.