Chaotic LIF Oscillator With Variable Resistance Feedback and Nonlinear Rate Coding

This brief presents a model of chaotic oscillator based on leaky integrate-and-fire (LIF) neuron with a switching element, which has an S-shaped current-voltage characteristic (S-IVC), and with nonlinear firing rate coding by control resistor. The circuit contains variable resistance feedback of LIF neuron, which includes a second order filter and two gain modules. Simulation results show that active RC-circuit can be used as a feedback filter and a bipolar transistor can be used as a control resistor. A mathematical model of the chaotic oscillator has been built. The transition to the dynamic chaos occurs according to the scenario of a period-doubling bifurcation cascades. The circuit provides theoretical perspectives for the creating devices of neuromorphic computing based on chaotic dynamics.