Cascaded Bi-Memristor Hyperchaotic Map

In order to study the dynamical effects of cascaded memristors, this brief presents a cascaded bi-memristor (CBM) hyperchaotic map by cascading two memristors with identical memristance. The CBM map possesses a plane set of fixed points whose stability closely depends on the memristor initial states. Complex dynamics relied on the control parameters and initial states is revealed using numerical tools. The findings indicate that the CBM map can exhibit the quasi-periodic bifurcation and hyperchaos dependent on the control parameters, especially the bi-stability relied to the memristor initial states and dynamical effects of the non-memristor initial state. Besides, an FPGA implementation is made and its experimentally acquired results well verify the numerical ones.

Automated summary

This study presents a cascaded bi-memristor (CBM) hyperchaotic map by cascading two memristors with identical memristance to explore the dynamical effects of cascaded memristors. The CBM map exhibits complex dynamics depending on the control parameters and initial states, revealing quasi-periodic bifurcation and hyperchaos. An FPGA implementation is made to experimentally verify the numerical results.