  In this paper, a novel chaotic map is introduced usinga voltage controlled
negative differential resistance (NDR) circuitcomposed of ann-channel and
ap-channel silicon-on-insulator(SOI) four-gate transistor (G4FET). The multiple
gates of theG4FET are leveraged to create a discrete chaotic map with
threebifurcation parameters. The three tunable parameters are thegain of a
transimpedance amplifier (TIA), top-gate voltage ofn-channel G4FET, and
top-gate voltage ofp-channel G4FET. Twomethods are proposed for building
chaotic oscillators using thisdiscrete map. The effect of altering bifurcation
parameters onchaotic operation is illustrated using bifurcation diagrams
andLyapunov exponent. A design methodology for building flexibleand
reconfigurable logic gate is outlined and the consequentenhancement in
functionality space caused by the existence ofthree independent bifurcation
parameters is demonstrated andcompared with previous work.
