New Third-Order Oscillators Using Two or Three Amplifiers

In this work, we consider the design of third-order oscillators that are built around a multi amplifier structure with two- or three-amplifiers topologies. We derive all the possible oscillators that could be constructed using combinations of RC or RLC elements and provide the oscillation frequency and the oscillation start-up condition in each case. Multi-outputs are produced from the topology with phase-shift relationships that are governed by impedance ratios. All the reported RLC oscillators are canonical and require only three reactive elements and one resistor. Parasitic effects are considered for a sample designed oscillator circuit and chaos generation as a possible application is demonstrated. Circuit simulations using Spice and experimental results are given to verify the theory.