Experimental Study of the Dynamic Response of the Vilnius Oscillator Based on the Resistance Connected to the Non-Inverting Input of the Operational Amplifier
This work focuses on the theoretical and experimental study of the dynamic behavior of the Vilnius electronic oscillator. The theoretical study involves modeling the system using a set of three first-order differential equations and performing its numerical analysis for different values of the circuit components. The experimental study is carried out using electronic components with a control parameter. It is demonstrated that, depending on the value of the resistance connected to the non-inverting input of the operational amplifier, the Vilnius oscillator can exhibit different behaviors and generate various types of dynamics, including harmonic oscillations and chaos. This result is supported by a bifurcation diagram and the Lyapunov exponent curve. The numerical and experimental results show good qualitative agreement.
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