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Dmitrijs, P., Sergejs, T., Victor, C. and Ipatovs, A. (2022) Study of Nonlinear Dynamics of Vilnius Oscillator. In: Nonlinear Dynamics and Applications, Springer, 1219-1228.

has been cited by the following article:

• TITLE: Experimental Study of the Dynamic Response of the Vilnius Oscillator Based on the Resistance Connected to the Non-Inverting Input of the Operational Amplifier

  AUTHORS: Joel Calin Nkouagnou, René Kouayep Mboyo

  KEYWORDS: Bifurcations, Chaos, Lyapunov Exponents, Vilnius Oscillator, Modeling

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.15 No.1, March 27, 2026

  ABSTRACT: 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.