Study of Nonlinear Dynamics of Vilnius Oscillator

Most chaotic dynamical systems exhibit non-robust chaos when small changes of system parameters lead to abrupt jumps from chaotic to periodic motions. These unstable regimes could not be successfully utilized in practice. The detailed systematic analysis of nonlinear dynamics becomes paramount for practical applications to identify regions of robust chaos and related transitions. This paper presents an in-depth analysis of the nonlinear dynamics of a Vilnius oscillator, providing a detailed numerical study of the operational regions of Vilnius oscillator's, constructing bifurcation map and brute-force bifurcation diagrams.