Abstract
This paper investigates the dynamics of four-dimensional autonomous oscillator with antiparallel diodes. A rare phenomenon of volume-expanding phase space is observed from the proposed model, and the only equilibrium point at the origin is found to be a repeller. Systems of this kind pave the way for the better understanding of repellers. In addition, the oscillator possesses extremely rich dynamical behaviors, including 2-tori, 3-tori (triple tori), limit cycles, chaos and hyperchaos. These dynamical behaviors are characterized with the help of the Lyapunov spectrum, bifurcation diagram, recurrence analysis, Poincare surface of section, 0–1 test etc., Period doubling and torus breakdown to chaos are the predominant routes observed in the system for different parametric choices. The results of the real-time circuit are quite compatible with the numerical predictions.
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