ON THE DYNAMICS OF MAGNETIC-FIELD COUPLED HETEROGENEOUS OSCILLATORS: A CASE STUDY WITH CHUAOSCILLATOR AND LC TANK CIRCUIT

Recent studies have suggested that inductor-based field coupling can effectively control chaos, with potential applications in neurocomputing and neural networks. This article investigates the dynamics of a Chua oscillator coupled with a periodic LC tank circuit via an inductor, presenting numerical simulation results on phase space dynamics. Results for both double-scroll chaotic Chua circuit and limit-cycle Chua circuit are presented and a similardynamics involving intermittent transition between chaotic and ordered state have been observed. A preliminary analysis based on linear stability theory is presented. The basic properties of the model are discussed, such as fixed-point stability, symmetry and dissipation. Numerical simulations, including bifurcation diagrams, Lyapunov spectra, and phase space plots, revealed that the coupling suppresses chaos at specific strengths and leads to multi-periodicity in the periodic regime. Virtual experiment is performed on SPICE-based NI Multisim™ which corroborates the corresponding dynamics.