Bifurcation analysis and chaotic dynamics of differential LC oscillators with a tail capacitor

Konstantinos Metaxas, Paul P. Sotiriadis and Yannis Kominis

Chaos, Solitons & Fractals, 2025, vol. 201, issue P2

Abstract: This work provides a systematic numerical analysis of the nonlinear dynamics of differential LC oscillators with a tail capacitor. We perform a two-parameter bifurcation analysis, numerically determining the bifurcation curves and the regions of qualitatively distinct behavior. The bifurcations of fixed points are relatively simple and are discussed first. The circuit exhibits complex behavior, including multistability among periodic–periodic, periodic–chaotic, and chaotic–chaotic attractors. Representative phase portraits from each qualitatively distinct region are examined, and the corresponding basins of attraction are identified and analyzed. The complexity of the basins is studied via the basin and boundary basin entropies. Chaotic attractors emerge through Feigenbaum cascades, while crisis bifurcations lead to their merging or destruction. Boundary and interior crisis bifurcations of strange attractors involving transitions between chaotic and periodic behavior are also observed and discussed.

Keywords: Nonlinear dynamics; Bifurcation analysis; Multistability; Chaos; LC electronic oscillators (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p2:s0960077925012408

DOI: 10.1016/j.chaos.2025.117227

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