Abstract
We present numerically obtained bifurcations of two dual singularly perturbed nonlinear oscillating circuits. Each of the circuits comprises two coupled sections: a nonlinear section with dissipation and a linear one with a small constant biasing source. The two dual oscillators show an interesting pattern of hierarchical oscillations that follow the Stern–Brocot tree with intervals of synchronization yielding Arnold’s tongues and their corresponding devil’s-like staircases. Several numerical results are included.
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Podhaisky, H., Marszalek, W. Bifurcations and synchronization of singularly perturbed oscillators: an application case study. Nonlinear Dyn 69, 949–959 (2012). https://doi.org/10.1007/s11071-011-0316-8
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DOI: https://doi.org/10.1007/s11071-011-0316-8