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Master Stability Function for networks of coupled non-smooth oscillators

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arxiv 2503.19995 v2 pith:PIAD7SOZ submitted 2025-03-25 math.DS

Volodymyr Denysenko , Marek Balcerzak , Artur Dabrowski This is my paper · ORCID
classification math.DS
keywords methodnon-smoothoscillatorsappliedcoupledestimationextensionfunction
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This paper describes extension of the Master Stability Function for arrays of non-smooth oscillators. This extension is based on the previously introduced Jacobi matrix estimation method, which can be applied to networks of non-smooth coupled oscillators. Proposed method and its limitations were described. Then the new algorithm was applied to calculate MSF for an impact oscillator. The results were presented and validated using an alternative MSF estimation method.

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  1. Electronic Equivalent of a Mechanical Impact Oscillator

    nlin.AO 2025-07 conditional novelty 7.0 of 10

    A new op-amp circuit is designed so that its governing equations match, in dimensionless form, the hard-impact mechanical oscillator with perfectly elastic collisions in both single and coupled configurations.

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