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Intrinsic Membrane Friction and Onset of Chaos in an Electrodynamic Loudspeaker

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Chaotic state observed in an electrodynamic loudspeaker results from a nonlinear equation of motion and is driven by anharmonic restoring term being assisted by intrinsic membrane friction. This friction is not smooth function of displacements but the sum of local hysteretic surface fluctuations, which give rise to its high differentiability in displacements, being responsible for onset of Feigenbaum bifurcation cascades and chaos. When an external small perturbation of low differentiability is added to the friction, another type of chaotic state appears, and this state involves period-3 window evidenced for the first time in these experiments.

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