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We consider a dry friction oscillator on a moving belt with both the Coulombfriction and a small nonlinear addition which can model e.g. the Stribeckeffect. By using the perturbation theory, we establish a new sufficientcondition for the nonlinearity to ensure the occurrence of a stick-slip limitcycle. The test obtained is more accurate compared to what one gets by buildingupon the divergence test.

A new test for stick-slip limit cycles in dry-friction oscillators with small nonlinear friction characteristics