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Estimation of Chaotic and Regular (Stick–Slip and Slip–Slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

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Abstract

In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick–slip and slip–slip dynamics. Stick–slip and slip–slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick–slip dynamics dominates). Advantages of the proposed numerical technique are given.

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Correspondence to C. Grebogi.

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Awrejcewicz, J., Dzyubak, L. & Grebogi, C. Estimation of Chaotic and Regular (Stick–Slip and Slip–Slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction. Nonlinear Dyn 42, 383–394 (2005). https://doi.org/10.1007/s11071-005-7183-0

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  • DOI: https://doi.org/10.1007/s11071-005-7183-0

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