On the Origin of Nonisolated Equilibria in Dry Friction Systems

    Received 21 June 2025; accepted 30 December 2025; published 28 February 2026


    Author(s): Burov A. A., Nikonov V. I.

    In the mechanics of dry friction systems, there are well-known cases where the equilibria are not isolated and form sets that generally depend on the parameters of the problem. In this paper, it is shown by example that such nonisolated equilibria can be viewed as the limiting case of a finite set of equilibria of a frictionless system.
    Keywords: dry friction, Coulomb friction, bifurcation theory, relative equilibria, stability of relative equilibria, alternation of stability property, bifurcations of equilibria, bifurcation diagrams
    Citation: Burov A. A., Nikonov V. I.,  On the Origin of Nonisolated Equilibria in Dry Friction Systems, Rus. J. Nonlin. Dyn., 2026 https://doi.org/10.20537/nd260202
    DOI:10.20537/nd260202


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