Study of a transition in the qualitative behavior of a simple oscillator with Coulomb friction

DOI10.1007/s11071-013-0985-6zbMath1279.34064OpenAlexW2038394595MaRDI QIDQ394499

Alain Léger, Elaine Pratt, Xiang Zhang

Publication date: 27 January 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-013-0985-6

zbMATH Keywords

Coulomb frictionequilibrium statesnonsmooth dynamicsmass-spring systems

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Friction in solid mechanics (74M10) Perturbations of ordinary differential equations (34D10) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

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Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center ⋮ Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth systems with a cusp ⋮ Averaging theory of arbitrary order for piecewise smooth differential systems and its application ⋮ The Number of Limit Cycles Bifurcating from a Degenerate Center of Piecewise Smooth Differential Systems ⋮ Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems

Cites Work

• Unnamed Item
• Stability of equilibrium states in a simple system with unilateral contact and Coulomb friction
• Investigation of the equilibrium states and their stability for a simple model with unilateral contact and Coulomb friction
• About a stability conjecture concerning unilateral contact with friction
• A class of nonlinear differential equations of second order in time
• Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem

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