Estimation of Lyapunov exponents for a system with sensitive friction model

DOI10.1007/s00419-008-0291-9zbMath1264.70049OpenAlexW2057139983MaRDI QIDQ1952402

Jerzy Wojewoda, Andrzej Stefanski, Tomasz Kapitaniak, Marian Wiercigroch

Publication date: 30 May 2013

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-008-0291-9

zbMATH Keywords

frictionLyapunov exponentsstick-slipsynchronisation

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Problems involving a system of particles with friction (70F40)

Related Items (2)

Modelling of stick-slip behaviour with different hypotheses on friction forces ⋮ Fractional-order PWC systems without zero Lyapunov exponents

Cites Work

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• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Friction models and friction compensation
• A survey of models, analysis tools and compensation methods for the control of machines with friction
• Chaos caused by non-reversible dry friction.
• Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
• Calculation of Lyapunov exponents in systems with impacts
• Estimation of the largest Lyapunov exponent in systems with impacts
• Evaluation of the largest Lyapunov exponent in dynamical systems with time delay
• Dynamics of oscillators with impact and friction
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems
• A NON-LINEAR FRICTION MODEL FOR SELF-EXCITED VIBRATIONS
• A new model for control of systems with friction
• Hysteretic effects of dry friction: modelling and experimental studies
• Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems

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