On Lyapunov exponents for non-smooth dynamical systems with an application to a pendulum with dry friction

DOI10.1023/A:1009046702601zbMath0954.34045OpenAlexW200182404MaRDI QIDQ1978104

Markus Kunze

Publication date: 23 January 2001

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009046702601

zbMATH Keywords

discontinuous differential systemLyapunov exponentcanonical cocyclemeasurable semiflowOseledets' multiplicative ergodic theorempendulum with dry friction

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Free motion of a rigid body (70E15) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discontinuous ordinary differential equations (34A36)

Related Items (6)

Parameter study of global and cluster synchronization in arrays of dry friction oscillators ⋮ Melnikov method and detection of chaos for non-smooth systems ⋮ Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map ⋮ Lateral Dynamics of Walking-Like Mechanical Systems and Their Chaotic Behavior ⋮ Lyapunov exponent for Lipschitz maps ⋮ Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme

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