The Melnikov criterion of instability for random rocking dynamics of a rigid block with an attached secondary structure

DOI10.1016/J.NONRWA.2008.12.001zbMath1197.74057OpenAlexW2038252231MaRDI QIDQ1049463

J. Blot

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.12.001

zbMATH Keywords

hybrid systemsimpactstochastic systemsNewton restitution law

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Random vibrations in dynamical problems in solid mechanics (74H50)

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Cites Work

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• A dynamical systems approach to the overturning of rocking blocks
• Damping in rigid block dynamics contained between side-walls
• Heteroclinic Bifurcations and Invariant Manifolds in Rocking Block Dynamics
• HETEROCLINIC BIFURCATIONS AND OPTIMAL CONTROL IN THE NONLINEAR ROCKING DYNAMICS OF GENERIC AND SLENDER RIGID BLOCKS

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