Chaotic dynamics of the vibro-impact system under bounded noise perturbation

DOI10.1016/j.chaos.2015.01.003zbMath1352.70044OpenAlexW1973705310MaRDI QIDQ728356

Jinqian Feng, Junli Liu

Publication date: 20 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.01.003

zbMATH Keywords

vibro-impact systemMelnikov methodbounded noise excitation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Impulsive partial differential equations (35R12)

Cites Work

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• Routes to chaos in continuous mechanical systems. I: Mathematical models and solution methods
• Period-doubling bifurcations and routes to chaos of the vibratory systems contacting stops
• Random vibrations with impacts: a review
• Rewarding evolutionary fitness with links between populations promotes cooperation
• Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
• A nonlinear oscillator with a strange attractor

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