Codimension-two grazing bifurcations in three-degree-of-freedom impact oscillator with symmetrical constraints

DOI10.1155/2015/353581zbMath1418.70030OpenAlexW1492719649WikidataQ59105837 ScholiaQ59105837MaRDI QIDQ1723301

Qunhong Li, Pu Chen, Jieqiong Xu

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/353581

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Cites Work

• Existence and stability of the grazing periodic trajectory in a two-degree-of-freedom vibro-impact system
• Double grazing periodic motions and bifurcations in a vibroimpact system with bilateral stops
• Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
• Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces
• Analysis of a two-dimensional nonsmooth Poincaré-like map
• Mappings of grazing-impact oscillators
• Global dynamics of a vibro-impacting linear oscillator
• On the symmetry of solutions in non-smooth dynamical systems with two constraints
• Stabilization Of An Impact Oscillator Near Grazing Incidence Owing To Resonance
• Periodic and Chaotic Behaviour of a Threshold-Limited Two-Degree-of-Freedom System
• Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems

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