Control of near-grazing dynamics in the two-degree-of-freedom vibroimpact system with symmetrical constraints

DOI10.1155/2020/7893451zbMath1471.93105OpenAlexW3015969282MaRDI QIDQ2175999

Zihan Wang, Jieqiong Xu, Shuai Wu, Quan Yuan

Publication date: 30 April 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7893451

Mathematics Subject Classification ID

Feedback control (93B52) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcation control of ordinary differential equations (34H20)

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Complicated periodic cascades arising from double grazing bifurcations in an impact oscillator with two rigid constraints

Cites Work

• Theoretical analysis of co-dimension-two grazing bifurcations in \(n\)-degree-of-freedom impact oscillator with symmetrical constrains
• Analytical determination for degenerate grazing bifurcation points in the single-degree-of-freedom impact oscillator
• Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
• Suppression of grazing-induced instability in single degree-of-freedom impact oscillators
• Piecewise-smooth dynamical systems. Theory and applications
• Discrete-in-time feedback control of near-grazing dynamics in the two-degree-of-freedom vibro-impact system with a clearance
• Continuous and discontinuous grazing bifurcations in impacting oscillators
• Dynamics of an impact oscillator near a degenerate graze
• Control of near-grazing dynamics and discontinuity-induced bifurcations in piecewise-smooth dynamical systems
• TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS
• Analytical determination of bifurcations in an impact oscillator
• Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
• Control of near-grazing dynamics in impact oscillators
• On the stabilizability of near‐grazing dynamics in impact oscillators
• Unfolding degenerate grazing dynamics in impact actuators
• Discontinuity Induced Bifurcations of Nonhyperbolic Cycles in Nonsmooth Systems

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