Analysis and control of the dynamical response of a higher order drifting oscillator

DOI10.1098/rspa.2017.0500zbMath1402.93125OpenAlexW2784239988WikidataQ55040252 ScholiaQ55040252MaRDI QIDQ4559538

Yang Liu, Joseph Páez Chávez, Marian Wiercigroch, Ekatarina E. Pavlovskaia

Publication date: 4 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2017.0500

zbMATH Keywords

chaos controlbistabilityposition feedback controlprogression optimizationvibro-impact drilling

Mathematics Subject Classification ID

Feedback control (93B52) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Applications of design theory to circuits and networks (94C30) Chaos control for problems involving ordinary differential equations (34H10)

Related Items

Detection and Classification of Solutions for Systems Interacting by Soft Impacts with Sample-Based Method, A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections

Uses Software

• COCO

Cites Work

• Dynamics of a plastic-impact system with oscillatory and progressive motions
• Experimental study and mathematical modelling of a new of vibro-impact moling device
• Controlling bifurcation and chaos of a plastic impact oscillator
• Modelling of ground moling dynamics by an impact oscillator with a frictional slider
• Modelling of vibro-impact system driven by beat frequency.
• Analytical drift reconstruction for viscoelastic impact oscillators operating in periodic and chaotic regimes
• Controlling chaotic orbits in mechanical systems with impacts
• Controlling coexisting attractors of an impacting system via linear augmentation
• Bifurcation analysis of an impact oscillator with a one-sided elastic constraint near grazing
• Bifurcations and the penetrating rate analysis of a model for percussive drilling
• Bifurcation analysis of periodic orbits of a non-smooth Jeffcott rotor model
• Intermittent control of coexisting attractors
• Bifurcations in Nonsmooth Dynamical Systems
• Recipes for Continuation
• Control of near-grazing dynamics in impact oscillators
• Experimental study of impact oscillator with one-sided elastic constraint
• Elements of applied bifurcation theory