Nonlinear dynamics as an essential tool for non-destructive characterization of soft nanostructures using tapping-mode atomic force microscopy

DOI10.1098/rsta.2006.1907zbMath1152.74314OpenAlexW2119893289WikidataQ33262951 ScholiaQ33262951MaRDI QIDQ5301921

Harry J. Dankowicz

Publication date: 20 January 2009

Published in: Philosophical Transactions 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/rsta.2006.1907

zbMATH Keywords

nonlinear dynamicsbifurcationsatomic force microscopypiecewise smooth

Mathematics Subject Classification ID

Micromechanical theories (74A60) Local and nonlocal bifurcation theory for dynamical systems (37G99) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (5)

Noise influenced elastic cantilever dynamics with nonlinear tip interaction forces ⋮ Event-driven feedback tracking and control of tapping-mode atomic force microscopy ⋮ Degenerate discontinuity-induced bifurcations in tapping-mode atomic-force microscopy ⋮ Control of near-grazing dynamics and discontinuity-induced bifurcations in piecewise-smooth dynamical systems ⋮ Utilizing nonlinear phenomena to locate grazing in the constrained motion of a cantilever beam

Cites Work

• Mechatronics
• Nonlinear dynamics of atomic–force–microscope probes driven in Lennard–Jones potentials

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