Exploiting Global Dynamics of a Noncontact Atomic Force Microcantilever to Enhance Its Dynamical Robustness via Numerical Control

DOI10.1142/S0218127416300184zbMath1343.34150OpenAlexW2467959456MaRDI QIDQ3187957

Valeria Settimi, Giuseppe Rega

Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416300184

zbMATH Keywords

global bifurcationsdynamical integritynoncontact AFMoptimal numerical control

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation control of ordinary differential equations (34H20)

Related Items (3)

Exploiting Global Dynamics of a Noncontact Atomic Force Microcantilever to Enhance Its Dynamical Robustness via Numerical Control ⋮ Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response ⋮ Thermomechanical Coupling and Transient to Steady Global Dynamics of Orthotropic Plates

Uses Software

• Dynamics

Cites Work

• Asymptotic analysis of a noncontact AFM microcantilever sensor with external feedback control
• Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2 DOS Diskette
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• Exploiting Global Dynamics of a Noncontact Atomic Force Microcantilever to Enhance Its Dynamical Robustness via Numerical Control
• Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator
• HETEROCLINIC BIFURCATIONS AND OPTIMAL CONTROL IN THE NONLINEAR ROCKING DYNAMICS OF GENERIC AND SLENDER RIGID BLOCKS

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