Control-based bifurcation analysis for experiments

DOI10.1007/s11071-007-9217-2zbMath1170.70399OpenAlexW2102749992WikidataQ57923505 ScholiaQ57923505MaRDI QIDQ840388

Jan Sieber, Bernd Krauskopf

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://research.vu.nl/en/publications/24d7e38f-f398-431a-9fb8-afe8338d8293

zbMATH Keywords

numerical continuationbifurcation analysishardware-in-the-loophybrid experiments

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Control of mechanical systems (70Q05) Problems involving a system of particles with friction (70F40)

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Uses Software

• SlideCont
• AUTO
• Eigtool
• HomCont

Cites Work

• Unnamed Item
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Stabilization of period doubling bifurcations and implications for control of chaos
• Dynamics of a simple damped oscillator undergoing stick-slip vibrations
• A comparative study on methods for convergence acceleration of iterative vector sequences
• Real-time dynamic substructuring in a coupled oscillator–pendulum system
• CONTROL-BASED CONTINUATION OF PERIODIC ORBITS WITH A TIME-DELAYED DIFFERENCE SCHEME
• BIFURCATIONS IN THE COLPITTS OSCILLATOR: FROM THEORY TO PRACTICE
• BORDER COLLISION BIFURCATION CONTROL OF CARDIAC ALTERNANS
• COARSE BIFURCATION DIAGRAMS VIA MICROSCOPIC SIMULATORS: A STATE-FEEDBACK CONTROL-BASED APPROACH
• SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
• Elements of applied bifurcation theory

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