Dynamical Integrity and Control of Nonlinear Mechanical Oscillators
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Publication:3110945
DOI10.1177/1077546307079403zbMath1229.70085OpenAlexW2062820857MaRDI QIDQ3110945
Publication date: 17 January 2012
Published in: Journal of Vibration and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1077546307079403
controlescapesafe basin erosiondynamical integrity measurenonlinear mechanical oscillatorsreduction of erosion
Related Items (14)
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Cites Work
- Unnamed Item
- Identifying, evaluating, and controlling dynamical integrity measures in non-linear mechanical oscillators
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Cell-to-cell mapping. A method of global analysis for nonlinear systems
- Global bifurcations and chaos. Analytical methods
- Optimal control of nonregular dynamics in a Duffing oscillator
- Optimal numerical control of single-well to cross-well chaos transition in mechanical systems.
- Global optimal control and system-dependent solutions in the hardening Helmholtz--Duffing oscillator
- A unified control framework of the non-regular dynamics of mechanical oscillators
- Integrity measures quantifying the erosion of smooth and fractal basins of attraction
- Chaotic phenomena triggering the escape from a potential well
- BASIN EROSION IN THE TWIN-WELL DUFFING OSCILLATOR: TWO DISTINCT BIFURCATION SCENARIOS
- Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator
- Controlling Nonlinear Dynamics in a Two-Well Impact System.
- HETEROCLINIC BIFURCATIONS AND OPTIMAL CONTROL IN THE NONLINEAR ROCKING DYNAMICS OF GENERIC AND SLENDER RIGID BLOCKS
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