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The influence of ramped forcing on safe basins in a mechanical oscillatorDynamics and Stability of Systems, 8
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/BF02486814
- Publisher site
- See Article on Publisher Site
Abstract
This paper considers the dynamical behavior of a Duffing-Mathieu type system with a cubic single-well potential during the principal parametric resonance. Both the cases of constant and time-dependent excitation amplitude are used to observe the variation of the extent and the rate of the erosion in safe basins. It is evident that the appearance of fractal basin boundaries heralds the onset of the losing of structural integrity. The minimum value of control parameter to prevent the basin from erosion is given along with the excitation amplitude varying. The results show the time-dependence of excitation amplitude can be used to control the extent and the rate of the erosion and delay the first occurrence of heteroclinic tangency.
Journal
Acta Mechanica Sinica – Springer Journals
Published: Aug 15, 2006