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- 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/BF02488843
- Publisher site
- See Article on Publisher Site
Abstract
Semi-analytical and semi-numerical method is used to investigate the global bifurcations and chaos in the nonlinear system of a Van der Pol-Duffing-Mathieu oscillator. Semi-analytical and semi-numerical method means that the autonomous system, called Van der Pol-Duffing system, is analytically studied to draw all global bifurcations diagrams in parameter space. These diagrams are called basic bifurcation diagrams. Then fixing parameter in every space and taking parametrically excited amplitude as a bifurcation parameter, we can observe the evolution from a basic bifurcation diagram to chaotic pattern by numerical methods.
Journal
Acta Mechanica Sinica – Springer Journals
Published: Aug 25, 2006