Journal article
A GEOMETRIC MODEL FOR THE DUFFING OSCILLATOR
International journal of bifurcation and chaos in applied sciences and engineering, v 3(3), pp 685-691
01 Jun 1993
Abstract
A geometric model for the Duffing oscillator is constructed by analyzing the unstable periodic orbits underlying the chaotic attractors present at particular parameter values. A template is constructed from observations of the motion of the chaotic attractor in a Poincare section as the section is swept for one full period. The periodic orbits underlying the chaotic attractor are found and their linking numbers are computed. These are compared with the linking numbers from the template and the symbolic dynamics of the orbits are identified. This comparison is used to validate the template identification and label the orbits by their symbolic dynamics.
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Details
- Title
- A GEOMETRIC MODEL FOR THE DUFFING OSCILLATOR
- Creators
- J. W. L. McCallum - Drexel UniversityR. Gilmore - Drexel University
- Publication Details
- International journal of bifurcation and chaos in applied sciences and engineering, v 3(3), pp 685-691
- Publisher
- World Scientific
- Number of pages
- 7
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000209751000021
- Other Identifier
- 991019203464404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Interdisciplinary Applications