Fractal Boundary for Chaos in a Two-State Mechanical Oscillator
- 3 September 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (10), 962-964
- https://doi.org/10.1103/physrevlett.53.962
Abstract
Measurements of chaotic vibrations of a forced nonlinear oscillator with a two-well potential suggest that the frequency-amplitude boundary between periodic and chaotic motions may be fractal. The fractal dimension of this curve is 1.26. The experiment consisted of an elastic beam and magnets which were used to create two stable equilibrium positions. Analysis has shown that this system possesses strange-attractor solutions for a single-mode model. However, a fractal boundary suggests that the role of higher modes may be important.Keywords
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