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Two-parameter families of strange attractors
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http://hdl.handle.net/1860/1663
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| Title: | Two-parameter families of strange attractors |
| Authors: | Gilmore, Robert |
| Issue Date: | Jan-2007 |
| Publisher: | The American Institute of Physics |
| Citation: | Chaos, 17(1): pp. 013104-1 - 013104-4. |
| Abstract: | Periodically driven two dimensional nonlinear oscillators can generate strange attractors that are
periodic. These attractors are mapped in a locally 1-1 way to entire families of strange attractors
that are indexed by a pair of relatively prime integers, (n1; n2), with n1 1. The integers are
introduced by imposing periodic boundary conditions on the entire strange attractor rather than
individual trajectories in the attractor. The torsion and energy integrals for members of this two
parameter family of locally identical strange attractors depend smoothly on these integers. |
| URI: | http://dx.doi.org/10.1063/1.2432023
http://hdl.handle.net/1860/1663 |
| Appears in Collections: | Faculty Research and Publications (Physics)
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