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Please use this identifier to cite or link to this item: http://hdl.handle.net/1860/1663

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
Appears in Collections:Faculty Research and Publications (Physics)

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