Observing the Symmetry of Attractors

Details Observing the Symmetry of Attractors Observing the Symmetry of Attractors

1997-06-06

arxiv.org/abs/chao-dyn/9706009v1

Nonlinear Sciences

Chaotic Dynamics

28 page LaTeX document with 9 ps figures included. Supplementary color figures available at http://odin.math.nau.edu/~jws/

Scientific paper

10.1016/S0167-2789(97)00191-7

We show how the symmetry of attractors of equivariant dynamical systems can be observed by equivariant projections of the phase space. Equivariant projections have long been used, but they can give misleading results if used improperly and have been considered untrustworthy. We find conditions under which an equivariant projection generically shows the correct symmetry of the attractor.

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