Journal article
Equivariant differential embeddings
Journal of mathematical physics, v 51(9), pp 092706-092706-15
01 Sep 2010
Abstract
Takens [Dynamical Systems and Turbulence, Lecture Notes in Mathematics, edited by D. A. Rand and L. S. Young (Springer-Verlag, New York, 1981), Vol. 898, pp. 366-381] has shown that a dynamical system may be reconstructed from scalar data taken along some trajectory of the system. A reconstruction is considered successful if it produces a system diffeomorphic to the original. However, if the original dynamical system is symmetric, it is natural to search for reconstructions that preserve this symmetry. These generally do not exist. We demonstrate that a differential reconstruction of any nonlinear dynamical system preserves at most a twofold symmetry. (C) 2010 American Institute of Physics. [doi:10.1063/1.3479693]
Metrics
Details
- Title
- Equivariant differential embeddings
- Creators
- Daniel J. Cross - Drexel UniversityR. Gilmore - Drexel University
- Publication Details
- Journal of mathematical physics, v 51(9), pp 092706-092706-15
- Publisher
- American Institute of Physics
- Number of pages
- 15
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000282433200025
- Scopus ID
- 2-s2.0-78049433540
- Other Identifier
- 991019168102504721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Mathematical