Characterization of the Lorenz system, taking into account the equivariance of the vector field
- 1 April 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (4) , 3492-3495
- https://doi.org/10.1103/physreve.49.3492
Abstract
We characterize the chaotic attractors of the Lorenz system associated with R=28 and R=90 (reduced Rayleigh number) by using a partition that takes into account the equivariance of the vector field. The population of unstable periodic orbits is extracted and encoded respectively with binary and three letter symbolic dynamics. Templates are proposed for these R values.Keywords
This publication has 7 references indexed in Scilit:
- Symmetry decomposition of chaotic dynamicsNonlinearity, 1993
- Phase space reconstruction for symmetric dynamical systemsPhysica D: Nonlinear Phenomena, 1992
- Templates and framed braidsPhysical Review A, 1991
- Unstable periodic orbits and the symbolic dynamics of the complex Hénon mapPhysical Review A, 1990
- Classification of strange attractors by integersPhysical Review Letters, 1990
- Knotted periodic orbits in dynamical systems—I: Lorenz's equationTopology, 1983
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963