Are local Lyapunov exponents continuous in phase space?
- Author(s)
- Christoph Dellago, William Graham Hoover
- Abstract
Local expansion rates of small displacements in phase space are calculated for two simple ergodic model systems, one with hard elastic collisions, the other with smooth forces. We find that the local expansion rates are singular functions of the phase space coordinates. The singularities are caused by bifurcations occuring in the histories belonging to the phase-space points. (C) 2000 Elsevier Science B.V.
- Organisation(s)
- Computational and Soft Matter Physics
- External organisation(s)
- University of California, Davis
- Journal
- Physics Letters. Section A: General, Atomic and Solid State Physics
- Volume
- 268
- Pages
- 330-334
- No. of pages
- 5
- ISSN
- 0375-9601
- DOI
- https://doi.org/10.1016/S0375-9601(00)00218-8
- Publication date
- 2000
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/are-local-lyapunov-exponents-continuous-in-phase-space(62d5bb0a-29cb-440d-9d06-9654bce73b2f).html