# Symmetry of Lyapunov spectrum

## Abstract

The symmetry of the spectrum of Lyapunov exponents provides a useful quantitative connection between properties of dynamical systems consisting of N interacting particles coupled to a thermostat, and nonequilibrium statistical mechanics. The authors obtain here sufficient conditions for this symmetry and analyze the structure of 1/N corrections ignored in previous studies. The relation of the Lyapunov spectrum symmetry with some other symmetries of dynamical systems is discussed.

- Authors:

- (Rockefeller Univ., New York, NY (United States))

- Publication Date:

- OSTI Identifier:
- 7015832

- DOE Contract Number:
- FG02-88ER13847

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Statistical Physics; (United States)

- Additional Journal Information:
- Journal Volume: 74:5-6; Journal ID: ISSN 0022-4715

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STATISTICAL MECHANICS; DYNAMICS; LYAPUNOV METHOD; SYMMETRY; CALCULATION METHODS; MECHANICS; 661300* - Other Aspects of Physical Science- (1992-)

### Citation Formats

```
Gupalo, D., Kaganovich, A.S., and Cohen, E.G.D.
```*Symmetry of Lyapunov spectrum*. United States: N. p., 1994.
Web. doi:10.1007/BF02188220.

```
Gupalo, D., Kaganovich, A.S., & Cohen, E.G.D.
```*Symmetry of Lyapunov spectrum*. United States. doi:10.1007/BF02188220.

```
Gupalo, D., Kaganovich, A.S., and Cohen, E.G.D. Tue .
"Symmetry of Lyapunov spectrum". United States. doi:10.1007/BF02188220.
```

```
@article{osti_7015832,
```

title = {Symmetry of Lyapunov spectrum},

author = {Gupalo, D. and Kaganovich, A.S. and Cohen, E.G.D.},

abstractNote = {The symmetry of the spectrum of Lyapunov exponents provides a useful quantitative connection between properties of dynamical systems consisting of N interacting particles coupled to a thermostat, and nonequilibrium statistical mechanics. The authors obtain here sufficient conditions for this symmetry and analyze the structure of 1/N corrections ignored in previous studies. The relation of the Lyapunov spectrum symmetry with some other symmetries of dynamical systems is discussed.},

doi = {10.1007/BF02188220},

journal = {Journal of Statistical Physics; (United States)},

issn = {0022-4715},

number = ,

volume = 74:5-6,

place = {United States},

year = {1994},

month = {3}

}

DOI: 10.1007/BF02188220

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