### Abstract

characteristic exponents is numerically investigated for the Fermi-Pasta-Ulam p model. We show that the shape of the spectrum for energy density well above the equipartition threshold E, allows the Kolmogorov-Sinai entropy to be expressed simply in terms of the maximum exponent I,,,. The presence of a power-law behaviour E@ is investigated. The analogies with similar results obtained from the dynamics of symplectic random matrices seem to indicate the possibility of interpreting chaotic dynamics in terms of some 'universal' properties.

Original language | English |
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Pages (from-to) | 2033-2040 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 19 |

Issue number | 11 |

Publication status | Published - 1 Aug 1986 |

### Cite this

*Journal of Physics A: Mathematical and General*,

*19*(11), 2033-2040.

**Distribution of characteristic exponents in the thermodynamic limit.** / Livi, R ; Politi, A ; Ruffo, S .

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 19, no. 11, pp. 2033-2040.

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TY - JOUR

T1 - Distribution of characteristic exponents in the thermodynamic limit

AU - Livi, R

AU - Politi, A

AU - Ruffo, S

PY - 1986/8/1

Y1 - 1986/8/1

N2 - The existence of the thermodynamic limit for the spectrum of the Lyapunov characteristic exponents is numerically investigated for the Fermi-Pasta-Ulam p model. We show that the shape of the spectrum for energy density well above the equipartition threshold E, allows the Kolmogorov-Sinai entropy to be expressed simply in terms of the maximum exponent I,,,. The presence of a power-law behaviour E@ is investigated. The analogies with similar results obtained from the dynamics of symplectic random matrices seem to indicate the possibility of interpreting chaotic dynamics in terms of some 'universal' properties.

AB - The existence of the thermodynamic limit for the spectrum of the Lyapunov characteristic exponents is numerically investigated for the Fermi-Pasta-Ulam p model. We show that the shape of the spectrum for energy density well above the equipartition threshold E, allows the Kolmogorov-Sinai entropy to be expressed simply in terms of the maximum exponent I,,,. The presence of a power-law behaviour E@ is investigated. The analogies with similar results obtained from the dynamics of symplectic random matrices seem to indicate the possibility of interpreting chaotic dynamics in terms of some 'universal' properties.

M3 - Article

VL - 19

SP - 2033

EP - 2040

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 11

ER -