### Abstract

The convergence of the Lyapunov vector toward its asymptotic shape is investigated in two different one-dimensional Hamiltonian lattices: the so-called Fermi-Pasta-Ulam and Phi (4) chains. In both casts, we find an anomalous behavior, i.e., a clear difference from the previously conjectured analogy with the Kardar-Parisi-Zhang equation. The origin of the discrepancy is eventually traced back to the existence of nontrivial long-range correlations both in space and time. As a consequence of this anomaly, we find that, in a Hamiltonian lattice, the largest Lyapunov exponent is affected by stronger finite-size corrections than standard space-time chaos.

Original language | English |
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Article number | 036207 |

Pages (from-to) | - |

Number of pages | 9 |

Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 6303 |

Issue number | 3 |

Publication status | Published - Mar 2001 |

### Keywords

- DIRECTED POLYMERS
- INTERFACES
- SYSTEMS
- GROWTH
- FLOWS
- CHAOS

## Cite this

Pikovsky, A., & Politi, A. (2001). Dynamic localization of Lyapunov vectors in Hamiltonian lattices.

*Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,*6303*(3), -. [036207].