Structure of characteristic Lyapunov vectors in anharmonic Hamiltonian lattices

6 páginas, 5 figuras.-- PACS number(s): 05.45.Jn, 05.45.Pq, 05.40.-aIn this work we perform a detailed study of the scaling properties of Lyapunov vectors (LVs) for two different one-dimensional Hamiltonian lattices: the Fermi-Pasta-Ulam and Φ4 models. In this case, characteristic (also called covariant) LVs exhibit qualitative similarities with those of dissipative lattices but the scaling exponents are different and seemingly nonuniversal. In contrast, backward LVs (obtained via Gram-Schmidt orthonormalizations) present approximately the same scaling exponent in all cases, suggesting it is an artificial exponent produced by the imposed orthogonality of these vectors. We are able to compute characteristic LVs in large systems thanks to a “bit reversible” algorithm, which completely obviates computer memory limitations.M.R.B. acknowledges financial support from PROMEP and CONACyT. D.P. acknowledges support by CSIC under the Junta de Ampliación de Estudios Programme (JAE-Doc). Financial support from the Ministerio de Ciencia e Innovación (Spain) under Projects No. FIS2009-12964-C05-05 and No. CGL2007- 64387/CLI is acknowledged.Peer reviewe