TY - JOUR
T1 - Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices
AU - Romero-Bastida, M.
AU - Pazó, Diego
AU - López, Juan M.
PY - 2012/2/21
Y1 - 2012/2/21
N2 - We scrutinize the reliability of covariant and Gram-Schmidt Lyapunov vectors for capturing hydrodynamic Lyapunov modes (HLMs) in one-dimensional Hamiltonian lattices. We show that, in contrast with previous claims, HLMs do exist for any energy density, so that strong chaos is not essential for the appearance of genuine (covariant) HLMs. In contrast, Gram-Schmidt Lyapunov vectors lead to misleading results concerning the existence of HLMs in the case of weak chaos.
AB - We scrutinize the reliability of covariant and Gram-Schmidt Lyapunov vectors for capturing hydrodynamic Lyapunov modes (HLMs) in one-dimensional Hamiltonian lattices. We show that, in contrast with previous claims, HLMs do exist for any energy density, so that strong chaos is not essential for the appearance of genuine (covariant) HLMs. In contrast, Gram-Schmidt Lyapunov vectors lead to misleading results concerning the existence of HLMs in the case of weak chaos.
UR - http://www.scopus.com/inward/record.url?scp=84857714975&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.85.026210
DO - 10.1103/PhysRevE.85.026210
M3 - Artículo
C2 - 22463302
SN - 1539-3755
VL - 85
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 026210
ER -