Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-10-14
Phys. Rev. E 68, 026218 (2003)
Nonlinear Sciences
Chaotic Dynamics
33 pages, 25 figures including 10 color figures. Manuscript including the figures of better quality is available from http:/
Scientific paper
10.1103/PhysRevE.68.026218
Boundary effects in the stepwise structure of the Lyapunov spectra and the corresponding wavelike structure of the Lyapunov vectors are discussed numerically in quasi-one-dimensional systems consisting of many hard-disks. Four kinds of boundary conditions constructed by combinations of periodic boundary conditions and hard-wall boundary conditions are considered, and lead to different stepwise structures of the Lyapunov spectra in each case. We show that a spatial wavelike structure with a time-oscillation appears in the spatial part of the Lyapunov vectors divided by momenta in some steps of the Lyapunov spectra, while a rather stationary wavelike structure appears in the purely spatial part of the Lyapunov vectors corresponding to the other steps. Using these two kinds of wavelike structure we categorize the sequence and the kinds of steps of the Lyapunov spectra in the four different boundary condition cases.
Morriss Gary P.
Taniguchi Tooru
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