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most citedLocalized behavior in the Lyapunov vectors for quasi-one-dimensional many-hard-disk systems

32 citations · 96 across the 4 of their papers we have counts for

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nlin.CD200419 cited

Time-dependent mode structure for Lyapunov vectors as a collective movement in quasi-one-dimensional systems

Tooru Taniguchi, Gary P. Morriss

Time dependent mode structure for the Lyapunov vectors associated with the stepwise structure of the Lyapunov spectra and its relation to the momentum auto-correlation function are…

nlin.CD200431 cited

Time-oscillating Lyapunov modes and auto-correlation functions for quasi-one-dimensional systems

Tooru Taniguchi, Gary P. Morriss

The time-dependent structure of the Lyapunov vectors corresponding to the steps of Lyapunov spectra and their basis set representation are discussed for a quasi-one-dimensional man…

nlin.CD200332 cited

Localized behavior in the Lyapunov vectors for quasi-one-dimensional many-hard-disk systems

Tooru Taniguchi, Gary P. Morriss

We introduce a definition of a "localization width" whose logarithm is given by the entropy of the distribution of particle component amplitudes in the Lyapunov vector. Different t…

nlin.CD2002

Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems

Tooru Taniguchi, Gary P. Morriss

The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider is…

nlin.CD2001

Stepwise structure of Lyapunov spectra for many particle systems by a random matrix dynamics

Tooru Taniguchi, Gary P. Morriss

The structure of Lyapunov spectra for many particle systems with a random interaction between the particles is discussed. The dynamics of the tangent space is expressed as a master…