arXiv subjects

T. S. Komatsu

Publications and source records attributed to T. S. Komatsu.

2 recordsLinked to original sources

arXiv2000

Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements

We discovered numerically a scaling law obeyed by the amplitude of collective mo tion in large populations of chaotic elements. Our analysis strongly suggests that such populations generically exhibit collective motion in the presence of interaction, however weak it may be. A phase diagram for the collective motion, which is characterized by peculiar structures similar to Arnold tongues, is obtained.

chao-dyn↗

arXiv1998

Thermodynamic entropy and excess information loss in dynamical systems with time-dependent Hamiltonian

We study a dynamical system with time dependent Hamiltonian by numerical experiments so as to find a relation between thermodynamics and chaotic nature of the system. Excess information loss, defined newly based on Lyapunov analysis, is related to the increment of thermodynamic entropy. Our numerical results suggest that the positivity of entropy increment is expressed by the principle of the minimum excess information loss.

chao-dyn↗