Periodicity of cylindrical linear cellular automata
Shin-ichi Tadaki
Abstract
Periodicity and relaxation are investigated for the trajectories of the states in cylindrical linear cellular automata. The time evolutions are described with matrices. The eigenvalue analysis is applied to obtain the maximum values of period and relaxation. The translational invariance suppresses the maximum period and relaxation.
Create a lesson
Related papers
Pulse Shepherding and Multi-Channel Soliton Transmission in Bit-Parallel-Wavelength Optical Fiber Links
Yuri S. Kivshar, Elena A. Ostrovskaya
A Particle Model of Rolling Grain Ripples Under Waves
K. H. Andersen
Two-color multistep cascading and parametric soliton-induced waveguides
Yuri S. Kivshar, Andrey A. Sukhorukov, Solomon M. Saltiel
Pattern formation in inclined layer convection
Karen E. Daniels, Eberhard Bodenschatz
On the Properties of Two Pulses Propagating Simultaneously in Different Dispersion Regimes in a Nonlinear Planar Waveguide
Monika E. Pietrzyk
Formation and Pinch-off of Viscous Droplets in the Absence of Surface Tension: an Exact Result
Mark Mineev-Weinstein, Gary D. Doolen, John E. Pearson et al.