Abstract
Cellular automata (CA) corresponding to hamiltonian mappings are proposed. The features of such CA are classified into the linear wave, superposed complex, and ergodic-like. It is shown that most nontrivial symplectic CA show the ergodic behavior. Spatio-temporal patterns, Poincaré's recurrence time, spatial entropies and Poincaré maps are calculated to confirm the ergodicity for the check of “ergodicity”. The variational principle for actions is discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
