Semantic Scholar
Open Access
2017
1 sitasi
An example of a deterministic cellular automaton exhibiting linear-exponential convergence to the steady state
H. Fuk's
Joel Midgley-Volpato
Abstrak
In a recent paper [arXiv:1506.06649 [nlin.CG]], we presented an example of a 3-state cellular automaton which exhibits behaviour analogous to degenerate hyperbolicity often observed in finite-dimensional dynamical systems. We also calculated densities of 0, 1 and 2 after n iterations of this rule, using finite state machines to conjecture patterns present in preimage sets. Here, we re-derive the same formulae in a rigorous way, without resorting to any semi-empirical methods. This is done by analysing the behaviour of continuous clusters of symbols and by considering their interactions.
Topik & Kata Kunci
Penulis (2)
H
H. Fuk's
J
Joel Midgley-Volpato
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2017
- Bahasa
- en
- Total Sitasi
- 1×
- Sumber Database
- Semantic Scholar
- DOI
- 10.5506/aphyspolbsupp.9.49
- Akses
- Open Access ✓