Inoue, Hironori; Takahashi, Daisuke; Matsukidaira, Junta Discrete mappings with an explicit discrete Lyapunov function related to integrable mappings. (English) Zbl 1101.39006 Physica D 217, No. 1, 22-30 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 39A12 37C10 37B25 39A11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y. The ultimate discretisation of the Painlevé equations. (English) Zbl 0936.39006 Physica D 114, No. 3-4, 185-196 (1998). MSC: 39A12 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M. Cellular automata and ultra-discrete Painlevé equations. (English) Zbl 0912.34005 Phys. Lett., A 226, No. 1-2, 53-58 (1997). MSC: 34A25 68Q80 34A26 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M. Cellular automata and ultra-discrete Painlevé equations. (English) Zbl 0962.82527 Phys. Lett., A 226, No. 1-2, 53-58 (1997). MSC: 82C20 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirota, R.; Iwao, M.; Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y. From integrability to chaos in a Lotka-Volterra cellular automaton. (English) Zbl 0910.58022 Phys. Lett., A 236, No. 1-2, 39-44 (1997). MSC: 37B15 37D45 68Q80 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI