Concepedia

Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations

Yuichi Ohta, K. M. Tamizhmani, B. Grammaticos, A. Ramani

Physics Letters A · 1999 · 47 citations · 15 references

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References

15

Nonlinear evolution equations and ordinary differential equations of painlevè type

Mark J. Ablowitz, A. Ramani, Harvey Segur · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento · 1978 · 541 citations

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Do integrable mappings have the Painlevé property?

B. Grammaticos, A. Ramani, V. Papageorgiou · Physical Review Letters · 1991 · 483 citations

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Discrete versions of the Painlevé equations

A. Ramani, B. Grammaticos, Jarmo Hietarinta · Physical Review Letters · 1991 · 356 citations

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Algebraic Entropy

Marc Bellon, C.-M. Viallet · Communications in Mathematical Physics · 1999 · 263 citations · Full text

Singularity Confinement and Chaos in Discrete Systems

Jarmo Hietarinta, C.-M. Viallet · Physical Review Letters · 1998 · 242 citations · Full text

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