29 citations · 287 across the 41 of their papers we have counts for
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math-ph2015★ 2 cited
Integrable mappings and the notion of anticonfinement
Takafumi Mase, Ralph Willox, Alfred Ramani +1
We examine the notion of anticonfinement and the role it has to play in the singularity analysis of discrete systems. A singularity is said to be anticonfined if singular values co…
math-ph2015★ 18 cited
Singularity confinement and full-deautonomisation: a discrete integrability criterion
Basil Grammaticos, Alfred Ramani, Ralph Willox +2
We present a new approach to singularity confinement which makes it an efficient and reliable discrete integrability detector. Our method is based on the full-deautonomisation proc…