What is the discrete analogue of the Painlevé property?
DOI10.1017/S1446181100007872zbMath1014.39014OpenAlexW1991720886MaRDI QIDQ3146190
Basile Grammaticos, Alfred Ramani
Publication date: 22 July 2003
Published in: The ANZIAM Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446181100007872
discrete systemsdiscrete Painlevé equationsintegrability criteriaintegrable autonomous mappingssingularity confinement method
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12)
Cites Work
- Growth and integrability in the dynamics of mappings
- Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
- Singularity analysis and integrability for discrete dynamical systems
- The Gambier mapping, revisited
- Singularity, complexity, and quasi-integrability of rational mappings
- Integrable mappings and soliton equations. II
- The Gambier mapping
- Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
- A new method to test discrete Painlevé equations.
- Dynamics of complexity of intersections
- Discrete versions of the Painlevé equations
- Rational mappings, arborescent iterations, and the symmetries of integrability
- Do integrable mappings have the Painlevé property?
- Linearizable mappings and the low-growth criterion
- Non-proliferation of pre-images in integrable mappings
- Special function solutions for asymmetric discrete Painlevé equations
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