Linearisable ultradiscrete systems with sign variables and the confinement of singularities

DOI10.1063/1.4776188zbMath1283.39004OpenAlexW2061063346MaRDI QIDQ5396310

Junkichi Satsuma, Naoyuki Mimura, Basile Grammaticos, Alfred Ramani

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4776188

zbMATH Keywords

singularity analysislinearisable mappings of Quispel-Roberts-Thompson typeultradiscretisation method

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

• The Gambier mapping, revisited
• Integrable mappings and soliton equations. II
• A geometric approach to singularity confinement and algebraic entropy
• Dynamics of bimeromorphic maps of surfaces
• Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion?
• Linearizable QRT mappings
• Singularity confinement test for ultradiscrete equations with parity variables
• Do integrable mappings have the Painlevé property?
• Integrable systems without the Painlevé property
• Discrete integrable systems from continuous Painlevé equations through limiting procedures
• Linearizable mappings and the low-growth criterion
• How to detect integrability in cellular automata
• Do integrable cellular automata have the confinement property?

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