Singularity confinement and chaos in two-dimensional discrete systems

DOI10.1088/1751-8113/49/23/23LT01zbMath1345.39005arXiv1512.09168OpenAlexW2218242440MaRDI QIDQ3186248

Takafumi Mase, Masataka Kanki, Tetsuji Tokihiro

Publication date: 9 August 2016

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

Full work available at URL: https://arxiv.org/abs/1512.09168

zbMATH Keywords

partial difference equationsingularity confinementdiscrete integrable systemlattice equationintegrability test

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Partial difference equations (39A14) Chaotic behavior of solutions of difference equations (39A33)

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Nonequilibrium physics in integrable systems and spin-flip non-invariant conserved quantities ⋮ Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation ⋮ A two-dimensional lattice equation as an extension of the Heideman–Hogan recurrence ⋮ Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice ⋮ On the coprimeness property of discrete systems without the irreducibility condition ⋮ Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation—investigation into their extended Laurent properties ⋮ Quivers with additive labelings: classification and algebraic entropy

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