Complexity and integrability in 4D bi-rational maps with two invariants

DOI10.1007/978-3-030-57000-2_2zbMath1464.37067arXiv1808.04942OpenAlexW3002826962MaRDI QIDQ2658237

Giorgio Gubbiotti, Dinh T. Tran, Nalini Joshi, Claude Viallet

Publication date: 19 March 2021

Full work available at URL: https://arxiv.org/abs/1808.04942

zbMATH Keywords

complexityintegrabilityalgebraic entropyhigher-order difference equationgrowth of bi-rational maps

Mathematics Subject Classification ID

Rational and birational maps (14E05) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items (7)

Classification of variational multiplicative fourth-order difference equations ⋮ Coalgebra symmetry for discrete systems ⋮ Growth and integrability of some birational maps in dimension three ⋮ Re-factorising a QRT map ⋮ Super-QRT and 4D-mappings reduced from the lattice super-KdV equation ⋮ Algebraic entropy of a class of five-point differential-difference equations ⋮ A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants

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