Non-algebraic integrability of the Chew-Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case)

DOI10.1016/0167-2789(94)00231-EzbMath0888.58054MaRDI QIDQ1346874

K. V. Rerikh

Publication date: 27 March 1995

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Chew-Low equationsCremona mappingnon-algebraic integrabilitysmooth reversible dynamical system

Mathematics Subject Classification ID

Nuclear physics (81V35) Normal forms for dynamical systems (37G05) Approximation to algebraic numbers (11J68) Dynamical systems over complex numbers (37F99)

Related Items

Nonalgebraic integrability of one reversible dynamical system of the Cremona type ⋮ Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I ⋮ Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions ⋮ On the degree growth of birational mappings in higher dimension ⋮ Growth-complexity spectrum of some discrete dynamical systems ⋮ Real topological entropy versus metric entropy for birational measure-preserving transformations ⋮ Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems

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