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Integrable mappings of the plane preserving biquadratic invariant curves. III

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Publication:1397334
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DOI10.1016/S0378-4371(03)00268-1zbMath1083.37521MaRDI QIDQ1397334

Apostolos Iatrou, John A. G. Roberts

Publication date: 27 July 2003

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


zbMATH Keywords

IntegrabilityInvariantFoliationBiquadraticIntegrable map


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)


Related Items

Singularity confinement and algebraic integrability ⋮ Real dynamics of integrable birational maps



Cites Work

  • Unnamed Item
  • A new family of four-dimensional symplectic and integrable mappings
  • Integrable mappings and soliton equations
  • Integrable mappings and soliton equations. II
  • Integrable mappings of the plane preserving biquadratic invariant curves
  • Arithmetical Method to Detect Integrability in Maps
  • Integrable maps
  • Discrete versions of the Painlevé equations
  • Do integrable mappings have the Painlevé property?
  • Integrable mappings of the plane preserving biquadratic invariant curves II
  • Interchanging parameters and integrals in dynamical systems: the mapping case
  • Growth and integrability in discrete systems
  • Singularity confinement and algebraic integrability
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