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A new approach to integrals of discretizations by polarization

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Publication:6607421
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DOI10.46298/OCNMP.11571MaRDI QIDQ6607421

Yuri B. Suris

Publication date: 18 September 2024

Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)




zbMATH Keywords

discrete integrable systemsintegrable discretizations


Mathematics Subject Classification ID

Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)


Cites Work

  • On integrability of Hirota-Kimura type discretizations
  • Analogues of Kahan's method for higher order equations of higher degree
  • Integrability properties of Kahanʼs method
  • On Integrability of Hirota–Kimura-Type Discretizations: Experimental Study of the Discrete Clebsch System
  • Geometric properties of Kahan's method
  • Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems
  • Discretization of polynomial vector fields by polarization







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