Kai Jiang, Laurent Stolovitch, “Complete Integrability of Diffeomorphisms and Their Local Normal Forms”, J Dyn Diff Equat, 33, № 3, 2021, 1179
Norman M. Cao, Di Qi, “Nearly integrable flows and chaotic tangles in the Dimits shift regime of plasma edge turbulence”, Physics of Plasmas, 30, № 9, 2023, 092307
Michaël Ayoul, Nguyen Tien Zung, “Galoisian obstructions to non-Hamiltonian integrability”, Comptes Rendus. Mathématique, 348, № 23-24, 2010, 1323
O. Bogoyavlenskij, P. Reynolds, “Form-invariant Poisson brackets of hydrodynamic type with several spatial variables”, Journal of Mathematical Physics, 49, № 5, 2008, 053520
Thierry Combot, “Non-integrability of a self-gravitating riemann liquid ellipsoid”, Regul. Chaot. Dyn., 18, № 5, 2013, 497
Nguyen Tien Zung, “A Conceptual Approach to the Problem of Action-Angle Variables”, Arch Rational Mech Anal, 229, № 2, 2018, 789
G. Giovanni Sparano, Gaetano Vilasi, “Noncommutative integrability and recursion operators”, Journal of Geometry and Physics, 36, № 3-4, 2000, 270
Shoya Motonaga, Kazuyuki Yagasaki, “Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems”, Nonlinearity, 34, № 11, 2021, 7574
Fei Liu, Xiang Zhang, “Integrable Natural Hamiltonian Systems on the Suspensions of Toric Automorphism”, Qual. Theory Dyn. Syst., 9, № 1-2, 2010, 301
Yong Li, Yingfei Yi, “Nekhoroshev and KAM Stabilities in Generalized Hamiltonian Systems”, J Dyn Diff Equat, 18, № 3, 2006, 577