Samuel W. Akingbade, Marian Gidea, Tere M-Seara, “Arnold Diffusion in a Model of Dissipative System”, SIAM J. Appl. Dyn. Syst., 22, № 3, 2023, 1983
Andrew Clarke, Jacques Fejoz, Marcel Guardia, “A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes”, Arch Rational Mech Anal, 248, № 2, 2024, 19
M. Guardia, V. Kaloshin, J. Zhang, “A Second Order Expansion of the Separatrix Map for Trigonometric Perturbations of a Priori Unstable Systems”, Commun. Math. Phys., 348, № 1, 2016, 321
A. A. Kilin, E. N. Pivovarova, “Chaplygin Top with a Periodic Gyrostatic Moment”, Russ. J. Math. Phys., 25, № 4, 2018, 509
Amadeu Delshams, Marian Gidea, Rafael Llave, Tere M. Seara, Hamiltonian Dynamical Systems and Applications, 2008, 285
Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic invariants, diffusion and acceleration in rigid body dynamics”, Regul. Chaot. Dyn., 21, № 2, 2016, 232
Chong-Qing Cheng, Xia Li, “Variational construction of unbounded orbits in Lagrangian systems”, Sci. China Math., 53, № 3, 2010, 617
R.W. Easton, J.D. Meiss, G. Roberts, “Drift by coupling to an anti-integrable limit”, Physica D: Nonlinear Phenomena, 156, № 3-4, 2001, 201
Patrick Bernard, “The dynamics of pseudographs in convex Hamiltonian systems”, J. Amer. Math. Soc., 21, № 3, 2008, 615
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration”, Regul. Chaot. Dyn., 22, № 8, 2017, 955