V. I. Arnol'd, “Instability of dynamical systems with many degrees of freedom”, Dokl. Akad. Nauk SSSR, 156:1 (1964), 9

This publication is cited in the following 39 articles:

Andrew Clarke, “Geodesics with Unbounded Speed on Fluctuating Surfaces”, Regul. Chaotic Dyn., 29:3 (2024), 435–450
Valery Kozlov, “On the diffusion mechanism in Hamiltonian systems”, Funct. Anal. Appl., 58:4 (2024), 362–370
P. M. Cincotta, C. M. Giordano, “Chaotic Diffusion in a Triaxial Galactic Model: an Example of Global Stable Chaos”, Rus. J. Nonlin. Dyn., 20:4 (2024), 427–447
Valery V. Kozlov, “Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations”, Regul. Chaotic Dyn., 28:3 (2023), 251–264
Luca Biasco, Luigi Chierchia, “Complex Arnol'd – Liouville Maps”, Regul. Chaotic Dyn., 28:4-5 (2023), 395–424
Jacques Fejoz, Marcel Guardia, “A Remark on the Onset of Resonance Overlap”, Regul. Chaotic Dyn., 28:4-5 (2023), 578–584
R. R. Mukhin, “Evolyutsiya osnovnykh polozhenii teorii ustoichivosti”, Chebyshevskii sb., 23:4 (2022), 327–349
Alexander A. Karabanov, Albert D. Morozov, “On Resonances in Hamiltonian Systems with Three Degrees of Freedom”, Regul. Chaotic Dyn., 24:6 (2019), 628–648
Vyacheslav P. Kruglov, Sergey P. Kuznetsov, “Topaj – Pikovsky Involution in the Hamiltonian Lattice of Locally Coupled Oscillators”, Regul. Chaotic Dyn., 24:6 (2019), 725–738
Kazuyuki Yagasaki, “Heteroclinic Transition Motions in Periodic Perturbations of Conservative Systems with an Application to Forced Rigid Body Dynamics”, Regul. Chaotic Dyn., 23:4 (2018), 438–457
Arnd Bäcker, James D. Meiss, “Moser’s Quadratic, Symplectic Map”, Regul. Chaotic Dyn., 23:6 (2018), 654–664
Nathan Guillery, James D. Meiss, “Diffusion and Drift in Volume-Preserving Maps”, Regul. Chaotic Dyn., 22:6 (2017), 700–720
Abed Bounemoura, “Generic Perturbations of Linear Integrable Hamiltonian Systems”, Regul. Chaotic Dyn., 21:6 (2016), 665–681
M. N. Davletshin, D. V. Treschev, “Arnold diffusion in a neighborhood of strong resonances”, Proc. Steklov Inst. Math., 295 (2016), 63–94
M. B. Gubaidullin, “Commensurability and Molchanov's hypothesis”, Theoret. and Math. Phys., 187:1 (2016), 570–582
S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Russian Math. Surveys, 70:6 (2015), 975–1030
Jacky Cresson, Stephen Wiggins, “A $\lambda$ -lemma for Normally Hyperbolic Invariant Manifolds”, Regul. Chaotic Dyn., 20:1 (2015), 94–108
Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez, “Continuation of the Exponentially Small Transversality for the Splitting of Separatrices to a Whiskered Torus with Silver Ratio”, Regul. Chaotic Dyn., 19:6 (2014), 663–680
Mikhail B. Sevryuk, “Translation of the V. I. Arnold Paper “From Superpositions to KAM Theory” (Vladimir Igorevich Arnold. Selected–60, Moscow: PHASIS, 1997, pp. 727–740)”, Regul. Chaotic Dyn., 19:6 (2014), 734–744
Abed Bounemoura, Vadim Kaloshin, “Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom”, Mosc. Math. J., 14:2 (2014), 181–203