DOI10.1016/0021-8928(81)90116-7zbMath0515.70019OpenAlexW2029122232MaRDI QIDQ1052117
Anatoly I. Neishtadt
Publication date: 1981
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8928(81)90116-7
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)
Hamilton's equations (70H05)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion,
On the length and area spectrum of analytic convex domains,
Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions,
Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems,
The behaviour of a nonlinear Hamiltonian system with one degree of freedom at the boundary of a parametric resonance domain,
Third-order resonance in a Hamiltonian system with one degree of freedom,
Nonlinear oscillations of a Hamiltonian system with two degrees of freedom with 2:1 resonance,
Nonlinear oscillations of a 1:1 resonance Hamiltonian system,
Rigorous computer-assisted application of KAM theory: a modern approach,
On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems,
Stable dynamics in forced systems with sufficiently high/low forcing frequency,
On the topology of nearly-integrable Hamiltonians at simple resonances,
Global properties of generic real-analytic nearly-integrable Hamiltonian systems,
Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential,
Kolmogorov theorem revisited,
On nonlinear motions of Hamiltonian system in case of fourth order resonance,
On the relationship between the Bruno function and the breakdown of invariant tori,
Unnamed Item,
V. I. Arnold's ``Global KAM theorem and geometric measure estimates, Explicit estimates on the measure of primary KAM tori, A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems, On the geometry of an atmospheric slow manifold, Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows., A Parameterization Method for Lagrangian Tori of Exact Symplectic Maps of $R^2r$, A study of the motions of an autonomous Hamiltonian system at a 1:1 resonance, Effective bounds for the measure of rotations, V. I. Arnold's ``Pointwise KAM theorem,
On Nonlinear Resonant Oscillations of a Rigid Body Generated by Its Conical Precession,
Anatolii Iserovish Neishtadt,
Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system,
Loss of stability in Hamiltonian systems that depend on parameters
