The KAM theorem on the modulus of continuity about parameters
From MaRDI portal
Publication:6492448
DOI10.1007/S11425-022-2102-5MaRDI QIDQ6492448
Yong Li, Jiayin Du, Zhicheng Tong
Publication date: 25 April 2024
Published in: Science China. Mathematics (Search for Journal in Brave)
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Small divisors with spatial structure in infinite dimensional Hamiltonian systems
- On elliptic lower dimensional tori in Hamiltonian systems
- Existence of KAM tori in degenerate Hamiltonian systems
- Invariant tori for nearly integrable Hamiltonian systems with degeneracy
- A quasi-periodic Poincaré's theorem
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- Persistence of invariant tori on submanifolds in Hamiltonian systems
- KAM-stable Hamiltonians
- Multiscale KAM theorem for Hamiltonian systems
- Iso-manifold KAM persistence
- A KAM theorem for finitely differentiable Hamiltonian systems
- Persistence of Lagrange invariant tori at tangent degeneracy
- Integrability of hamiltonian systems on cantor sets
- Persistence of invariant tori in generalized Hamiltonian systems
- KAM theorem for Gevrey Hamiltonians
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
This page was built for publication: The KAM theorem on the modulus of continuity about parameters