Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations
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Publication:6597613
DOI10.1063/5.0196229zbMATH Open1545.37051MaRDI QIDQ6597613
Publication date: 3 September 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Motion of charged particles (78A35)
Cites Work
- Title not available (Why is that?)
- The steep Nekhoroshev's theorem
- Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians
- Stability of motions near resonances in quasi-integrable Hamiltonian systems
- Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I
- Exponential stability for time dependent potentials
- Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems
- Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in \(\mathbb{R}^D\)
- Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
- Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
- Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II
- Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori
- A \(C^\infty\) Nekhoroshev theorem
- Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component
- Nekhoroshev's estimates for quasi-periodic time-dependent perturbations
- Long time dynamics of Schrödinger and wave equations on flat tori
- Growth of Sobolev norms for abstract linear Schrödinger equations
- Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori
- Hamiltonian perturbation theory for ultra-differentiable functions
- Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds
- Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations
- A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- Complex analysis and convolution operators
- Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part I
- Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
- On the spectrum of the Schrödinger operator on 𝕋d: a normal form approach
- Wandering domains and random walks in Gevrey near-integrable systems
- A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori
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