Ergodic properties and rotation number for linear Hamiltonian systems
From MaRDI portal
Publication:1268408
DOI10.1006/jdeq.1998.3469zbMath0913.58025OpenAlexW1972726835MaRDI QIDQ1268408
Rafael Obaya, Sylvia Novo, Carmen Núñez
Publication date: 7 January 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3469
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ergodic theory (37A99)
Related Items
Null controllable sets and reachable sets for nonautonomous linear control systems ⋮ Dynamical methods for linear Hamiltonian systems with applications to control processes ⋮ Nonautonomous linear-quadratic dissipative control processes without uniform null controllability ⋮ Rotation numbers of linear Schrödinger equations with almost periodic potentials and phase transmissions ⋮ On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem ⋮ Rotation numbers of linear Hamiltonian systems with phase transitions over almost periodic lattices ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ The Kalman-Bucy filter revisited ⋮ Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems ⋮ Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation ⋮ On non-autonomous \(H^{\infty}\) control with infinite horizon ⋮ The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Prüfer transformation for differential systems
- Subharmonicity of the Lyapunov index
- m-functions and Floquet exponents for linear differential systems
- Stochastic Schrödinger operators and Jacobi matrices on the strip
- Sturmian theory for ordinary differential equations
- On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
- Hamiltonian systems of limit point or limit circle type with both endpoints singular
- An example of a Schrödinger equation with almost periodic potential and nowhere dense spectrum
- Topological dynamics and linear differential systems
- Directional differentiability of the rotation number for the almost- periodic Schrödinger equation
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- Fourier analysis on dynamical systems
- Nontangential limit of the Weyl \(m\)-functions for the ergodic Schrödinger equation
- Exponential dichotomy and rotation number for linear Hamiltonian systems
- An ergodic classification of bidimensional linear systems
- Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension
- On the oscillation of solutions of second order self-adjoint matrix differential equations
- Discrete and continuous boundary problems
- A Prufer Transformation for Matrix Differential Equations
- On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients
- Ergodic Properties of Linear Dynamical Systems
- Bidimensional linear systems with singular dynamics
- Two Point Boundary Problems for Second Order Matrix Differential Systems
- Isolated Invariant Sets for Flows on Vector Bundles
This page was built for publication: Ergodic properties and rotation number for linear Hamiltonian systems
