On the Lyapunov exponent of certain \(SL (2,\mathbb R)\)-valued cocycles. II
From MaRDI portal
Publication:609440
DOI10.1007/s12591-010-0003-0zbMath1210.37011OpenAlexW1971779747MaRDI QIDQ609440
Luca Zampogni, Roberta Fabbri, Russell A. Johnson
Publication date: 30 November 2010
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12591-010-0003-0
Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60)
Related Items (5)
On integral separation of bounded linear random differential equations ⋮ Schrödinger operators with dynamically defined potentials ⋮ Lyapunov exponents for linear homogeneous differential equations ⋮ Fine properties of \(L^p\)-cocycles which allow abundance of simple and trivial spectrum ⋮ A biography of Russell A. Johnson
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
- A generalized integral manifold theorem
- Combinatorial rigidity for unicritical polynomials
- Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
- Kotani theory for one dimensional stochastic Jacobi matrices
- The recurrent Hill's equation
- The Lyapunov exponents of generic volume-preserving and symplectic maps
- Positivity and continuity of the Lyapunov exponent for shifts on \(\mathbb T^d\) with arbitrary frequency vector and real analytic potential
- Dynamics of generic 2-dimensional linear differential systems
- Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for \(SL(2,\mathbb R )\) cocycles
- Minimal subsets of projective flows
- On the spectrum of the one-dimensional Schrödinger operator
- Density of positive Lyapunov exponents for quasiperiodic SL\((2, \mathbb R)\)-cocycles in arbitrary dimension
- Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts
- Exponential dichotomy, rotation number, and linear differential operators with bounded coefficients
- Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
- Stochastic Schrödinger operators and Jacobi matrices on the strip
- Analyticity of spectral subbundles
- An example of a Schrödinger equation with almost periodic potential and nowhere dense spectrum
- The rotation number for almost periodic potentials
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- On almost reducible systems with almost periodic coefficients
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- Nontangential limit of the Weyl \(m\)-functions for the ergodic Schrödinger equation
- Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
- Genericity of exponential dichotomy for two-dimensional differential systems
- Rotation number associated with difference equations satisfied by polynomials orthogonal on the unit circle
- Hopf bifurcation from nonperiodic solutions of differential equations. I: Linear theory
- Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals
- On the nature of the spectrum of the quasi-periodic Schrödinger operator.
- Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations
- Positive Lyapunov exponent and minimality for the continuous 1-d quasi-periodic Schrödinger equation with two basic frequencies
- Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
- A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem
- Asymptotic cycles
- A perturbation theorem for exponential dichotomies
- The algebraic-geometric AKNS potentials
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Weak mixing for reparameterized linear flows on the torus
- Genericity of zero Lyapunov exponents
- Analytic families of reducible linear quasi-periodic differential equations
- A generic bounded linear cocycle has simple Lyapunov spectrum
- On the Lyapounov exponent of certain SL\((2,\mathbb{R})\)-valued cocycles
- Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
This page was built for publication: On the Lyapunov exponent of certain \(SL (2,\mathbb R)\)-valued cocycles. II
