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Estimation of the Largest Lyapunov Exponent for a Model of Cross-Shaped Waves in a Rectangular Channel of Finite Size
The largest Lyapunov exponent characterizes the degree of exponential divergence of close trajectories of a dynamical system. The presence of a...
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Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent
We consider discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the orbits of a general hyperbolic...
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Quantitative lower bounds on the Lyapunov exponent from multivariate matrix inequalities
Lyapunov exponents characterize the asymptotic behavior of long matrix products. In this work we introduce a new technique that yields quantitative...
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Joint Continuity of Lyapunov Exponent for Finitely Smooth Quasi-periodic Schrödinger Cocycles
We prove the joint continuity of Lyapunov exponent in the energy and the Diophantine frequency for quasi-periodic Schrödinger cocycles with the C 2 ...
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Lyapunov Exponents for Generalized Szegő Cocycles
In this paper, we investigate the Lyapunov exponents of the generalized dynamically defined Szegő cocycle, corresponding to orthogonal polynomials on...
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A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations
We put forward a new method for obtaining quantitative lower bounds on the top Lyapunov exponent of stochastic differential equations. Our method...
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The Continuity Problem of Lyapunov Exponents
This is a survey of recent results on the dependence of Lyapunov exponents on the underlying data.
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Lyapunov Exponents for Linear Homogeneous Differential Equations
We consider linear continuous-time cocycles $$\Phi :\mathbb {R}\times...
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The Spectrum and Lyapunov Linear Instability of the Stationary State for Polymer Fluid Flows:The Vinogradov–Pokrovskii Model
We study the Lyapunov linear stability of the stationary state for flows of an incompressible viscoelastic polymer fluid in an infinite planar...
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Hyperbolicity or Zero Lyapunov Exponents for \(C^2\) -Hamiltonians
Hamiltonian systems on compact symplectic manifolds form a rich class of dynamical systems with many applications. We describe a proof that for a...
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Lyapunov exponent, Liao perturbation and persistence
Consider a C 1 vector field together with an ergodic invariant probability that has ℓ nonzero Lyapunov exponents. Using orthonormal moving frames...
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Criterion for Lyapunov Reducibility of a Linear Autonomous Differential System to a Linear Autonomous Equation
AbstractWe establish a unified criterion for the reducibility of a linear homogeneous differential system with constant coefficients to a linear...
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Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients
We discuss some variants of the Berry–Esseen inequality in terms of Lyapunov coefficients which may provide sharp rates of normal approximation.
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Some Questions and Remarks on Lyapunov Irregular Behavior for Linear Cocycles
In this note we consider continuous cocycles over the shift taking values on a Lie subgroup...
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The Finite-Time Expected Deviation Exponent for Continuous Dynamical Systems
AbstractIn this paper, we introduce a concept called the finite-time expected deviation exponent (FTEDE), which measures the expected separation...
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Criterion for Lyapunov stability of periodic Camassa–Holm equations
We study the Lyapunov stability of the periodic Camassa–Holm equation in terms of the periodic/anti-periodic eigenvalues and the associated spectral...
