ON THE CONTINUITY OF LIAO QUALITATIVE FUNCTIONS OF DIFFERENTIAL SYSTEMS AND APPLICATIONS

DOI10.1142/S0219199705001933zbMath1092.37013MaRDI QIDQ3379444

Xiongping Dai

Publication date: 6 April 2006

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentlinear skew-product flowLiao functions \(\omega _{k}\)Liao linearization

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) General theory of random and stochastic dynamical systems (37H05)

Related Items (5)

Robust vanishing of all Lyapunov exponents for iterated function systems ⋮ Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property ⋮ Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles ⋮ Exponential stability of nonautonomous linear differential equations with linear perturbations by Liao methods ⋮ Integral expressions of Lyapunov exponents for autonomous ordinary differential systems

Cites Work

• A proof of Oseledec's multiplicative ergodic theorem
• Analycity properties of the characteristic exponents of random matrix products
• Characteristic spectrum for differential systems
• Ergodic Properties of Linear Dynamical Systems
• Lyapunov exponents for some quasi-periodic cocycles
• LIAO STYLE NUMBERS OF DIFFERENTIAL SYSTEMS
• Linear cocycles with simple Lyapunov spectrum are dense in $L^\infty$
• Partial linearization of differentiable systems

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