Partial linearization of differentiable systems

DOI10.1080/10236190500273432zbMath1097.37012OpenAlexW2140374998MaRDI QIDQ5704451

Xiongping Dai

Publication date: 15 November 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190500273432

zbMATH Keywords

Lyapunov exponentsLiao linearizationPerron triangularizationqualitative function \(\omega_{k}\)

Mathematics Subject Classification ID

Additive difference equations (39A10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Topological dynamics of nonautonomous systems (37B55)

Related Items

Standard Systems of Discrete Differentiable Dynamical Systems, A note on the shadowing lemma of Liao: a generalized and improved version, Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles, ON THE CONTINUITY OF LIAO QUALITATIVE FUNCTIONS OF DIFFERENTIAL SYSTEMS AND APPLICATIONS

Cites Work

• A proof of Oseledec's multiplicative ergodic theorem
• Ergodic Properties of Linear Dynamical Systems
• A Dynamical Proof of the Multiplicative Ergodic Theorem
• LIAO STYLE NUMBERS OF DIFFERENTIAL SYSTEMS
• Standard Systems of Discrete Differentiable Dynamical Systems
• Differentiable dynamical systems