Chain recurrence, growth rates and ergodic limits

DOI10.1017/S0143385707000363zbMath1134.37003MaRDI QIDQ5424915

Fritz Colonius, Russell A. Johnson, Roberta Fabbri

Publication date: 7 November 2007

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

rotation numberflowfiber bundleLyapunov exponent

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Dynamics induced by flows and semiflows (37C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Rotation numbers and vectors (37E45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

Growth rates for semiflows on Hausdorff spaces ⋮ Morse and Lyapunov spectra and dynamics on flag bundles ⋮ Topological fiber entropy for linear flows on vector bundles ⋮ A generalization of imaginary parts of eigenvalues for matrices: chain rotation numbers

Cites Work

• Morse decompositions and spectra on flag bundles
• Control sets and their boundaries under parameter variation
• Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems
• Chain transitive sets for flows on flag bundles
• Ergodic Properties of Linear Dynamical Systems
• Flows on Vector Bundles and Hyperbolic Sets
• The Morse spectrum of linear flows on vector bundles

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