Optimal estimates on rotation number of almost periodic systems

DOI10.1007/s00033-005-0020-yzbMath1099.34044OpenAlexW2145056779MaRDI QIDQ2490696

Hao Feng, Meirong Zhang

Publication date: 18 May 2006

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-005-0020-y

zbMATH Keywords

almost-periodicasymmetric systemRotation number

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Nonlinear ordinary differential operators (34L30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Topological dynamics of nonautonomous systems (37B55) Rotation numbers and vectors (37E45)

Related Items (11)

The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions ⋮ Lyapunov stability of periodic solutions of the quadratic Newtonian equation ⋮ Rotation numbers of linear Schrödinger equations with almost periodic potentials and phase transmissions ⋮ Lyapunov stability of elliptic periodic solutions of nonlinear damped equations ⋮ Rotation numbers for random dynamical systems on the circle ⋮ Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian ⋮ Continuity in weak topology: higher order linear systems of ODE ⋮ ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS ⋮ Optimal conditions for maximum and antimaximum principles of the periodic solution problem ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method ⋮ The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials

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