Normal Form and Linearization for Quasiperiodic Systems

DOI10.2307/2154013zbMath0761.58046OpenAlexW4255178763MaRDI QIDQ3993859

No author found.

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2154013

zbMATH Keywords

normal formquasiperiodic systems

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Normal forms for dynamical systems (37G05) Qualitative theory for ordinary differential equations (34C99) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items

Dynamics of homoclinic tangles in periodically perturbed second-order equations, General laws of the analytic linearization for random diffeomorphisms, Comments on Poincaré theorem for quasi-periodic systems, Rotation numbers for random dynamical systems on the circle, A Siegel theorem for periodic difference systems, Takens theorem for random dynamical systems, Normalization and solvability of vector fields near trapped orbits, The Gevrey normalization for quasi-periodic systems under Siegel type small divisor conditions, Normal forms for nonautonomous differential equations

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On a quasi-periodic Hopf bifurcation
• Convergent series expansions for quasi-periodic motions
• Unfoldings and bifurcations of quasi-periodic tori
• Unnamed Item
• Unnamed Item
• Unnamed Item