Analytic integrable systems: analytic normalization and embedding flows

DOI10.1016/j.jde.2013.01.016zbMath1335.34072arXiv1407.7945OpenAlexW2045891762MaRDI QIDQ1943483

Xiang Zhang

Publication date: 20 March 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7945

zbMATH Keywords

analytic normalizationanalytic integrable diffeomorphismanalytic integrable differential system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (19)

Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center ⋮ Local Darboux first integrals of analytic differential systems ⋮ Integrability of vector fields versus inverse Jacobian multipliers and normalizers ⋮ Zero-Hopf polynomial centers of third-order differential equations ⋮ A note on local integrability of differential systems ⋮ Local integrability and linearizability of a \((1:-1:-1)\) resonant quadratic system ⋮ A survey on local integrability and its regularity ⋮ The embedding flows of \(C^\infty\) hyperbolic diffeomorphisms ⋮ Inverse Jacobian multipliers and Hopf bifurcation on center manifolds ⋮ Integrability of 3-dim polynomial systems with three invariant planes ⋮ Analytic normalization of analytically integrable differential systems near a periodic orbit ⋮ Local integrability of a family of three-dimensional quadratic systems ⋮ Analytic integrability around a nilpotent singularity ⋮ Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddle ⋮ Varieties and analytic normalizations of partially integrable systems ⋮ Varieties of local integrability of analytic differential systems and their applications ⋮ Regularity and convergence of local first integrals of analytic differential systems ⋮ Complete integrability of diffeomorphisms and their local normal forms ⋮ Meromorphic first integrals of analytic diffeomorphisms

This page was built for publication: Analytic integrable systems: analytic normalization and embedding flows