scientific article

zbMath0604.58005MaRDI QIDQ3740666

Jan A. Sanders, Richard H. Cushman

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

nonsemisimple 1:1-resonancenormal forms of vector fieldsrepresentation theory of sl(2,\({bbfR})\)

Mathematics Subject Classification ID

Jets in global analysis (58A20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items

Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two, Normal form for generalized Hopf bifurcation with non-semisimple 1:1 resonance, Initial conditions for models of dynamical systems, Holomorphic normal form of nonlinear perturbations of nilpotent vector fields, Normal form for the (2;n)-nilpotent vector field, using invariant theory, Normal forms with exponentially small remainder and Gevrey normalization for vector fields with a nilpotent linear part, Generalized Hopf Bifurcation for Neutral Functional Differential Equations, BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY, Computing simplest normal forms for the Takens-Bogdanov singularity, Vector potential normal form classification for completely integrable solenoidal nilpotent singularities, Further reduction of the Takens-Bogdanov normal form, Nilpotent normal form for divergence-free vector fields and volume-preserving maps, Block Stanley decompositions. I: Elementary and gnomon decompositions, Real Birkhoff normal forms and complex coordinates, Normal form methods for symbolic creation of approximate solutions of nonlinear dynamical systems, Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods, Graph theory and classical invariant theory, Further reductions of normal forms for dynamical systems, Unique normal forms: The nilpotent Hamiltonian case