Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields - MaRDI portal

Finitely-smooth normal forms of local families of diffeomorphisms and vector fields

From MaRDI portal
Publication:4000587

DOI10.1070/RM1991v046n01ABEH002733zbMath0744.58006OpenAlexW2009734469MaRDI QIDQ4000587

Yulij S. Ilyashenko, Sergey Yu. Yakovenko

Publication date: 26 September 1992

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1991v046n01abeh002733




Related Items (59)

Normal forms near a symmetric planar saddle connectionAsymptotic properties of the Dulac map near a hyperbolic saddle in dimension threeAsymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general settingLorenz attractors in unfoldings of homoclinic-flip bifurcationsCentennial History of Hilbert's 16th ProblemLimit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systemsHow often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangencyNon-quadratic additional conserved quantities in Birkhoff normal formsCohomology equations near hyperbolic points and geometric versions of Sternberg linearization theoremLinear estimation and distribution of the limit cycles bifurcated from a kind of degenerate polycyclesIsochronous properties in fractal analysis of some planar vector fieldsBifurcation phenomenon of a class of planar codimension 3 polycycle \(S^{(2)}\) with two saddles resonatingThe dud canard: existence of strong canard cycles in \(\mathbb{R}^3\)Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systemsTruncation of Contact Defects in Reaction-Diffusion SystemsGeometric blow-up for folded limit cycle manifolds in three time-scale systemsFinite cyclicity of elementary graphics surrounding a focus or center in quadratic systems.PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert's 16th problem.A non-transverse homoclinic orbit to a saddle-node equilibriumOn the flat remainder in normal forms of families of analytic planar saddlesPartially hyperbolic fixed points with constraintsNormal forms and Sternberg conjugation theorems for infinite dimensional coupled map latticesConjugacy of vector fields respecting additional properties.Cyclicity of several planar graphics and ensembles through three singular points without generic conditionsSingular heteroclinic cyclesNormal forms for periodic orbits of real vector fieldsHilbert's 16-th problem for quadratic vector fields and cyclicity of graphicsPoincaré type theorems for non-autonomous systemsCyclicity of elementary polycycles with fixed number of singular points in generic $k$-parameter familiesGevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddleVarious closeness results in discretized bifurcationsBifurcation of limit cycles near polycycles with \(n\) verticesHomoclinic and Heteroclinic Bifurcations Close to a Twisted Heteroclinic CycleFinite cyclicity of finite codimension nondegenerate homoclinic loops with real eigenvalues in \(\mathbb{R}^3\)Accumulations of \(T\)-points in a model for solitary pulses in an excitable reaction-diffusion mediumFinite cyclicity of some center graphics through a nilpotent point inside quadratic systemsCyclicity of elementary polycycles and ensembles with codimension \(3\) degeneration.Takens theorem for random dynamical systemsLocal analytic models for families of hyperbolic vector fieldsPolynomial and linearized normal forms for almost periodic differential systemsNormal forms for almost periodic differential systemsFormal and analytic normal forms for non-autonomous difference systems with uniform dichotomy spectrumCyclicity of planar polycycles and ensembles with codimension 3 degeneration through a saddle-node and two hyperbolic saddlesSADDLE QUANTITIES AND CYCLICITY OF 2-POLYCYCLEFamilies of vector fields with many numerical invariantsEmbedding diffeomorphisms in flows in Banach spacesTHE SEPARATRIX VALUES OF A PLANAR HOMOCLINIC LOOPAsymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local settingQuasi-linearization of parameter-depending germs of vector fieldsGenericity conditions for finite cyclicity of elementary graphicsCyclicity of infinite contour around certain reversible quadratic centerCyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the planeHyperbolic Roussarie fields with degenerate quadratic partUnnamed ItemCyclicity of degenerate polycycles through a saddle-node and two hyperbolic saddlesSmooth normalization of a vector field near a semistable limit cycleFinite cyclicity of graphics with a nilpotent singularity of saddle or elliptic typeNormal forms for nonautonomous differential equationsA Preparation Theorem for a Class of Non-differentiable Functions with an Application to Hilbert’s 16th Problem




This page was built for publication: Finitely-smooth normal forms of local families of diffeomorphisms and vector fields