Math 2.0

Resources / preprint

Global asymptotic stability of homogeneous polynomial vector fields is undecidable YCRZC9SDCE

URIm2://res/YCRZC9SDCE
Kindpreprint
CreatorsIvan O. Shevchenko, Jun Liu, Xinzhi Liu
Date2026-10-08
MSC37-XX, 26-XX, 03-XX
Subjectsarxiv math.DS, arxiv math.CA, arxiv math.LO
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-08
IdsarXiv 2610.12434

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Uniform negative blocksstatementlemma 2.4arxiv
Recursive enumerability of GASstatementproposition 3.4arxiv
Yes-instances have no zero-drift orbitsstatementcorollary 12.2arxiv
Decidability for linear vector fieldsstatementlemma 6.3arxiv
Shifts with nonreal $a_0$statementlemma 11.4arxiv
Averages along linear flowsstatementlemma 9.4arxiv
Distance comparisonstatementlemma 4.4arxiv
Variable dimension and degreestatementcorollary 1.6arxiv
Positive constant termstatementlemma 8.3arxiv
Cubicizationstatementtheorem 1.2arxiv
Lyapunov stability as a uniform boundstatementlemma 2.2arxiv
Tarskistatementtheorem 2.1arxiv
Degenerate solutionsstatementlemma 10.4arxiv
Transfer of hardness in fixed dimension and degreestatementcorollary 6.5arxiv
A small-divisor bound for square roots of primesstatementlemma 9.2arxiv
BAGVTTQ0EAexampleexample 8.4arxiv
Bounds on the canonical graphstatementlemma 13.4arxiv
Uniformity of the cubicizationstatementproposition 6.4arxiv
Finite-horizon shadowingstatementproposition 5.7arxiv
Effective gradient inequalitystatementlemma 4.5arxiv
Degree raising and dimension paddingstatementlemma 6.1arxiv
General solutionstatementlemma 10.3arxiv
Invariant-measure dichotomystatementlemma 5.5arxiv
Shifted theta solutionsstatementlemma 11.1arxiv
Nonzero drift goes to infinitystatementlemma 13.3arxiv
Angular criterion for Lyapunov stabilitystatementlemma 3.1arxiv
GDEWVZ3R5Wstatementlemma 10.1arxiv
Recurrent states of the controllersstatementlemma 9.1arxiv
GAS of $H-\mathrm{id}$ and forward completeness in degree threestatementcorollary 7.3arxiv
Angular criterion for GASstatementlemma 3.2arxiv
H9K281XZ9Eexampleexample 4.1arxiv
Zero average drift gives a zero-drift orbitstatementlemma 13.2arxiv
Even degreesstatementlemma 6.2arxiv
Tangency estimatestatementlemma 5.1arxiv
Nonresonance of the frequenciesstatementcorollary 9.3arxiv
Central compactificationstatementlemma 13.1arxiv
Many-one hardness of Lyapunov stability for cubic vector fieldsstatementcorollary 1.4arxiv
Selection by three averagesstatementproposition 11.5arxiv
A fixed Diophantine templatestatementlemma 8.2arxiv
Strict sign gapstatementproposition 13.5arxiv
Points of the quadrics are values of theta functionsstatementlemma 11.2arxiv
The tubestatementlemma 5.4arxiv
Lipschitz constant of the lifted angular vector fieldstatementlemma 5.2arxiv
Complete solutionsstatementproposition 10.5arxiv
Continuationstatementproposition 11.3arxiv
QXXM0J3D8Gstatementtheorem A.1arxiv
Shape of the imagestatementlemma 10.6arxiv
Many-one completeness in one fixed dimension and degreestatementtheorem 1.5arxiv
The real conestatementlemma 4.3arxiv
Local structure of the conestatementlemma 4.2arxiv
Canonical solutionstatementlemma 10.2arxiv
Selection of the modular blockstatementproposition 10.7arxiv
Product-sphere wrapperstatementtheorem 14.1arxiv
Cubic normal formstatementtheorem 1.3arxiv
Main theorem: many-one completeness of GASstatementtheorem 1.1arxiv
Classification of zero-drift orbitsstatementtheorem 12.1arxiv
The canonical graphstatementlemma 12.3arxiv
MRDPstatementtheorem 8.1arxiv
Dynamics on the conestatementlemma 5.3arxiv
Averages on the conestatementlemma 5.6arxiv

Catalogue records