On global Lyapunov functions being Morse PMZEF75W7S

URI	`m2://res/PMZEF75W7S`
Kind	preprint
Creators	Wouter Jongeneel
Date	2026-10-04
MSC	37-XX, 49-XX, 90-XX, 93-XX
Subjects	arxiv math.DS, arxiv cs.SY, arxiv eess.SY, arxiv math.OC
Scope	in

Expressions

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

Item	Kind	Where	Source
the existence of Morse Lyapunov functions	statement	theorem 3.1	arxiv
Non-hyperbolic planar system with a Morse Lyapunov function	example	example 3.7	arxiv
$\mathcal{HS}_0^r(\mathbb{R}^n)$ is path-connected	statement	corollary 3.3	arxiv
Marginal stability and Lyapunov equations	statement	lemma 3.8	arxiv
Existence of Morse Lyapunov functions	statement	corollary 3.9	arxiv
Trivial Lyapunov functions	statement	corollary 3.4	arxiv
Morse Lyapunov functions do not always exist	statement	proposition 3.5	arxiv
Lyapunov functions being quadratic, up to a change of coordinates	statement	proposition 2.1	arxiv