Morse-Smale dynamics in discrete Huygens networks 1JCPN0K7DB

URI	`m2://res/1JCPN0K7DB`
Kind	preprint
Creators	Jorge Buescu, Emma D'Aniello, Henrique M. Oliveira
Date	2026-10-07
MSC	37-XX
Subjects	arxiv math.DS
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
A tree obstruction to transversality	statement	proposition 5.11	arxiv
Six-vertex tree counterexample	statement	proposition 5.12	arxiv
Weighted paths	statement	corollary 5.6	arxiv
Sinusoidal paths	statement	corollary 5.4	arxiv
Fixed points and convergence	statement	proposition 3.4	arxiv
Structural stability	statement	corollary 5.8	arxiv
Reduced potential and gradient map	statement	proposition 2.2	arxiv
Almost-global convergence	statement	theorem 3.7	arxiv
Invariant coordinate slabs	statement	lemma 4.2	arxiv
Hessian bound	statement	lemma 3.1	arxiv
Graphs containing a spanning path	statement	corollary 5.9	arxiv
Hyperbolicity and Morse index	statement	proposition 3.5	arxiv
A matrix criterion for Morse--Smale dynamics	statement	theorem 4.1	arxiv
Critical points on trees	statement	proposition 5.1	arxiv
Weighted matrix criterion	statement	theorem 4.6	arxiv
Descent and invertibility	statement	theorem 3.2	arxiv
Adjoint criterion for transversality	statement	lemma 4.3	arxiv
Sinusoidal trees	statement	corollary 5.2	arxiv
Optimal step sizes on trees	statement	corollary 5.3	arxiv
All-to-all interaction	statement	proposition 5.13	arxiv
The star with three leaves	statement	corollary 5.5	arxiv
Gradient structure and phase symmetry	statement	proposition 2.1	arxiv