Almost-global convergence to twisted states in discrete Huygens rings CHPJWBREES

URI	`m2://res/CHPJWBREES`
Kind	preprint
Creators	Jorge Buescu, Henrique M. Oliveira
Date	2026-10-14
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
Multipliers along the critical circles	statement	proposition 3.9	arxiv
Slow-time dichotomy	statement	lemma A.1	arxiv
Null preimages	statement	proposition 2.5	arxiv
Local normal form	statement	lemma 5.1	arxiv
Hyperbolicity and Morse index	statement	proposition 2.3	arxiv
Strict-saddle basins	statement	proposition 4.5	arxiv
Angular limit	statement	lemma 5.3	arxiv
Absolute minima	statement	corollary 4.4	arxiv
Zero-level directions	statement	lemma 5.2	arxiv
Fixed points and convergence	statement	proposition 2.2	arxiv
Completely degenerate basins	statement	proposition 5.5	arxiv
Multipliers of a uniform twist	statement	proposition 4.1	arxiv
Critical-point classification	statement	theorem 3.1	arxiv
Local basin of the degenerate intersection	statement	proposition 5.4	arxiv
Number of sinks	statement	corollary 4.3	arxiv
Instability of the intersection points	statement	proposition 3.10	arxiv
Almost-global convergence to uniform twists	statement	theorem 5.6	arxiv
Local minima and sinks	statement	theorem 4.2	arxiv
Descent and invertibility	statement	theorem 2.1	arxiv
Critical set for multiples of four	statement	theorem 3.4	arxiv
Hessian geometry of the critical circles	statement	proposition 3.6	arxiv
Critical-point count	statement	corollary 3.2	arxiv
Convergence of the full phase map	statement	corollary 2.4	arxiv
Critical-set counts	statement	corollary 3.5	arxiv