Four collapsing one-dimensional particles: a dynamical system approach of the spherical billiard reduction F4JB0RR5JV

URI	`m2://res/F4JB0RR5JV`
Kind	preprint
Creators	Roberto Castorrini, Théophile Dolmaire
Date	2025-12-31
MSC	37-XX, 81-XX
Subjects	arxiv math.DS, arxiv math-ph, arxiv math.MP
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
Domain of the $\mathfrak{b}$-to-$\mathfrak{b}$ mapping $\widehat{\mathfrak{P}}$	definition	definition 3.2	arxiv
Unstability of the periodic orbit $13223122$	statement	theorem 7.3	arxiv
Action of the $\mathfrak{b}$-to-$\mathfrak{b}$ mapping $\widehat{\mathfrak{P}}$ on $\mathbb{P}_2(\mathbb{R})$	definition	definition 2.1	arxiv
PJK72FPPRC	statement	theorem 3.3	arxiv
QEEK7BD6PE	definition	definition	arxiv
Stability of the periodic orbit $132312$	statement	theorem 7.1	arxiv
Eigenelements of $P_2$	statement	proposition 5.3	arxiv
Eigenelements of $P_1$	statement	proposition 5.1	arxiv