Arbitrarily large heteroclinic networks in fixed low-dimensional state space

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Castro, SBSD (Autor) FEP; Lohse, A (Autor) Outra

Revista

Título: Chaos

Vol. 33

ISSN: 1054-1500

Editora: American Institute of Physics

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00Z-13P

DOI: 10.1063/5.0156192

Abstract (EN): We consider heteroclinic networks between n & ISIN; N nodes where the only connections are those linking each node to its two subsequent neighboring ones. Using a construction method where all nodes are placed in a single one-dimensional space and the connections lie in coordinate planes, we show that it is possible to robustly realize these networks in R- 6 for any number of nodes n using a polynomial vector field. This bound on the space dimension (while the number of nodes in the network goes to 8) is a novel phenomenon and a step toward more efficient realization methods for given connection structures in terms of the required number of space dimensions. We briefly discuss some stability properties of the generated heteroclinic objects.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16