A Review of the 'Third' integral

Autor: George Contopoulos
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics in Engineering, Vol 2, Iss 3, Pp 472-511 (2020)
Druh dokumentu: article
ISSN: 2640-3501
DOI: 10.3934/mine.2020022/fulltext.html
Popis: We present the history of the third integral from a personal viewpoint. In particular, we mention the discovery of particular forms of the third integral, especially in resonant cases, the generation of chaos due to resonance overlap, the nonlinear theory of spiral density waves and applications in relativity and cosmology and in quantum mechanics. Finally we refer to some recent developments concerning the use of the third integral in finding chaotic orbits.
Databáze: Directory of Open Access Journals