Integrability in a Nonlinear Model of Swing Oscillatory Motion

Autor:	Svetoslav G. Nikolov, Vassil M. Vassilev
Rok vydání:	2023
Předmět:	Geometry and Topology Mathematical Physics
Zdroj:	Journal of Geometry and Symmetry in Physics. 65:93-108
ISSN:	1314-5673 1312-5192
DOI:	10.7546/jgsp-65-2023-93-108
Popis:	Nonlinear dynamical systems can be studied in many different directions: i)~finding integrable cases and their analytical solutions, ii)~investigating the algebraic nature of the integrability, iii)~topological analysis of integrable systems, and so on. The aim of the present paper is to find integrable cases of a dynamical system describing the rider and the swing pumped (from the seated position) as a compound pendulum. As a result of our analytical calculations, we can conclude that this system has two integrable cases when: 1)~the dumbbell lengths and point-masses meet a special condition; 2)~the gravitational force is neglected.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d2cdb2d46af21cdc9fd8bde7c4639d4d https://doi.org/10.7546/jgsp-65-2023-93-108 Zobrazit plný text záznamu