2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141426This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many physically interesting examples.7 pages, no figures, Physics department, St Xavier's college, Mumbai, India; visitor, Institute of mathematical sciences, ChennaiStatistical Mechanicstext