Anholonomy and Geometrical Localization in Dynamical Systems

Simple item page
dc.creatorBalakrishnan, Radha
dc.creatorSatija, Indubala
dc.date2003-03-31
dc.date.accessioned2026-07-07T05:34:39Z
dc.date.available2026-07-07T05:34:39Z
dc.descriptionWe characterize the geometrical and topological aspects of a dynamical system by associating a geometric phase with a phase space trajectory. Using the example of a nonlinear driven damped oscillator, we show that this phase is resilient to fluctuations, responds to all bifurcations in the system, and also finds new geometric transitions. Enriching the phase space description is a novel phenomenon of ``geometrical localization'' which manifests itself as a significant deviation from planar dynamics over a short time interval.
dc.identifierhttps://arxiv.org/abs/nlin/0303071
dc.identifierhttp://arxiv.org/abs/nlin/0303071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80446
dc.subjectChaotic Dynamics
dc.titleAnholonomy and Geometrical Localization in Dynamical Systems
dc.typetext

Files

Collections

arXiv