Fingerprints of Chaos

dc.creatorBaran, Virgil
dc.creatorBonasera, Aldo
dc.date1998-04-13
dc.date.accessioned2026-07-07T02:35:25Z
dc.date.available2026-07-07T02:35:25Z
dc.descriptionThe asymptotic distance between trajectories $d_{\infty}$, is studied in detail to characterize the occurrence of chaos. We show that this quantity is quite distinct and complementary to the Lyapunov exponents, and it allows for a quantitave estimate for the folding mechanism which keeps the motion bounded in phase space. We study the behaviour of $d_{\infty}$ in simple unidimensional maps. Near a critical point $d_{\infty}$ has a power law dependence on the control parameter. Furthermore, at variance with the Lyapunov exponents, it shows jumps when there are sudden changes on the available phase-space.
dc.description11 pages (LaTex), 3 Postscript figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9804023
dc.identifierhttp://arxiv.org/abs/chao-dyn/9804023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15603
dc.subjectChaotic Dynamics
dc.titleFingerprints of Chaos
dc.typetext

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