Linked Life Data

15903557

Source:http://linkedlifedata.com/resource/pubmed/id/15903557

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PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
3 Pt 2A
pubmed:dateCreated
2005-5-20
pubmed:abstractText
We propose a method that allows us to analytically compute the largest Lyapunov exponent of a Hamiltonian chaotic system from the knowledge of a few unstable periodic orbits (UPOs). In the framework of a recently developed theory for Hamiltonian chaos, by computing the time averages of the metric tensor curvature and of its fluctuations along analytically known UPOs, we have re-derived the analytic value of the largest Lyapunov exponent for the Fermi-Pasta-Ulam-beta (FPU-beta) model. The agreement between our results and the Lyapunov exponents obtained by means of standard numerical simulations confirms the point of view which attributes to UPOs the special role of efficient probes of general dynamical properties, among them chaotic instability.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Mar
pubmed:issn
1539-3755
pubmed:author
pubmed:issnType
Print
pubmed:volume
71
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
036218
pubmed:year
2005
pubmed:articleTitle
Lyapunov exponents from unstable periodic orbits.
pubmed:affiliation
Dipartimento di Fisica, Università di Pisa, via Buonarroti 2, I-56127 Pisa, Italy. Roberto.Franzosi@df.unipi.it
pubmed:publicationType
Journal Article