Journal Article PUBDB-2017-09896

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Lyapunov exponents, path-integrals and forms

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1994
Elsevier Science Amsterdam [u.a.]

Chaos, solitons & fractals 4(7), 1117 - 1139 () [10.1016/0960-0779(94)90026-4]
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Abstract: In this paper we use a path-integral approach to represent the Lyapunov exponents of both deterministic and stochastic dynamical systems. In both cases the relevant correlation functions are obtained from a (one-dimensional) supersymmetric field theory whose Hamiltonian, in the deterministic case, coincides with the Lie derivative of the associated Hamiltonian flow. The generalized Lyapunov exponents turn out to be related to the partition functions of the respective super-Hamiltonian restricted to the spaces of fixed form-degree.

Classification:

Note: Theorie

Contributing Institute(s):
  1. DESY Retrocat (DESY(-2012))
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)
Experiment(s):
  1. No specific instrument

Database coverage:
Medline ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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 Record created 2017-08-26, last modified 2025-08-04


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