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Statistics of finite-time Lyapunov exponents

Grant number: 12/05927-2
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): May 01, 2012
Effective date (End): April 30, 2013
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Marcus Vinicius Segantini Bonança
Grantee:Lucas Ribeiro Lopes Cardoso
Home Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

Our main goal is to characterize the statistics of finite-time Lyapunov exponent for continuum-time systems presenting strange attractors. Lorenz, Rossler and Chua systems are typical examples in the literature. We also want to determine numerically the behavior of the second moment as a function of total integration time. We expect it to decrease since, for ergodic systems, its asymptotic value must be zero. Besides, we want to investigate the statistics of the maximum values obtained for the finite-time exponent to characterize its extreme value statistics.