Statistics of finite-time Lyapunov exponents

• Grant number: 12/05927-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2012
• End date: April 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcus Vinicius Segantini Bonança
• Grantee: Lucas Ribeiro Lopes Cardoso
• Host 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. (AU)