Characteristic distributions of finite-time Lyapunov exponents

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 3, 1999, Pages 2761-2766

  Prasad, Awadhesh ^a   Ramaswamy, Ramakrishna ^a  

^a JAWAHARLAL NEHRU UNIVERSITY   (India)

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ARTICLE;

EID: 0001078820     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.2761     Document Type: Article

References (33)

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25. The effect of noise in the logistic map has been extensively studied 25, and it is known that noise generally lowers the threshold for chaos: systems with additive noise have a larger Lyapunov exponent for smaller nonlinearity. As a consequence, the finite-time Lyapunov exponents as well as their distributions can change considerably under added noise. We examined these effects by adding noise in the dynamics, (Formula presented) where (Formula presented) is the noise amplitude and the random variable (Formula presented) is (Formula presented) correlated in time. The global structure of the densities remains qualitatively unchanged for low noise amplitudes, although with increased noise strengths, the distributions all tend to the Gaussian.
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