Finite-time Lyapunov exponents of Strange Nonchaotic Attractors

1998/01/15 by Awadhesh Prasad, Prasad, Awadhesh, Ramakrishna Ramaswamy +1
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9801021

5 postscript figures; to appear in the proceedings of the conf on nonlinear dynamics: integrability and chaos (Bharathidasan university, India)

arxiv created 1998/01/15 · openalex publication_date 1998/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The probability distribution of finite-time Lyapunov exponents provides an important characterization of dynamical attractors. We study such distributions for strange nonchaotic attractors (SNAs) created through several different mechanisms in quasiperiodically forced nonlinear dynamical systems. Statistical properties of the distributions such as the variance and the skewness also distinguish between SNAs formed by different bifurcation routes.

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