Finite-time Lyapunov exponents in time-delayed nonlinear dynamical systems

2014 ◽  
Vol 89 (3) ◽  
Author(s):  
Kazutaka Kanno ◽  
Atsushi Uchida
Keyword(s):  
Dynamical Systems ◽  
Lyapunov Exponents ◽  
Finite Time ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Finite Time Lyapunov Exponents

NONLINEAR TIME SEQUENCE ANALYSIS

1991 ◽  
Vol 01 (03) ◽  
pp. 521-547 ◽  
Author(s):  
PETER GRASSBERGER ◽  
THOMAS SCHREIBER ◽  
CARSTEN SCHAFFRATH
Keyword(s):  
Dynamical Systems ◽  
Sequence Analysis ◽  
Lyapunov Exponents ◽  
Spectral Methods ◽  
Nonlinear Dynamical Systems ◽  
Short Review ◽  
Time Sequence ◽  
Nonlinear Dynamical ◽  
Time Sequences ◽  
Time Sequence Analysis

We review several aspects of the analysis of time sequences, and concentrate on recent methods using concepts from the theory of nonlinear dynamical systems. In particular, we discuss problems in estimating attractor dimensions, entropies, and Lyapunov exponents, in reducing noise and in forecasting. For completeness and since we want to stress connections to more traditional (mostly spectrum-based) methods, we also give a short review of spectral methods.

Sign in / Sign up

Export Citation Format

Share Document