Local finite-time Lyapunov exponent, local sampling and probabilistic source and destination regions
نویسندگان
چکیده
منابع مشابه
Local Lyapunov Functions for periodic and finite-time ODEs
Lyapunov functions for general systems are difficult to construct. However, for autonomous linear systems with exponentially stable equilibrium, there is a classical way to construct a global Lyapunov function by solving a matrix equation. Consequently, the same function is a local Lyapunov function for a nonlinear system. In this paper, we generalise these results to time-periodic and, in part...
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The Finite-time Lyapunov Exponent (FTLE) is a measure for the rate of separation of particles in time-dependent flow fields. It provides a valuable tool for the analysis of unsteady flows. Commonly it is defined based on the flow map, analyzing the separation of trajectories of nearby particles over a finite-time span. This paper proposes a localized definition of the FTLE using the Jacobian ma...
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ژورنال
عنوان ژورنال: Nonlinear Processes in Geophysics
سال: 2015
ISSN: 1607-7946
DOI: 10.5194/npg-22-663-2015