An Improved Eulerian Approach for the Finite Time Lyapunov Exponent
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0669-y
Abstract: We propose a new Eulerian numerical approach to compute the Jacobian of flow maps in continuous dynamical systems and subsequently the so-called finite time Lyapunov exponent (FTLE) for Lagrangian coherent structure extraction. The original approach… read more here.
Keywords: time lyapunov; finite time; lyapunov exponent; time ... See more keywords
Finite-time Lyapunov fluctuations and the upper bound of classical and quantum out-of-time-ordered expansion rate exponents.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.l062201
Abstract: This Letter demonstrates for chaotic maps [logistic, classical, and quantum standard maps (SMs)] that the exponential growth rate (Λ) of the out-of-time-ordered four-point correlator is equal to the classical Lyapunov exponent (λ) plus fluctuations (Δ^{(fluc)})… read more here.
Keywords: time ordered; time; finite time; time lyapunov ... See more keywords
Backward Finite-Time Lyapunov Exponents in Inertial Flows
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Visualization and Computer Graphics"
DOI: 10.1109/tvcg.2016.2599016
Abstract: Inertial particles are finite-sized objects that are carried by fluid flows and in contrast to massless tracer particles they are subject to inertia effects. In unsteady flows, the dynamics of tracer particles have been extensively… read more here.
Keywords: time lyapunov; finite time; tracer particles; inertial particles ... See more keywords