Naslov
Fast Sweep Method For Computation of Isostables and Isochrons

Autori
Crnković, Bojan ; Škifić, Jerko ; Mezić, Igor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
ApplMath18 - Book of Abstracts.pdf / - , 2018, 21-21

Skup
Ninth Conference on Applied Mathematics and Scientific Computing (ApplMath18)

Mjesto i datum
Šibenik, Hrvatska, 17.09.2018. - 20.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
sostables, isochrons, Hamilton–Jacobi

Sažetak
We propose a fast iterative algorithm for computation of isostables and isochronsfor dynamical systems with stable limit cycles or fixed points in high dimensions.We formulate the problem as a solution to a first order static Hamilton–Jacobiequation with a constant source term and we solve the boundary problem using aEulerian Fast Sweeping Method developed for this type of problems. We apply thismethod on several illustrative examples of dynamical systems and show that this isan efficient, accurate method which can be used in a data-driven setting.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA