Loading...
conference paper
Unstable periodic orbits in the Lorenz attractor
2011
Philosophical Transactions Of The Royal Society A-Mathematical Physical And Engineering Sciences
We apply a new method for the determination of periodic orbits of general dynamical systems to the Lorenz equations. The accuracy of the expectation values obtained using this approach is shown to be much larger and have better convergence properties than the more traditional approach of time averaging over a generic orbit. Finally, we discuss the relevance of the present work to the computation of unstable periodic orbits of the driven Navier-Stokes equations, which can be simulated using the lattice Boltzmann method.
Type
conference paper
Web of Science ID
WOS:000290095200023
Authors
Boghosian, Bruce M.
•
Brown, Aaron
•
Laett, Jonas
•
Tang, Hui
•
Fazendeiro, Luis M.
•
Coveney, Peter V.
Publication date
2011
Published in
Philosophical Transactions Of The Royal Society A-Mathematical Physical And Engineering Sciences
Volume
369
Start page
2345
End page
2353
Peer reviewed
NON-REVIEWED
EPFL units
Event name | Event place | Event date |
Rome, ITALY | Jul 05-08, 2010 | |
Available on Infoscience
December 16, 2011
Use this identifier to reference this record