Details

Autor(en) / Beteiligte

• Boghosian, Bruce M.
• Fazendeiro, Luis M.
• Lätt, Jonas
• Tang, Hui
• Coveney, Peter V.

Titel

New variational principles for locating periodic orbits of differential equations

Ist Teil von

• Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2011-06, Vol.369 (1944), p.2211-2218

Ort / Verlag

England: The Royal Society Publishing

Erscheinungsjahr

2011

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We present new methods for the determination of periodic orbits of general dynamical systems. Iterative algorithms for finding solutions by these methods, for both the exact continuum case, and for approximate discrete representations suitable for numerical implementation, are discussed. Finally, we describe our approach to the computation of unstable periodic orbits of the driven Navier-Stokes equations, simulated using the lattice Boltzmann equation.