New variational principles for locating periodic orbits of differential equations

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.


Published in:
Philosophical Transactions Of The Royal Society A-Mathematical Physical And Engineering Sciences, 369, 2211-2218
Presented at:
Conference on the Discrete Simulation of Fluid Dynamics (DSFD 2010), Rome, ITALY, Jul 05-08, 2010
Year:
2011
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-03-17


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