In this paper we give sufficient conditions for the existence of hyperbolic trajectories in aperiodically time dependent vector fields. These conditions do not require the a priori introduction of hyperbolicity into the dynamics of the vector field or assumptions of "time scale separation". The hyperbolic trajectory is obtained as a solution of an integral equation over an infinite time interval. We give an expression for the error obtained when the solution is approximated over a finite time interval. Finally, we show how the method can be numerically implemented in a specific example.
|Translated title of the contribution||Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations|
|Pages (from-to)||1449 - 1457|
|Journal||International Journal of Bifurcation and Chaos|
|Publication status||Published - Jun 2003|
Bibliographical notePublisher: World Scientific Publ Co Pte Ltd
Other identifier: IDS number 705DP