Distinguished trajectories in time dependent vector fields

@misc{citeulike:2895959, abstract = {We introduce a new definition of distinguished trajectory that generalises the concept of fixed point and periodic orbit to aperiodic dynamical systems. This new definition is valid to identify distinguished trajectories with hyperbolic and non hyperbolic type of stability. The definition is numerically implemented and the procedure consist of determining a path of limit coordinates. It has been successfully applied to known examples of distinguished trajectories. In the context of highly aperiodic realistic flows our definition characterizes distinguished trajectories in finite time intervals, and states that beyond those times trajectories are not longer distinguished.}, author = {Madrid, Jimenez J. A. and Mancho, Ana M. }, citeulike-article-id = {2895959}, eprint = {0806.1155}, keywords = {dynamical-system, hyperbolic}, month = {Jun}, posted-at = {2008-06-15 09:34:18}, priority = {2}, title = {Distinguished trajectories in time dependent vector fields}, url = {http://arxiv.org/abs/0806.1155}, year = {2008} }

TY - ELEC ID - citeulike:2895959 L3 - citeulike-article-id:2895959 TI - Distinguished trajectories in time dependent vector fields N2 - We introduce a new definition of distinguished trajectory that generalises the concept of fixed point and periodic orbit to aperiodic dynamical systems. This new definition is valid to identify distinguished trajectories with hyperbolic and non hyperbolic type of stability. The definition is numerically implemented and the procedure consist of determining a path of limit coordinates. It has been successfully applied to known examples of distinguished trajectories. In the context of highly aperiodic realistic flows our definition characterizes distinguished trajectories in finite time intervals, and states that beyond those times trajectories are not longer distinguished. KW - dynamical-system KW - hyperbolic AU - Madrid, Jimenez AU - Mancho, Ana PY - 2008/Jun/06/ UR - http://arxiv.org/abs/0806.1155 ER -