We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


97% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Noise-induced escape through a fractal basin bo...
View graph of relations

« Back

Noise-induced escape through a fractal basin boundary

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>15/09/2003
<mark>Journal</mark>Physica A: Statistical Mechanics and its Applications
Number of pages7
<mark>Original language</mark>English


We study noise-induced escape within a discrete dynamical system that has two co-existing chaotic attractors in phase space separated by a locally disconnected fractal basin boundary. It is shown that escape occurs via a unique accessible point on the fractal boundary. The structure of escape paths is determined by the original saddles forming the homoclinic structure of the system and by their hierarchical interrelations.

Bibliographic note

This is the author’s version of a work that was accepted for publication in Physica A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A, 327, 3-4, 2003 DOI: 10.1016/S0378-4371(03)00265-6