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


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Noise-induced failures of chaos stabilization: ...
View graph of relations

« Back

Noise-induced failures of chaos stabilization: Large fluctuations and their control.

Research output: Contribution to journalJournal article


Journal publication date9/05/2003
JournalPhysical Review E
Original languageEnglish


Noise-induced failures in the stabilization of an unstable orbit in the one-dimensional logistic map are considered as large fluctuations from a stable state. The properties of the large fluctuations are examined by determination and analysis of the optimal path and the optimal fluctuational force corresponding to the stabilization failure. The problem of controlling noise-induced large fluctuations is discussed, and methods of control have been developed.