- V. Paar (Univ. Zagreb) - Bursts in the chaotic trajectory
lifetimes preceding controlled periodic motion
- Accession Number
- 365XY-0054
- Document Delivery
- 365XY: Document Delivery available
- Authors
- Paar
V. Buljan
H.
- Title
- Bursts in the chaotic trajectory lifetimes preceding controlled periodic
motion
- Source
- Physical Review E. 62(4 Part A):4869-4872, 2000 Oct.
- Abbreviated Source
- Phys. Rev. E. 62(4 Part A):4869-4872, 2000 Oct.
- Copyright Publisher
- AMERICAN PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA.
URL: http://www.aps.org
- ISSN
- 1063-651X
- KeyWords Plus
- Strange
attractors. Orbits.
Transients.
Invariant.
Systems.
Entropy.
Targets.
Decay.
Maps.
Sets.
- Abstract
- The average lifetime [tau>(*) over bar * (H)] it takes for a randomly
started trajectory to land in a small region (H) on a chaotic attractor is
studied. tau>(*) over bar * (H) is an important issue for controlling
chaos. We point out that if the region H is visited by a short periodic
orbit, the lifetime tau>(*) over bar * (H) strongly deviates from the
inverse of the naturally invariant measure contained within that region [mu
(N)(H)(-1)] We introduce the formula that relates tau>(*) over bar *
(H)/mu (N)(H)(-1) to the expanding eigenvalue of the short periodic orbit
visiting H. [References: 25]
- Language
- English
- Publication Type
- Article
- Subset
- Current Contents(R)/Physical, Chemical & Earth Sciences.
- CC Categories
- Physics in Current Contents(R)/Physical, Chemical & Earth Sciences.
- Entry Week
- 2000 week 46
- Reprint Address
- Reprint available from: Paar V. Univ Zagreb, Fac Sci, Dept Phys,
Zagreb 10000, Croatia, .
- Institution
- Reprint available from:
Paar V
Univ Zagreb, Fac Sci, Dept Phys
Zagreb 10000
Croatia
Univ Zagreb, Fac Sci, Dept Phys
Zagreb 10000
Croatia