- V. Paar (Univ. Zagreb) - Many-hole interactions and the
average lifetimes of chaotic transients that precede controlled periodic
motion - art. no. 066205
- Accession Number
- 442KU-0049
- Document Delivery
- 442KU: Document Delivery available
- Authors
- Buljan
H. Paar
V.
- Title
- Many-hole interactions and the average lifetimes of chaotic transients
that precede controlled periodic motion - art. no. 066205
- Source
- Physical Review E. 6306(6 Part 2):6205-+, 2001 Jun.
- Abbreviated Source
- Phys. Rev. E. 6306(6 Part 2):6205-+, 2001 Jun.
- Copyright Publisher
- AMERICAN PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA.
URL: http://www.aps.org
- ISSN
- 1063-651X
- KeyWords Plus
- Conditionally
invariant-measures. Direct
trajectories. Strange
attractors. Dynamical-systems.
Anosov
maps. Orbits.
Entropy.
Sets.
Exponents.
Repellers.
- Abstract
- We consider n small regions (referred to as the holes) on a chaotic
attractor and study the average lifetime it takes for a randomly initiated
trajectory to land in their union. The holes are thought of as n possible
escape routes for the trajectory. The escape route through one of the holes
may be considerably reduced by other holes, depending on their positions.
This effect, referred to as shadowing, can significantly prolong the average
lifetime. The main result of this paper is the construction and analysis (numerical
and theoretical) of the many-hole interactions. They are interpreted as the
amount of shadowing between the holes. The "effective range" of
these interactions is associated with the largest Lyapunov exponent. The
shadowing effect is shown to he very large when the holes are located on n
points of an unstable periodic orbit. Considerable attention is paid to this
case since it is of interest to the field of controlling chaos. [References:
50]
- 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
- 2001 week 29
- Reprint Address
- Reprint available from: Buljan H. Univ Zagreb, Fac Sci, Dept Phys, Zagreb
10000, Croatia, .
- Institution
- Reprint available from:
Buljan H
Univ Zagreb, Fac Sci, Dept Phys
Zagreb 10000
Croatia
Univ Zagreb, Fac Sci, Dept Phys
Zagreb 10000
Croatia