Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion

Znanstveni rad - Izvorni znanstveni rad

• Autor: Hrvoje Buljan
• Autor: Vladimir Paar
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

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 be 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.

• Ključne riječi (engleski): chaotic transients; holes on chaotic attractor; controlled periodic motion
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran - međunarodna recenzija
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Physical Review E
• Brojčani podaci: vol. 63, br. 6, str. 66205-13
• p-ISSN: 1539-3755
• DOI: https://doi.org/10.1103/PhysRevE.63.066205
• URN:NBN: urn:nbn:hr:217:646639
• Datum objave publikacije: 2001
• URL dokumenta: http://link.aps.org/doi/10.1103/PhysRevE.63.066205
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Javna napomena: Copyright (2001) by the American Physical Society.
• Datum i vrijeme pohrane: 2019-10-11 15:07:07