- V. Paar (Univ. Zagreb) - DISCONTINUOUS PATTERN OF
CUMULATIVE SEPARATION BETWEEN ORBITS OF CHAOTIC TRANSIENT
- Accession Number
- YB645-0007
- Document Delivery
- The Genuine Article Number: YB645
- Authors
- Paar
V. Pavin
N.
- Reprint Address
- Paar V
- Title
- DISCONTINUOUS PATTERN OF CUMULATIVE SEPARATION BETWEEN ORBITS OF CHAOTIC
TRANSIENT
- Source
- Physics Letters A. 235(2):139-144, 1997 Oct 27.
- ISSN
- 0375-9601
- Author Keywords
- Transient
chaos. Modified
logistic map. Controlling
chaos. Cumulative
separation of orbits. Unstable
periodic orbits. Average
lifetime. Uncertainty
exponent.
- KeyWords Plus
- Strange
sets. Repellers.
Attractors.
Eigenvalue.
Behavior.
Escape.
- Abstract
- The logistic map at r = 4 is modified in a narrow interval, stabilizing a
low-period unstable periodic orbit and generating transient chaos. The
cumulative separation Delta between closely lying orbits is proportional to
their initial separation epsilon for epsilon < epsilon(c), while for
epsilon > epsilon(c) it is scattered within a band with epsilon-independent
average, where epsilon(c) is a critical vaIue of initial separation. The
pattern of (epsilon, Delta)-diagram is proposed for characterization of
transient chaos. On the basis of these considerations, the concept of the
uncertainty exponent is extended to the case of transient chaos. (C) 1997
Elsevier Science B.V. [References: 28]
- Language
- English
- Publication Type
- Article
- CC Categories
- Physics.
- Subset
- Current Contents/Physical, Chemical & Earth Sciences
- Institution
- Reprint available from:
Paar V
UNIV ZAGREB
FAC SCI
DEPT PHYS
ZAGREB 41000
CROATIA