Published June 1996
| Version v1
Journal article
Time series analysis of transient chaos: Theory and experiment
Creators
- 1. Department of Atomic Physics, Eoetvoes University, Budapest, Puskin u. 5-7, H-1088 (Hungary)
- 2. Institute for Theoretical Physics, Eoetvoes University, Budapest, Puskin u. 5-7, H-1088 (Hungary)
Description
A simple method is described how nonattracting chaotic sets can be reconstructed from time series by gluing those pieces of many transiently chaotic signals together that come close to this invariant set. The method is illustrated by both a map of well known dynamics, the Hacute enon map, and a signal obtained from an experiment, the NMR laser. The strange saddle responsible for the transient chaotic behavior is reconstructed and its characteristics like dimension, Lyapunov exponent, and correlation function are determined. copyright 1996 American Institute of Physics
Additional details
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 375
- Journal Issue
- 1
- Journal Page Range
- p. 167-180.
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- 3. technical conference on nonlinear dynamics (chaos) and full spectrum processing.
- Dates
- 10-13 Jul 1995.
- Place
- Mystic, CT (United States).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 28015040
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ATTRACTORS; CORRELATION FUNCTIONS; DYNAMICS; LASERS; NUCLEAR MAGNETIC RESONANCE; PHASE SPACE; SIGNALS; STOCHASTIC PROCESSES; TIME-SERIES ANALYSIS; TRANSIENTS
- Descriptors DEC
- AMPLIFIERS; EQUIPMENT; FUNCTIONS; MAGNETIC RESONANCE; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; RESONANCE; SPACE; STATISTICS
Optional Information
- Secondary number(s)
- CONF-950730--.