Time series analysis of transient chaos: Theory and experiment

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.51027· OSTI ID:401080

Janosi, I M ^[1]; Tel, T ^[2]

---

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)

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 H{acute e}non 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} {ital 1996 American Institute of Physics.}

• OSTI ID: 401080
• Report Number(s): CONF-950730-; ISSN 0094-243X; TRN: 96:029457
• Journal Information: AIP Conference Proceedings, Vol. 375, Issue 1; Conference: 3. technical conference on nonlinear dynamics (chaos) and full spectrum processing, Mystic, CT (United States), 10-13 Jul 1995; Other Information: PBD: Jun 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DYNAMICS
TIME-SERIES ANALYSIS
NUCLEAR MAGNETIC RESONANCE
TRANSIENTS
SIGNALS
ATTRACTORS
LASERS
DYNAMICAL SYSTEMS
CHAOTIC SYSTEMS
HENON MAPPING