Dimension analysis of a chaotic nuclear magnetic resonance laser
- 1 May 1988
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America B
- Vol. 5 (5) , 1029-1036
- https://doi.org/10.1364/josab.5.001029
Abstract
Improved experimental investigations of the parametrically modulated nuclear magnetic resonance laser are discussed with emphasis on the analysis of chaotic states. Phase diagrams of the parameter space are constructed from bifurcation diagrams to display the rich phenomenology of periodic behavior, chaos, and collisions between stable and unstable orbits. Long data strings have been recorded in particularly interesting regions of the parameter space. From the corresponding time series, the attractors have been reconstructed by embedding techniques, and generalized dimensions and entropies have been computed using the kth nearest-neighbor method.Keywords
This publication has 14 references indexed in Scilit:
- Evaluation of dimensions and entropies of chaotic systemsJournal of the Optical Society of America B, 1988
- Evaluation of Lyapunov exponents and scaling functions from time seriesJournal of the Optical Society of America B, 1988
- lnstabilities and Chaos of a Solid State NMR Laser With lnjected SignalsPhysica Scripta, 1986
- Statistical description of chaotic attractors: The dimension functionJournal of Statistical Physics, 1985
- Measurement of the formation and evolution of a strange attractor in a laserPhysical Review Letters, 1985
- Observation of order and chaos in a nuclear spin–flip laserJournal of the Optical Society of America B, 1985
- Low-dimensional chaotic attractors for an unstable, inhomogeneously broadened, single-mode laserJournal of the Optical Society of America B, 1985
- Intrinsic oscillations in measuring the fractal dimensionPhysics Letters A, 1984
- Hausdorff Dimension and Uniformity Factor of Strange AttractorsPhysical Review Letters, 1984
- Chaotic Attractors in CrisisPhysical Review Letters, 1982