Estimating the correlation dimension of an attractor from noisy and small datasets based on re-embedding
- 1 June 1993
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 65 (4) , 373-398
- https://doi.org/10.1016/0167-2789(93)90063-7
Abstract
No abstract availableKeywords
This publication has 54 references indexed in Scilit:
- Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systemsPhysica D: Nonlinear Phenomena, 1992
- Trans-embedding-scaled dynamicsPhysics Letters A, 1991
- Conservation laws and thermodynamic formalism for Dissipative Dynamical SystemsLa Rivista del Nuovo Cimento, 1989
- Singular-value decomposition and the Grassberger-Procaccia algorithmPhysical Review A, 1988
- Global scaling properties of a chaotic attractor reconstructed from experimental dataPhysical Review A, 1988
- The climate attractor over short timescalesNature, 1987
- Extracting qualitative dynamics from experimental dataPhysica D: Nonlinear Phenomena, 1986
- Calculating the dimension of attractors from small data setsPhysics Letters A, 1986
- Ergodic theory of chaos and strange attractorsReviews of Modern Physics, 1985
- Roads to turbulence in dissipative dynamical systemsReviews of Modern Physics, 1981