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Time series analysis of homoclinic nonlinear systems using a wavelet transform method (2004)
Journal Article
Austin, J. C., & Healey, J. J. (2004). Time series analysis of homoclinic nonlinear systems using a wavelet transform method. Fluid Dynamics Research, 34(6), Article 401. https://doi.org/10.1016/j.fluiddyn.2004.03.002

Homoclinic (and heteroclinic) trajectories are closed paths in phase space that connect one or more saddle points. They play an important role in the study of dynamical systems and are associated with the creation/destruction of limit cycles as a par... Read More about Time series analysis of homoclinic nonlinear systems using a wavelet transform method.

Mathematical Theory of Recursive Symbol Systems. Technical Report GEN-0401. (2004)
Book
(2004). Mathematical Theory of Recursive Symbol Systems. Technical Report GEN-0401

This paper introduces a new type of graph grammar for representing recursively structured two-dimensional geometric patterns, for the purposes of syntactic pattern recognition. The grammars are noise-tolerant, in the sense that they can accommodate p... Read More about Mathematical Theory of Recursive Symbol Systems. Technical Report GEN-0401..