RECURRENCE MATRICES AND THE PRESERVATION OF DYNAMICAL PROPERTIES

Authors
MCGUIRE G AZAR NB SHELHAMER M
Citation
G. Mcguire et al., RECURRENCE MATRICES AND THE PRESERVATION OF DYNAMICAL PROPERTIES, Physics letters. A, 237(1-2), 1997, pp. 43-47
Citations number
9
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
237
Issue
1-2
Year of publication
1997
Pages
43 - 47
Database
ISI
SICI code
0375-9601(1997)237:1-2<43:RMATPO>2.0.ZU;2-5
Abstract
We prove that the-construction of a recurrence matrix (a matrix of int er-vector distances) preserves the dynamical properties of an observed attractor. Because of this fact, a recurrence matrix is a useful tran sform for studying high-dimensional systems, ''compressing'' high-dime nsional vector sets into a two-dimensional format without losing relev ant information. Practical issues are discussed in an example. (C) 199 7 Elsevier Science B.V.