Linear recursive filters and nonlinear dynamics

Nonlinearity

Volumn 9, Issue 2, 1996, Pages 487-499

  Davies, M E ^a   Campbell, K M ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000045541     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/2/012     Document Type: Article

References (15)

1. Broomhead D S, Huke J P and Muldoon M R 1992 Linear filters and non-linear systems J. R. Stat. Soc. B 54 373-82
2. Badii R, Broggi G, Derighetti B, Ravani M, Ciliberto S, Politi A and Rubio M A 1988 Dimension increase in filtered chaotic signals Phys. Rev. Lett. 60 979-82
3. Dunn D 1994 Invariant manifolds for recursive least squares algorithms M.Sc. Dissertation University College London
4. Eckmann J-P and Ruelle D 1985 Ergodic theory of chaos and strange attractors Rev. Mod. Phys. 57 617-56
5. Edgar G A 1990 Measure, topology and fractal geometry (Undergraduate Texts in Math.) (Berlin: Springer)
6. Fathi A, Herman M and Yoccoz J-C 1983 A proof of Pesin's stable manifold theorem Lecture Notes in Math. 1007 177-215 (Berlin: Springer)
7. Hirsch M, Pugh C and Shub M 1977 Invariant manifolds Lecture Notes in Math. 583 (Berlin: Springer)
8. Johnson R A, Palmer K J and Sell G R 1987 Ergodic properties of linear dynamical systems SIAM J. Math. Anal. 18 1-33
9. Kaplan J and Yorke J 1979 Chaotic behavior of multidimensional difference equations Lecture Notes in Math. 730 228-37 (Berlin: Springer)
10. Mitschke F, Möller M and Lange W 1988 Measuring filtered chaotic signals Phys. Rev. A 37 4518-21
11. Oseledec V I 1968 A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems Trans. Moscow Math. Soc. 19 197-231
12. Pollicott M 1993 Lectures on ergodic theory and Pesin theory on compact manifolds London Math. Soc. Lecture Note Series 180 (Cambridge: Cambridge University Press)
13. Temam R 1988 Infinite-dimensional systems in mathematics and physics Appl. Math. Sci. 68 (Berlin: Springer)
14. Whitney H 1934 Analytic extensions of differential functions defined in closed sets AMS Trans. 36 63-89
15. Young L-S 1982 Dimension, entropy and Lyapunov exponents Ergod. Theor. Dynam. Syst. 2 109-24